Details

Time bar (total: 13.1s)

analyze78.0ms (0.6%)

Algorithm
1×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
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
75%75%25%0%0%0%0%5
75%75%25%0%0%0%0%6
78.1%78.1%21.9%0%0%0%0%7
78.1%78.1%21.9%0%0%0%0%8
78.1%78.1%21.9%0%0%0%0%9
78.1%78.1%21.9%0%0%0%0%10
78.1%78.1%21.9%0%0%0%0%11
78.1%78.1%21.9%0%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample3.8s (28.8%)

Results
1.5s2063×body2048valid
1.1s1135×body1024valid
773.0ms3409×body256valid
389.0ms1547×body512valid
63.0ms102×body4096valid
Bogosity

preprocess56.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
1346×rational.json-simplify-2
1134×rational.json-simplify-59
1064×rational.json-simplify-44
960×rational.json-simplify-47
736×rational.json-simplify-54
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11723
23723
38823
438923
5457723
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1346×rational.json-simplify-2
1134×rational.json-simplify-59
1064×rational.json-simplify-44
960×rational.json-simplify-47
736×rational.json-simplify-54
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11723
23723
38823
438923
5457723
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
25.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶25.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.6b
(-.f64 1 (cos.f64 x))
✓12.7b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite57.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1862×rational.json-simplify-35
1058×exponential.json-3
1058×rational.json-1
1058×rational.json-2
1058×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
17334
220734
362434
4273034
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 1 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) 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 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 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 (-.f64 1 (cos.f64 x)) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))))

simplify106.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1300×rational.json-simplify-57
1036×rational.json-simplify-43
604×rational.json-simplify-1
594×rational.json-simplify-35
590×rational.json-simplify-53
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01642074
13392074
29522038
339032026
473722026
Stop Event
1×node limit
Counts
90 → 102
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 x (/.f64 x (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (*.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))))
(*.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(*.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (*.f64 x 1/2) (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))) 2)
(*.f64 (/.f64 x (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) x)
(*.f64 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 x 1/2))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (fabs.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(*.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)) 2))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.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 (-.f64 1 (cos.f64 x)) 2) 4) 8)
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)
(/.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 4)) 16)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.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 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 x (/.f64 x (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (*.f64 x x)) 1/2))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 2 (*.f64 x x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/2 x) (/.f64 2 x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (*.f64 x x)) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 2 (*.f64 x x))))
(*.f64 (*.f64 x 1/2) (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 x (*.f64 1/2 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(*.f64 1/2 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (+.f64 (/.f64 1 x) (/.f64 1 x)))) x))
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))))
(*.f64 1/2 (*.f64 x (/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x)) x)))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/2 x) (/.f64 2 x)))
(*.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 x (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) x)
(*.f64 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (/.f64 x (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 x (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 x 1/2))
(*.f64 x (*.f64 1/2 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(*.f64 1/2 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (+.f64 (/.f64 1 x) (/.f64 1 x)))) x))
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))))
(*.f64 1/2 (*.f64 x (/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x)) x)))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (fabs.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.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 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(-.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)) 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 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(*.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.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) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 4) 8)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 4)) 16)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))

eval87.0ms (0.7%)

Compiler

Compiled 1309 to 769 computations (41.3% saved)

prune19.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New939102
Fresh000
Picked011
Done000
Total9310103
Error
0.1b
Counts
103 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓25.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶38.2b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
▶24.4b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶24.5b
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
24.8b
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
29.3b
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
28.7b
(*.f64 1/2 (*.f64 x (/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x)) x)))
▶28.7b
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))))
▶24.4b
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
37.0b
1/2
Compiler

Compiled 215 to 156 computations (27.4% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
✓0.2b
(/.f64 (+.f64 (cos.f64 x) -1) x)
✓1.6b
(+.f64 (cos.f64 x) -1)
Compiler

Compiled 32 to 17 computations (46.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite84.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1456×rational.json-1
1456×rational.json-2
1456×rational.json-4
1456×rational.json-3
1438×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
17051
220251
357851
4202051
5526851
Stop Event
1×node limit
Counts
3 → 108
Calls
Call 1
Inputs
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 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) 2))))) (#(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 1/2 (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -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 (*.f64 (cos.f64 x) 2) -2) 4) 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 (*.f64 (cos.f64 x) 2) -2) 4)) 16)))) (#(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 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (+.f64 (cos.f64 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1/2) (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) 2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1/2 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))

simplify160.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1038×exponential.json-simplify-26
1038×rational.json-simplify-51
1014×rational.json-simplify-53
944×rational.json-simplify-2
772×rational.json-simplify-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02113570
13843030
210513030
327953030
443623030
559663030
673543030
Stop Event
1×node limit
Counts
144 → 157
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 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
-1/2
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2)
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(-.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) 2))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(*.f64 (-.f64 1 (cos.f64 x)) -1)
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -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 (*.f64 (cos.f64 x) 2) -2) 4) 8)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -2)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 4)) 16)
(pow.f64 (+.f64 (cos.f64 x) -1) 1)
(neg.f64 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 0)
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(+.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 0)
(-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) 1/2)
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 x))
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (/.f64 1 x) 1/2))
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2))
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x) 1/4)
(*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1)
(*.f64 (/.f64 2 x) (/.f64 (+.f64 (cos.f64 x) -1) 2))
(*.f64 (/.f64 1/2 x) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))
(*.f64 (*.f64 (/.f64 1 x) 1/2) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (/.f64 -1 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) 2) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) 2)
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(*.f64 1/4 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)) 2)
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)))
(+.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) -1)
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 0)
(-.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (*.f64 (/.f64 1 x) 1/2))
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 (/.f64 1/2 x) x))
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))
(*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)))
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))))
(*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2))
(*.f64 2 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1/2 x)))
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1/2 x) x)))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(*.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))
(*.f64 (/.f64 2 x) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) -1)
(*.f64 (/.f64 1/2 x) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))))
(*.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)) 2)
(*.f64 (/.f64 1 (*.f64 x 4)) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))) 2)
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2) 2)
(*.f64 (/.f64 -1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1/2 x)) 2)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1/2 x) x)) 2)
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 -1/2 (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 (*.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 1/40320 (pow.f64 x 8)) (+.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 (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 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (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 -1/720 (pow.f64 x 5))))
(+.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3))) (*.f64 -1/720 (pow.f64 x 5)))
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 x) (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 -1/720 (pow.f64 x 5))) (*.f64 1/40320 (pow.f64 x 7))))
(+.f64 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 -1/720 (pow.f64 x 5)))) (*.f64 1/40320 (pow.f64 x 7)))
(+.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3))) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/40320 (pow.f64 x 7))))
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
-1/2
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/24) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2)
(+.f64 (*.f64 (pow.f64 x 2) 1/24) (-.f64 (*.f64 (pow.f64 x 4) -1/720) 1/2))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/24) (*.f64 (pow.f64 x 4) -1/720)) 1/2)
(+.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/24) 1/2) (*.f64 (pow.f64 x 4) -1/720))
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/24) (*.f64 (pow.f64 x 6) 1/40320)) (-.f64 (*.f64 (pow.f64 x 4) -1/720) 1/2))
(-.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/720) (+.f64 (*.f64 (pow.f64 x 2) 1/24) (*.f64 (pow.f64 x 6) 1/40320))) 1/2)
(+.f64 (*.f64 (pow.f64 x 2) 1/24) (+.f64 (*.f64 (pow.f64 x 6) 1/40320) (-.f64 (*.f64 (pow.f64 x 4) -1/720) 1/2)))
(+.f64 (*.f64 (pow.f64 x 2) 1/24) (+.f64 (*.f64 (pow.f64 x 4) -1/720) (-.f64 (*.f64 (pow.f64 x 6) 1/40320) 1/2)))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 2))
(/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 2))
(-.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))
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) 2))
(+.f64 (cos.f64 x) -1)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(+.f64 (cos.f64 x) -1)
(*.f64 (-.f64 1 (cos.f64 x)) -1)
(+.f64 (cos.f64 x) -1)
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 1/2 (+.f64 (*.f64 2 (cos.f64 x)) -2))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) 2) 2)
(+.f64 (cos.f64 x) -1)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 x) -1) 4))
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)
(/.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(+.f64 (cos.f64 x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) -1)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 4) 8)
(*.f64 1/2 (+.f64 (*.f64 2 (cos.f64 x)) -2))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -2)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 4)) 16)
(*.f64 1/2 (+.f64 (*.f64 2 (cos.f64 x)) -2))
(pow.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(neg.f64 (-.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 0)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(+.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 0)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) 1/2)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 x))
(*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (/.f64 1/2 x))
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (/.f64 1 x) 1/2))
(*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (*.f64 1/2 (/.f64 1 x)))
(*.f64 1/2 (*.f64 (/.f64 1 x) (+.f64 (*.f64 2 (cos.f64 x)) -2)))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (/.f64 1 x)))
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 x 4)))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x) 1/4)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 2 x) (/.f64 (+.f64 (cos.f64 x) -1) 2))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 1/2 x) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (/.f64 1/2 x))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (*.f64 (/.f64 1 x) 1/2) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (*.f64 1/2 (/.f64 1 x)))
(*.f64 1/2 (*.f64 (/.f64 1 x) (+.f64 (*.f64 2 (cos.f64 x)) -2)))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (/.f64 1 x)))
(*.f64 (/.f64 -1 x) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) 2)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) 2) (/.f64 2 x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) 2)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 1/4 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)) 2)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (+.f64 (cos.f64 x) -1) x)
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 0)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(+.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) -1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 0)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (/.f64 1/2 x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (*.f64 (/.f64 1 x) 1/2))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 (/.f64 1/2 x) x))
(*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (/.f64 1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))
(*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (*.f64 1/2 (/.f64 1 (*.f64 x x))))
(*.f64 1/2 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 2 (cos.f64 x)) -2)))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (/.f64 1 (*.f64 x x))))
(*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1/2 x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1/2 x) x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x) (/.f64 1 (*.f64 x 4)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 1/2 (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) -1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (/.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 1/2 (/.f64 2 (*.f64 x x))))
(*.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (+.f64 (*.f64 (cos.f64 x) 2) -2))
(*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (*.f64 1/2 (/.f64 1 (*.f64 x x))))
(*.f64 1/2 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 2 (cos.f64 x)) -2)))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) (/.f64 1 (*.f64 x x))))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 2 x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 x x)) 2)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x 4)) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))) 2)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (+.f64 (cos.f64 x) -1) 4))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2) 2)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1/2 x)) 2)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1/2 x) x)) 2)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
✓0.2b
(*.f64 -1/24 (pow.f64 x 2))
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite240.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
2138×rational.json-simplify-35
1956×rational.json-simplify-2
1308×rational.json-simplify-1
1198×exponential.json-3
1198×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
15832
211332
321132
438732
584532
6213532
7364132
8433032
9526932
10588032
11588032
12649132
13676032
14737432
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/24 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/48) (*.f64 (pow.f64 x 2) -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -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 2) -1/3)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)))))

simplify395.0ms (3%)

Algorithm
1×egg-herbie
Rules
4278×rational.json-simplify-51
2792×rational.json-simplify-48
2566×rational.json-simplify-35
1414×rational.json-simplify-2
1358×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085678
1207678
2389678
3914678
42533678
53752678
64191678
74652678
84966678
95432678
105582678
115760678
125873678
136126678
146133678
156416678
166909678
176936678
187051678
197164678
Stop Event
1×node limit
Counts
42 → 42
Calls
Call 1
Inputs
1/2
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) -1/48) (*.f64 (pow.f64 x 2) -1/48))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(/.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(/.f64 (*.f64 (pow.f64 x 2) -1/12) 2)
(/.f64 (*.f64 (pow.f64 x 2) -1/6) 4)
(/.f64 (*.f64 (pow.f64 x 2) -1/3) 8)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3)))))) 256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3))))))) 512)
(pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 0)
(*.f64 2 (*.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))
(*.f64 1/2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)
(*.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2))
(*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/2)
(*.f64 4 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/8))
(*.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))) 1/4)
(*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 1/8)
(*.f64 (*.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 2)
(*.f64 1/4 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))))
(*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/8) 4)
(*.f64 1/8 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 2)
(/.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))) 4)
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)))))) 256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))))))) 512)
(pow.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)
Outputs
1/2
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) -1/48) (*.f64 (pow.f64 x 2) -1/48))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/12) 2)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/6) 4)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/3) 8)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3)) 16)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3))) 32)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3)))) 64)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3))))) 128)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3)))))) 256)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/3))))))) 512)
(*.f64 -1/24 (pow.f64 x 2))
(pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 0)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 2 (*.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 1/2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 4 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/8))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))) 1/4)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 1/8)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 (*.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 1/4 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/8) 4)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 1/8 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12))) 4)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 8)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)) 16)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))) 32)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)))) 64)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))))) 128)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4)))))) 256)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))))))) 512)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(pow.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) 1)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
✓0.2b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite90.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1940×rational.json-simplify-35
1032×rational.json-simplify-2
1000×rational.json-1
1000×rational.json-2
1000×rational.json-4
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01046
17940
219440
346040
4148240
5363040
Stop Event
1×node limit
Counts
2 → 221
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 1 x) 1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (*.f64 1/4 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 -1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 0 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (/.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (neg.f64 (*.f64 x (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (-.f64 0 (*.f64 x (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (/.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 0 (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 2 (/.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (/.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (+.f64 (*.f64 2 (/.f64 x (/.f64 1 x))) (*.f64 2 (/.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 x (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (/.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (/.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 4) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (*.f64 2 (/.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (+.f64 (*.f64 2 (/.f64 1 (/.f64 1 x))) (*.f64 2 (/.f64 1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (*.f64 (*.f64 x x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (+.f64 (*.f64 2 (/.f64 x (/.f64 1/2 x))) (*.f64 2 (/.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 2 (/.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (/.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))) (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (*.f64 x (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (+.f64 (*.f64 2 (/.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4) (*.f64 2 (*.f64 (*.f64 x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (neg.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (+.f64 (neg.f64 (*.f64 x (+.f64 x x))) (neg.f64 (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (+.f64 (*.f64 2 (/.f64 x (/.f64 -1 x))) (*.f64 2 (/.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2) (-.f64 0 (/.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 8) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 -1 x)) (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 1 x) x)) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8) (+.f64 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 2 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)) (+.f64 (*.f64 2 (*.f64 (*.f64 x x) 8)) (*.f64 2 (*.f64 (*.f64 x x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (+.f64 (*.f64 x (*.f64 x -4)) (*.f64 x (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (+.f64 (neg.f64 (*.f64 x (*.f64 x 4))) (neg.f64 (*.f64 x (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 x)) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (*.f64 2 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 2 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 1 x) 8)) (+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 32 (+.f64 (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 -1 x))) (*.f64 2 (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8)) (-.f64 0 (*.f64 (*.f64 x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 0 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 1 x) 2)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 1 x) x)) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (neg.f64 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (neg.f64 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (-.f64 0 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 1 x) 4)) (-.f64 0 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (*.f64 2 (*.f64 2 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 2 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 2 x)) (*.f64 2 (/.f64 2 x))) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 2 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (*.f64 2 (*.f64 2 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 1 x) x)) (*.f64 2 (/.f64 (/.f64 1 x) x))) (+.f64 (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 2 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 2 (*.f64 2 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (+.f64 (*.f64 2 (*.f64 x -4)) (*.f64 2 (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (/.f64 1 x) 2)) (neg.f64 (*.f64 (/.f64 1 x) 2))) (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 (/.f64 1 x) x)) (neg.f64 (/.f64 (/.f64 1 x) x))) (+.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 2 x))) (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (+.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 -1 x))) (-.f64 0 (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (-.f64 0 (*.f64 2 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 2 x))) (-.f64 0 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (-.f64 0 (*.f64 2 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (-.f64 0 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (-.f64 0 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (-.f64 0 (*.f64 2 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (-.f64 0 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 x) 2))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 x) x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 2 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))))

simplify151.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1408×rational.json-simplify-35
1062×rational.json-simplify-1
782×rational.json-simplify-51
736×rational.json-simplify-50
622×rational.json-simplify-49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05085859
116465751
251115735
376005735
Stop Event
1×node limit
Counts
237 → 260
Calls
Call 1
Inputs
(*.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 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 -1 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 2 (*.f64 (*.f64 (/.f64 1 x) 1/2) (-.f64 1 (cos.f64 x))))
(*.f64 2 (*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) 1/2))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) 1/2)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x 4)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 x)))
(*.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x))
(*.f64 -2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (*.f64 1/4 (/.f64 1/2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 -1 (/.f64 1/2 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1)
(*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) 2)
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(-.f64 0 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (-.f64 0 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (/.f64 x (/.f64 -1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (neg.f64 (*.f64 x (+.f64 x x))) -2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) -2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(/.f64 2 (-.f64 0 (*.f64 x (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (+.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 x (/.f64 1/2 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (/.f64 x (/.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 0 (*.f64 x (*.f64 x -2))))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 2 (/.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 2 (/.f64 1 (/.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (/.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (+.f64 (*.f64 2 (/.f64 x (/.f64 1 x))) (*.f64 2 (/.f64 x (/.f64 1 x)))))
(/.f64 (*.f64 (/.f64 1 x) 2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 4 (*.f64 x (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 2)
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 x (/.f64 -1 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (/.f64 x (/.f64 1 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 x x) -1))
(/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 -2 (*.f64 x (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))
(/.f64 -2 (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (*.f64 (/.f64 1 x) 4) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))
(/.f64 8 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (*.f64 x 4))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (*.f64 2 (/.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (+.f64 (*.f64 2 (/.f64 1 (/.f64 1 x))) (*.f64 2 (/.f64 1 (/.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (*.f64 (*.f64 x x) 8))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (+.f64 (*.f64 2 (/.f64 x (/.f64 1/2 x))) (*.f64 2 (/.f64 x (/.f64 1/2 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 x (*.f64 x -2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 2 (/.f64 x (/.f64 -1 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (*.f64 x (+.f64 x x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 x (/.f64 1/2 x))))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) x) 4)
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (/.f64 1 (/.f64 1 x))))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)))
(/.f64 -4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4)))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))) (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))))
(/.f64 -4 (-.f64 0 (*.f64 x (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (*.f64 x 8))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (+.f64 (*.f64 2 (/.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 2 (/.f64 1 x)))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4) (*.f64 2 (*.f64 (*.f64 x x) 8)))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x -4)))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (neg.f64 (*.f64 x (*.f64 x 4))))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (+.f64 (neg.f64 (*.f64 x (+.f64 x x))) (neg.f64 (*.f64 x (+.f64 x x)))))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (+.f64 (*.f64 2 (/.f64 x (/.f64 -1 x))) (*.f64 2 (/.f64 x (/.f64 -1 x)))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2) (*.f64 x -2))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2) (-.f64 0 (/.f64 2 (/.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 x) 8) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8))
(/.f64 16 (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))))
(/.f64 (*.f64 2 (/.f64 -1 x)) (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8) 8)
(/.f64 (*.f64 2 (/.f64 (/.f64 1 x) x)) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 4)
(/.f64 (/.f64 2 x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x) (*.f64 x 8))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x) (*.f64 x -2))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(/.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 x -2))
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
(/.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 1/2)
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 x -4))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8) (+.f64 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4))))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 2 (*.f64 x 8)))
(/.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)) (+.f64 (*.f64 2 (*.f64 (*.f64 x x) 8)) (*.f64 2 (*.f64 (*.f64 x x) 8))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (+.f64 (*.f64 x (*.f64 x -4)) (*.f64 x (*.f64 x -4))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (+.f64 (neg.f64 (*.f64 x (*.f64 x 4))) (neg.f64 (*.f64 x (*.f64 x 4)))))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (*.f64 x -4))
(/.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) -2)
(/.f64 (*.f64 2 (/.f64 2 x)) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (*.f64 2 (*.f64 x 8)))
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (*.f64 x -4))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8)) 16)
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 8)
(/.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (*.f64 x -4))
(/.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (*.f64 x 8)))
(/.f64 (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) -2)
(/.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) -2)
(/.f64 (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 2 (*.f64 x -4)))
(/.f64 -8 (+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4))))
(/.f64 -8 (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))))
(/.f64 (*.f64 2 (*.f64 (/.f64 1 x) 8)) (+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8)))
(/.f64 32 (+.f64 (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8)))))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 -1 x))) (*.f64 2 (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8)) (-.f64 0 (*.f64 (*.f64 x x) 8)))
(/.f64 (neg.f64 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 x (*.f64 x 4)))
(/.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 0 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (neg.f64 (*.f64 (/.f64 1 x) 2)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 x) x)) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (+.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (+.f64 x x))
(/.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (+.f64 x x))
(/.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (-.f64 0 (*.f64 x -4)))
(/.f64 (neg.f64 (*.f64 (/.f64 1 x) 4)) (-.f64 0 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (*.f64 2 (*.f64 2 (*.f64 x 8))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 2 (*.f64 x -4)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) -4)
(/.f64 (+.f64 (*.f64 2 (/.f64 2 x)) (*.f64 2 (/.f64 2 x))) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 2 (*.f64 x -4)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (*.f64 2 (*.f64 2 (*.f64 x 8))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 1 x) x)) (*.f64 2 (/.f64 (/.f64 1 x) x))) (+.f64 (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)))) 16)
(/.f64 (+.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 2 (*.f64 x -4)))
(/.f64 (+.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 2 (*.f64 2 (*.f64 x 8))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) -4)
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) 4))
(/.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))) -4)
(/.f64 (+.f64 (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (+.f64 (*.f64 2 (*.f64 x -4)) (*.f64 2 (*.f64 x -4))))
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 1 x) 2)) (neg.f64 (*.f64 (/.f64 1 x) 2))) (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 1 x) x)) (neg.f64 (/.f64 (/.f64 1 x) x))) (+.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))
(/.f64 (+.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 2 x))) (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 x 4))
(/.f64 (+.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 x 4))
(/.f64 (+.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))
(/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (+.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 x 4))
(/.f64 (+.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (*.f64 x 8))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -1 x))) (-.f64 0 (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 x))) (-.f64 0 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (-.f64 0 (*.f64 x -4)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (-.f64 0 (*.f64 x -4)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (-.f64 0 (*.f64 x -4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 x) 2))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 x) x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (*.f64 x 8))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (*.f64 x 8))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 x -2))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 x -2))
(/.f64 (neg.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 x 8))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 x -2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (*.f64 x -4))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1/24 (pow.f64 x 3)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/720 (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 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 x) (+.f64 (+.f64 (*.f64 1/720 (pow.f64 x 5)) (*.f64 -1/40320 (pow.f64 x 7))) (*.f64 -1/24 (pow.f64 x 3))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/720 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 -1/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/24 (pow.f64 x 3))) (+.f64 (*.f64 1/720 (pow.f64 x 5)) (*.f64 -1/40320 (pow.f64 x 7))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 -1 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 2 (*.f64 (*.f64 (/.f64 1 x) 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 2 (*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x))
(*.f64 -2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1/2 x) -2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (*.f64 1/4 (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 -1 (/.f64 1/2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 1/2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 -2 (/.f64 -1/2 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (-.f64 0 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (/.f64 x (/.f64 -1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (neg.f64 (*.f64 x (+.f64 x x))) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (-.f64 0 (*.f64 x (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (/.f64 x (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 0 (*.f64 x (*.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 2 (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 2 (/.f64 1 (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (/.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (+.f64 (*.f64 2 (/.f64 x (/.f64 1 x))) (*.f64 2 (/.f64 x (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) 2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (*.f64 x (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 x (/.f64 -1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (/.f64 x (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 x x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)) x)))
(/.f64 x (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))))
(/.f64 -2 (*.f64 x (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -2 (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) 4) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 8 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (*.f64 2 (/.f64 2 (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (+.f64 (*.f64 2 (/.f64 1 (/.f64 1 x))) (*.f64 2 (/.f64 1 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (*.f64 (*.f64 x x) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (+.f64 (*.f64 2 (/.f64 x (/.f64 1/2 x))) (*.f64 2 (/.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 x (*.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (*.f64 2 (/.f64 x (/.f64 -1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) x) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (/.f64 1 (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))) (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -4 (-.f64 0 (*.f64 x (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (+.f64 (*.f64 2 (/.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4) (*.f64 2 (*.f64 (*.f64 x x) 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x -4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (neg.f64 (*.f64 x (*.f64 x 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (+.f64 (neg.f64 (*.f64 x (+.f64 x x))) (neg.f64 (*.f64 x (+.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) (+.f64 (*.f64 2 (/.f64 x (/.f64 -1 x))) (*.f64 2 (/.f64 x (/.f64 -1 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4 (+.f64 (*.f64 2 (/.f64 x (/.f64 -1 x))) (*.f64 2 (/.f64 x (/.f64 -1 x))))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4 (*.f64 (/.f64 x (/.f64 -1 x)) 4)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2) (-.f64 0 (/.f64 2 (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) 8) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 16 (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 -1 x)) (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (/.f64 1 x) x)) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 x -4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8) (+.f64 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 2 (*.f64 x 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)) (+.f64 (*.f64 2 (*.f64 (*.f64 x x) 8)) (*.f64 2 (*.f64 (*.f64 x x) 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (+.f64 (*.f64 x (*.f64 x -4)) (*.f64 x (*.f64 x -4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (+.f64 (neg.f64 (*.f64 x (*.f64 x 4))) (neg.f64 (*.f64 x (*.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (*.f64 x -4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) -2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 2 x)) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (*.f64 2 (*.f64 x 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (*.f64 x -4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8)) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (*.f64 x -4))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 x 2)) (/.f64 2 (*.f64 x -4)))
(*.f64 (/.f64 -1/2 x) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 x 2)))
(/.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (*.f64 x 8)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x 8)) (/.f64 2 (*.f64 x 16)))
(/.f64 (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) -2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (/.f64 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 x (*.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (*.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) -2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 2 (*.f64 x -4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -8 (+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x -4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -8 (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 1 x) 8)) (+.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 32 (+.f64 (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 8)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 -1 x))) (*.f64 2 (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 -1 x))) (*.f64 2 (*.f64 -2 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 2 (/.f64 -1 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) 2))
(*.f64 (*.f64 2 (/.f64 -1 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8)) (-.f64 0 (*.f64 (*.f64 x x) 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 4 (+.f64 (cos.f64 x) -1))) (*.f64 x (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 0 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)) x)))
(/.f64 x (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))))
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 x (*.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 -1/2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2))
(/.f64 (neg.f64 (*.f64 (/.f64 1 x) 2)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (/.f64 1 x) x)) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (neg.f64 (*.f64 x 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (neg.f64 (*.f64 x 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (*.f64 x 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (-.f64 0 (*.f64 x -4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 1 x) 4)) (-.f64 0 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (*.f64 2 (*.f64 2 (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 2 (*.f64 x -4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) (*.f64 2 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) -4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (/.f64 2 x)) (*.f64 2 (/.f64 2 x))) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 2 (*.f64 x -4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (*.f64 2 (*.f64 2 (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 1 x) x)) (*.f64 2 (/.f64 (/.f64 1 x) x))) (+.f64 (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 8))) 32)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)))) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 2 (*.f64 x -4)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 x 2)) (/.f64 2 (*.f64 x -4)))
(*.f64 (/.f64 -1/2 x) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 x 2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 2 (*.f64 2 (*.f64 x 8))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x 8)) (/.f64 2 (*.f64 x 16)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) -4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) 4))
(/.f64 (+.f64 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (/.f64 x (*.f64 x (-.f64 1 (cos.f64 x)))) 4) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 4 (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))) -4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (*.f64 2 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (+.f64 (*.f64 2 (*.f64 x -4)) (*.f64 2 (*.f64 x -4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 1 x) 2)) (neg.f64 (*.f64 (/.f64 1 x) 2))) (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 1 x) x)) (neg.f64 (/.f64 (/.f64 1 x) x))) (+.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 2 x))) (+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2))) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x)) (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x)) (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1)))) (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (+.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)) (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (+.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2)) (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -1 x))) (-.f64 0 (/.f64 (*.f64 x -2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 x))) (-.f64 0 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (-.f64 0 (*.f64 x -4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (-.f64 0 (*.f64 x -4)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 x 2)) (/.f64 2 (*.f64 x -4)))
(*.f64 (/.f64 -1/2 x) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 x 2)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x 8)) (/.f64 2 (*.f64 x 16)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (/.f64 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 x (*.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (*.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (-.f64 0 (*.f64 x -4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 x) 2))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 x) x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) x))) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) x))) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 x (+.f64 (cos.f64 x) -1))))) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -2))) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))) (*.f64 x -4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
✓0.2b
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 37 to 24 computations (35.1% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1286×rational.json-1
1286×rational.json-2
1286×rational.json-4
1286×rational.json-3
1272×exponential.json-3
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01358
110058
223058
353558
4140946
5434546
Stop Event
1×node limit
Counts
2 → 143
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/2) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2)) (-.f64 0 (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (*.f64 4 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/2)) (*.f64 4 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) 1/2)) (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 x (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (*.f64 x 4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 x (/.f64 1/4 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (*.f64 x 8)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (/.f64 (*.f64 x (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (/.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 x) (-.f64 0 (/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 x) (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) (neg.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))) (*.f64 4 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) (*.f64 2 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 4)) (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) (*.f64 4 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (*.f64 2 (*.f64 4 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))) (*.f64 2 (*.f64 4 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (neg.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2) (*.f64 4 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (/.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/2) (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) (neg.f64 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (-.f64 0 (*.f64 4 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) (-.f64 0 (*.f64 2 (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))) (*.f64 4 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))) (-.f64 0 (*.f64 4 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 4))) (-.f64 0 (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2)) (-.f64 0 (*.f64 4 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (/.f64 x -1/2)))))))

simplify108.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1280×rational.json-simplify-35
1054×rational.json-simplify-2
1020×rational.json-simplify-50
898×rational.json-simplify-43
686×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03383893
112313893
239953893
364723893
Stop Event
1×node limit
Counts
167 → 162
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 1/360 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/20160 (pow.f64 x 7)) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 1/360 (pow.f64 x 5)) x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 0)
(+.f64 0 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(-.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 0)
(-.f64 0 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))
(/.f64 1 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 1/2))
(/.f64 2 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 2 (*.f64 2 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1)
(/.f64 4 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 4 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 -1 (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))
(/.f64 8 (*.f64 2 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) x)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) 1/4)
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x -1/2))
(/.f64 -2 (-.f64 0 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 -4 (neg.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)) 4)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (+.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2)
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) -1)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(/.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) 8)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 x 4))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1/4) 4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) 16)
(/.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1/4)) 8)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1/2)
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) 1/2) (+.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)) -1)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/2) (*.f64 x 4))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 x)) -2)
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 x -1/2))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2)) (-.f64 0 (/.f64 x 4)))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (*.f64 4 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/2)) (*.f64 4 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (+.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) 1/2)) (/.f64 x -1/2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2))) x)
(pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1)
(neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (+.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 x (/.f64 1/2 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (*.f64 x 4)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 x (/.f64 1/4 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (*.f64 x 8)) 8))
(/.f64 2 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(/.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (+.f64 x x))
(/.f64 1/2 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))
(/.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 4 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 4 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))
(/.f64 4 (*.f64 2 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 8 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 x 4))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (*.f64 x (+.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (*.f64 x 1/2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (/.f64 (*.f64 x (*.f64 x 1/2)) x))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (/.f64 x (/.f64 1 x))))
(/.f64 -1/2 (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))))
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 -2 (-.f64 0 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) 4)
(/.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)) (*.f64 x 8))
(/.f64 (/.f64 -1/2 x) (-.f64 0 (/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (/.f64 -1/2 x) (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))
(/.f64 (/.f64 -2 x) (neg.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) (/.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))) (*.f64 4 (neg.f64 x)))
(/.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) (*.f64 2 (*.f64 x 8)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) 4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 4)) (/.f64 x 4))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 1/2)
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) (*.f64 4 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x)) 8)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (*.f64 2 (*.f64 4 (neg.f64 x))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))) (*.f64 2 (*.f64 4 (neg.f64 x))))
(/.f64 (*.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x -1/2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1)
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 4)) 1/4)
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x -1/2)) -2)
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (neg.f64 x)) -1/2)
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 2) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2) (*.f64 4 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (/.f64 x -1/2)) -1)
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x -1/2))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/2) (/.f64 x -1/2))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x)) -1/2)
(/.f64 (neg.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (*.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (-.f64 0 (*.f64 4 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (*.f64 x -1/2))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) (*.f64 x 8))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))) (*.f64 4 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))) (-.f64 0 (*.f64 4 (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 4))) (-.f64 0 (/.f64 x 4)))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (+.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))) (*.f64 x 1/2))
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 2)) x)
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2)) (*.f64 x 4))
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2)) (-.f64 0 (*.f64 4 (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (*.f64 x 1/2))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/2)) (+.f64 x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (neg.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (/.f64 x -1/2)))
Outputs
x
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 1/360 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 x (*.f64 1/360 (pow.f64 x 5))))
(+.f64 (*.f64 -1/20160 (pow.f64 x 7)) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 1/360 (pow.f64 x 5)) x)))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (+.f64 x (*.f64 1/360 (pow.f64 x 5))) (*.f64 -1/20160 (pow.f64 x 7))))
(+.f64 x (+.f64 (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/360 (pow.f64 x 5))) (*.f64 -1/20160 (pow.f64 x 7))))
(+.f64 x (+.f64 (*.f64 -1/20160 (pow.f64 x 7)) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/360 (pow.f64 x 5)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 0)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 0 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(-.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 0)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(-.f64 0 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 1 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 1/2))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 2 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 2 (*.f64 2 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 4 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 4 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 -1 (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 8 (*.f64 2 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) 2)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) x)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) 1/4)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x -1/2))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 -2 (-.f64 0 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 -4 (neg.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)) 4)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (+.f64 x x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) -1)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) 8)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 x 4))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1/4) 4)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) 16)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1/4)) 8)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2) x)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1/2)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) 1/2) (+.f64 x x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)) -1)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/2) (*.f64 x 4))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (neg.f64 x)) -2)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) (neg.f64 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 x -1/2))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2)) (-.f64 0 (/.f64 x 4)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (*.f64 4 (neg.f64 x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/2)) (*.f64 4 (neg.f64 x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (+.f64 x x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1/2)) (neg.f64 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) 1/2)) (/.f64 x -1/2))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2))) x)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) 1)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (+.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 x (/.f64 1/2 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (*.f64 x 4)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 x (/.f64 1/4 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (*.f64 x 8)) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1/2 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (*.f64 2 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 8 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 2)
(*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 2 x) x) 2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (*.f64 x (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (/.f64 (*.f64 x (*.f64 x 1/2)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (/.f64 x (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -1/2 (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -2 (-.f64 0 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 -1/2 x) (-.f64 0 (/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 -1/2 x) (-.f64 0 (/.f64 x (*.f64 (+.f64 (cos.f64 x) -1) -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 -2 x) (neg.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) (/.f64 x -1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))) (*.f64 4 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) (*.f64 2 (*.f64 x 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 4)) (/.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) (*.f64 4 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (*.f64 2 (*.f64 4 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4))) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))) (*.f64 2 (*.f64 4 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x -1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 4)) 1/4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x -1/2)) -2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (neg.f64 x)) -1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 2) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2) (*.f64 4 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (/.f64 x -1/2)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x -1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/2) (/.f64 x -1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x)) -1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2))) (neg.f64 (*.f64 x 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))) (-.f64 0 (*.f64 4 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (*.f64 x -1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 4 x) (*.f64 (+.f64 (cos.f64 x) -1) -2)))) (*.f64 x 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))) (*.f64 4 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))))) (-.f64 0 (*.f64 4 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 4))) (-.f64 0 (/.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 2)) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2)) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) 1/2)) (-.f64 0 (*.f64 4 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/2)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (/.f64 x -1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.6b
(-.f64 1 (cos.f64 x))
✓4.0b
(*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x))))
✓12.4b
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))
Compiler

Compiled 81 to 51 computations (37% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))
0.0ms
x
@-inf
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))
0.0ms
x
@-inf
(*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x))))
0.0ms
x
@0
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))
0.0ms
x
@inf
(*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x))))

rewrite73.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1294×rational.json-1
1294×rational.json-2
1294×rational.json-3
1292×exponential.json-3
1292×rational.json-4
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01488
111288
232770
3124664
4424764
Stop Event
1×node limit
Counts
2 → 92
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 2 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 (/.f64 2 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 x) x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 2 x) x) x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1/2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 2 x) x) 1/2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 1/2 x)) (*.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (*.f64 (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (*.f64 2 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (*.f64 x x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 2 (/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 2 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x x) (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) x))))))

simplify104.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1222×rational.json-simplify-49
1142×rational.json-simplify-53
1006×rational.json-simplify-46
846×rational.json-simplify-43
770×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02203626
16913626
221973626
350693626
Stop Event
1×node limit
Counts
116 → 118
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (*.f64 -1/12 x) (+.f64 (/.f64 1 x) (*.f64 1/360 (pow.f64 x 3))))
(+.f64 (*.f64 -1/12 x) (+.f64 (/.f64 1 x) (+.f64 (*.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/20160 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 0)
(+.f64 0 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 0)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 2 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)))
(*.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 2 x) x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (*.f64 x x)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 (/.f64 2 x) x) 1/2))
(*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 1)
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 1/2 x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (/.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 2 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))
(*.f64 (/.f64 2 x) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1/2))
(*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))))
(*.f64 4 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 2)
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (/.f64 (/.f64 2 x) x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 2 x))
(*.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))) 4)
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 x))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (/.f64 2 x))
(*.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1/2) (/.f64 2 x))
(*.f64 (*.f64 (/.f64 (/.f64 2 x) x) 1/2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) 2)
(*.f64 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 1/2 x)) (*.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) 4)
(pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 1)
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 -2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) x))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))) x))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 0)
(+.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 0)
(/.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 x (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 x (neg.f64 (*.f64 (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x 1/2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 1/2))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) (/.f64 1 x))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 x x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (+.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 x) (*.f64 2 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(/.f64 -1 (/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (*.f64 x x)))
(/.f64 4 (*.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (*.f64 x x)) (/.f64 2 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (*.f64 x 4))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x 4)) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1)
(/.f64 (/.f64 -1 x) (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(/.f64 -2 (*.f64 2 (/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)))
(/.f64 -2 (neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 x))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 x (/.f64 -1 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 2 x) 4)) 4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 1/2)) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (*.f64 x -2))
(/.f64 (/.f64 x x) (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 8) 8)
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x))) (/.f64 -1 x))
(/.f64 (/.f64 1 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) x)
(/.f64 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)) -1)
(/.f64 (/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) x) -1)
(/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 1 (/.f64 -1 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 1 x)) 1/2)
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1)
(neg.f64 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) x))
Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x -1/12))
(+.f64 (*.f64 -1/12 x) (+.f64 (/.f64 1 x) (*.f64 1/360 (pow.f64 x 3))))
(+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) (*.f64 1/360 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) (*.f64 1/360 (pow.f64 x 3))))
(+.f64 (*.f64 -1/12 x) (+.f64 (/.f64 1 x) (+.f64 (*.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (*.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5))) (*.f64 x -1/12)))
(+.f64 (+.f64 (*.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 x -1/12)))
(+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) (+.f64 (*.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5)))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/20160 (pow.f64 x 5)) (+.f64 (*.f64 x -1/12) (*.f64 1/360 (pow.f64 x 3)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3)))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/20160 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))) (*.f64 -1/20160 (pow.f64 x 6))))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 1/360 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 6)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 0)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(+.f64 0 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(-.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 0)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 2 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 2 x) x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 (/.f64 2 x) x) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (/.f64 1/2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 (*.f64 x x))))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 2 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 2 x) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 4 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 (/.f64 (/.f64 2 x) x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 2 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 (*.f64 x x))))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))) 4)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (/.f64 2 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1/2) (/.f64 2 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (/.f64 (/.f64 2 x) x) 1/2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 1/2 x)) (*.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) 4)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(neg.f64 (/.f64 (/.f64 -2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 1 (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 x (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 x (neg.f64 (*.f64 (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x 1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) (/.f64 1 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 x x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (+.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 2 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 2 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 -1 (/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 4 (*.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (*.f64 x x)) (/.f64 2 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (*.f64 x 4))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x 4)) 2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 -1 x) (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 -2 (*.f64 2 (/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 -2 (neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (neg.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 x (/.f64 -1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 2 x) 4)) 4)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 1/2)) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (*.f64 x 1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (*.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 x x) (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 8) 8)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x))) (/.f64 -1 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 1 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)) -1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) x) -1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 1 (/.f64 -1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 1 x)) 1/2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))

eval238.0ms (1.8%)

Compiler

Compiled 13867 to 9709 computations (30% saved)

prune172.0ms (1.3%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New86414878
Fresh224
Picked011
Done145
Total86721888
Error
0.1b
Counts
888 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
24.8b
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
▶24.4b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
25.2b
(/.f64 (/.f64 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
▶24.4b
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
▶24.4b
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
25.1b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
✓25.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
24.7b
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
✓38.2b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
✓24.4b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
✓24.5b
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
▶37.1b
(*.f64 (/.f64 1/2 x) x)
28.7b
(*.f64 1/2 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) (/.f64 1 x)))
▶29.0b
(*.f64 1/2 (/.f64 x (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))
28.7b
(*.f64 1/2 (*.f64 x (/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x)) x)))
✓28.7b
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))))
30.1b
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (*.f64 1/2 x)) (/.f64 x (/.f64 1 x)))))
38.3b
(*.f64 1/2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
28.7b
(*.f64 1/2 (*.f64 x (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))) 4)))
28.9b
(*.f64 1/2 (*.f64 x (*.f64 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 1/2 x)) (*.f64 2 (-.f64 1 (cos.f64 x))))))
37.0b
1/2
Compiler

Compiled 510 to 373 computations (26.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
✓0.1b
(/.f64 x (-.f64 1 (cos.f64 x)))
✓0.2b
(/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 39 to 24 computations (38.5% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 x (-.f64 1 (cos.f64 x)))
0.0ms
x
@-inf
(/.f64 x (-.f64 1 (cos.f64 x)))
0.0ms
x
@-inf
(/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))
0.0ms
x
@inf
(/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))
0.0ms
x
@0
(/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))

rewrite80.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01275
110669
237163
3153863
4459363
Stop Event
1×node limit
Counts
3 → 90
Calls
Call 1
Inputs
(/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -1 (*.f64 x 1/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 1/4)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x 1/8)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (*.f64 x 1/8) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 x) (*.f64 1/8 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/8) (-.f64 1 (cos.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (/.f64 x (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/8 x) (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (*.f64 1/8 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x 1/4)) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (/.f64 1 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (*.f64 (/.f64 1 (*.f64 x 16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (*.f64 1/2 (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 8 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 (/.f64 x (/.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -1 (*.f64 x 1/8)) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/8 x)) (/.f64 8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (/.f64 8 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (/.f64 1 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 16)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (/.f64 -1 x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))))

simplify93.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
2120×rational.json-simplify-35
1122×rational.json-simplify-2
1030×rational.json-simplify-53
968×rational.json-simplify-41
710×rational.json-simplify-43
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02213032
14582996
29472948
324442930
444972864
Stop Event
1×node limit
Counts
118 → 141
Calls
Call 1
Inputs
(*.f64 4 x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (*.f64 4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 4 x))))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 2 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 0)
(-.f64 0 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x 1/4)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x 1/4)) 1))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 8 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) 1/2)
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x 1/8)))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -1 (*.f64 x 1/8)) 1))
(*.f64 (/.f64 8 x) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))) -1)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))))
(*.f64 (/.f64 1 (*.f64 x 1/4)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 -1 (*.f64 x 1/8)) (+.f64 (cos.f64 x) -1))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 1)
(neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))
(+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))
(-.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(-.f64 0 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(-.f64 0 (/.f64 x (+.f64 (cos.f64 x) -1)))
(*.f64 8 (/.f64 (*.f64 x 1/8) (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(*.f64 (*.f64 8 x) (*.f64 1/8 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(*.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) 1/2)
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1))
(*.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))
(*.f64 -1 (*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) 1))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)
(*.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(*.f64 (/.f64 (*.f64 x 1/8) (-.f64 1 (cos.f64 x))) 8)
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)
(*.f64 1/2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 x x))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(neg.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 x (/.f64 1 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 x x)) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (/.f64 x (/.f64 1 x))) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/8 x) (/.f64 8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (/.f64 1/8 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (*.f64 1/8 (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))) 1))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x 1/4)) (/.f64 1/8 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (/.f64 1 (*.f64 x 16)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (*.f64 (/.f64 1 (*.f64 x 16)) 1))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (*.f64 1/2 (/.f64 1/8 x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (*.f64 (/.f64 8 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/8)
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 x (/.f64 -1 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 (/.f64 x (/.f64 -1 x))) 1))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -1 (*.f64 x 1/8)) (/.f64 1/8 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/8 x)) (/.f64 8 x))
(*.f64 (/.f64 8 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/8 x)))
(*.f64 (/.f64 8 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 1/8 (*.f64 (/.f64 8 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1/8 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (/.f64 1 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x 16)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))))
(*.f64 (/.f64 1 (/.f64 x (/.f64 -1 x))) (+.f64 (cos.f64 x) -1))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
Outputs
(*.f64 4 x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 4 x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (*.f64 4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 4 x) (*.f64 1/90 (pow.f64 x 5))))
(+.f64 (*.f64 4 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 1/90 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 4 x))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (+.f64 (*.f64 4 x) (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 4 x) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/90 (pow.f64 x 5)))))
(+.f64 (*.f64 4 x) (+.f64 (+.f64 (*.f64 1/90 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 4 x) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 8 (/.f64 (-.f64 1 (cos.f64 x)) 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 x 1/6) (/.f64 2 x))
(+.f64 (*.f64 1/120 (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) 1/120)))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/120) (*.f64 x 1/6)))
(+.f64 (*.f64 x 1/6) (+.f64 (*.f64 (pow.f64 x 3) 1/120) (/.f64 2 x)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5)))))
(+.f64 (*.f64 x 1/6) (+.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 5) 1/3024)) (*.f64 (pow.f64 x 3) 1/120)))
(+.f64 (*.f64 x 1/6) (+.f64 (*.f64 (pow.f64 x 3) 1/120) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 5) 1/3024))))
(+.f64 (*.f64 x 1/6) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 x 5) 1/3024) (*.f64 (pow.f64 x 3) 1/120))))
(+.f64 (*.f64 x 1/6) (+.f64 (*.f64 (pow.f64 x 5) 1/3024) (+.f64 (*.f64 (pow.f64 x 3) 1/120) (/.f64 2 x))))
(+.f64 (*.f64 x 1/6) (+.f64 (/.f64 2 x) (+.f64 (*.f64 (pow.f64 x 3) 1/120) (*.f64 (pow.f64 x 5) 1/3024))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(-.f64 0 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x 1/4)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 4 x)))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x 1/4)) 1))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x 1/4)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 4 x)))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) 1/2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x 1/8)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -1 (*.f64 x 1/8)) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (/.f64 8 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))) -1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(*.f64 (/.f64 1 (*.f64 x 1/4)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x 1/4)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 4 x)))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 -1 (*.f64 x 1/8)) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x))
(+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(/.f64 x (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(/.f64 x (-.f64 1 (cos.f64 x)))
(-.f64 0 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(-.f64 0 (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 8 (/.f64 (*.f64 x 1/8) (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 8 x) (*.f64 1/8 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) 1/2)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) 1))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 -1 (*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) 1))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 x 1/8) (-.f64 1 (cos.f64 x))) 8)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 1/2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (+.f64 x x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(neg.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 x (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 x x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (/.f64 x (/.f64 1 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/8 x) (/.f64 8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (/.f64 1/8 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (*.f64 1/8 (/.f64 1 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (*.f64 (/.f64 1 x) 1/8))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 8 x) 1/8))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/8 (/.f64 (/.f64 8 x) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1 (*.f64 x (/.f64 x 1/2)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (/.f64 1/2 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1 (*.f64 x (/.f64 x 1/2)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (/.f64 1/2 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x 1/4)) (/.f64 1/8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1 (*.f64 x (/.f64 x 1/2)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (/.f64 1/2 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (/.f64 1 (*.f64 x 16)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 2 (/.f64 8 x)) (/.f64 1 (*.f64 x 16))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 2 (/.f64 8 x)) (/.f64 1/16 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (/.f64 8 x) (/.f64 1/16 x))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x)) (*.f64 2 (/.f64 1/16 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (*.f64 (/.f64 1 (*.f64 x 16)) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 2 (/.f64 8 x)) (/.f64 1 (*.f64 x 16))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 2 (/.f64 8 x)) (/.f64 1/16 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (/.f64 8 x) (/.f64 1/16 x))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x)) (*.f64 2 (/.f64 1/16 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))) (*.f64 1/2 (/.f64 1/8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 8 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) 1/8)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (*.f64 (/.f64 1 x) 1/8))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 8 x) 1/8))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/8 (/.f64 (/.f64 8 x) x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 x (/.f64 -1 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 (/.f64 x (/.f64 -1 x))) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -1 (*.f64 x 1/8)) (/.f64 1/8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/8 x)) (/.f64 8 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 8 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 8 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (*.f64 (/.f64 1 x) 1/8))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 8 x) 1/8))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/8 (/.f64 (/.f64 8 x) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1/8 (*.f64 (/.f64 8 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (*.f64 (/.f64 1 x) 1/8))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 8 x) 1/8))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/8 (/.f64 (/.f64 8 x) x)))
(*.f64 (/.f64 1/8 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (/.f64 1 x))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (/.f64 2 (/.f64 1 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1 (*.f64 x (/.f64 x 1/2)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (/.f64 1/2 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (/.f64 2 (*.f64 x (/.f64 2 (/.f64 1 x)))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x 16)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 2 (/.f64 8 x)) (/.f64 1 (*.f64 x 16))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 2 (/.f64 8 x)) (/.f64 1/16 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (/.f64 8 x) (/.f64 1/16 x))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -8 x)) (*.f64 2 (/.f64 1/16 x)))
(*.f64 (/.f64 1 (/.f64 x (/.f64 -1 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 1/2 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite74.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1230×rational.json-1
1230×rational.json-2
1230×rational.json-3
1228×rational.json-4
1222×exponential.json-3
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0613
14213
210813
329713
48741
528421
655581
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1/2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 23 to 12 computations (47.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite80.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1356×rational.json-1
1356×rational.json-2
1356×rational.json-4
1356×rational.json-3
1338×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
17423
221123
358123
4199823
5498323
Stop Event
1×node limit
Counts
1 → 54
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))))

simplify113.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1118×rational.json-simplify-50
998×rational.json-simplify-1
750×rational.json-simplify-2
746×rational.json-simplify-55
684×rational.json-simplify-41
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01191826
12241802
24571802
38941802
424841802
545711802
666651802
Stop Event
1×node limit
Counts
66 → 84
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(+.f64 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) -1)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 x) 1/2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) 2)
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)) 2)
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 2)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))) 2)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 1/2 (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(*.f64 (/.f64 2 x) (*.f64 (*.f64 1/2 (/.f64 1 x)) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (*.f64 (*.f64 (/.f64 1 x) (/.f64 2 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 2 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 1 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 2 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (/.f64 1/2 x)))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 x x)))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(*.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (*.f64 x 4)))
(*.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/4 x) x))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/4 x) x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 (/.f64 1 x) 4)))
(*.f64 4 (*.f64 (/.f64 1/4 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/4 x)))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/4 x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(*.f64 (/.f64 2 x) (*.f64 (*.f64 1/2 (/.f64 1 x)) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (*.f64 (*.f64 (/.f64 1 x) (/.f64 2 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 2 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 1 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 2 x))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 (/.f64 1 x) 4)))
(*.f64 4 (*.f64 (/.f64 1/4 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/4 x)))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/4 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 2)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (*.f64 x 4)))
(*.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/4 x) x))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/4 x) x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 2)
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (/.f64 1/2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))) 2)
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 x x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) x)
✓0.2b
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1976×rational.json-simplify-35
1142×rational.json-simplify-2
1124×exponential.json-3
1124×rational.json-1
1124×rational.json-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01146
19640
231640
3105540
4346440
Stop Event
1×node limit
Counts
2 → 115
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 x) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 1 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))))

simplify100.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1246×rational.json-simplify-44
1222×rational.json-simplify-47
1156×rational.json-simplify-53
1114×rational.json-simplify-35
1048×rational.json-simplify-61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02343795
14873661
212903461
358603443
Stop Event
1×node limit
Counts
139 → 162
Calls
Call 1
Inputs
(/.f64 2 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))
(+.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(-.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(-.f64 0 (/.f64 x (+.f64 (cos.f64 x) -1)))
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 2 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) 1/4)
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))
(*.f64 1/2 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (*.f64 x 1/2) (/.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))
(*.f64 1/4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 1/2 x))
(*.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) 2)
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))
(*.f64 2 (/.f64 (/.f64 1 x) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1/2 x))))
(*.f64 2 (/.f64 x (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(*.f64 (/.f64 2 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 -1 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 1 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 4 x) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 -1 x) (/.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 (/.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (/.f64 1 x) x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2) (/.f64 2 x))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) 2)
(*.f64 (/.f64 (/.f64 1 x) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 2)
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))
(*.f64 (/.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1/2 x))) 2)
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) (+.f64 x x))
(*.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) 2)
(*.f64 (/.f64 2 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) x)
(*.f64 (/.f64 1 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)) (/.f64 4 x))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))) -1)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
Outputs
(/.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 2 x) (*.f64 x 1/6))
(+.f64 (*.f64 1/120 (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 1/120 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3))))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5)))))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5)))))
(+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5)))))
(+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/3024 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/120 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (*.f64 1/3024 (pow.f64 x 5)) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 x (-.f64 1 (cos.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2)))))
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(/.f64 x (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))
(-.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(/.f64 x (-.f64 1 (cos.f64 x)))
(-.f64 0 (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (*.f64 x (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 2 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(+.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (/.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))
(*.f64 (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) 1/4)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 x (*.f64 4 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(*.f64 4 (*.f64 x (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 4 (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 1/2 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))
(+.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)
(+.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 1/4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 1 x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (*.f64 x (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 1/2 x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) (/.f64 2 x))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) 2)
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 2 x) (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (/.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))
(*.f64 x (*.f64 4 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))
(*.f64 4 (*.f64 x (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 4 (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 1 x) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 x (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (/.f64 2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 2 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (/.f64 2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 1 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 4 x) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4 (/.f64 (/.f64 1/4 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4 (/.f64 1/4 (*.f64 x x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (/.f64 1 (*.f64 x 4)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (/.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (/.f64 2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 2 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (*.f64 x x))))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (/.f64 1 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2) (/.f64 2 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (/.f64 2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 2 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 2 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1/2 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 2 (*.f64 x (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)) (/.f64 4 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4 (/.f64 (/.f64 1/4 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4 (/.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (+.f64 (cos.f64 x) -1))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.6b
(-.f64 1 (cos.f64 x))
✓4.7b
(/.f64 x (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
Compiler

Compiled 77 to 46 computations (40.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite69.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1732×rational.json-simplify-35
1084×rational.json-simplify-2
998×rational.json-1
998×rational.json-2
998×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01370
110370
229958
3120958
4365558
Stop Event
1×node limit
Counts
2 → 143
Calls
Call 1
Inputs
(/.f64 x (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 -1 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) (*.f64 (/.f64 2 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) (*.f64 (/.f64 1 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (/.f64 4 x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 2 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))) (*.f64 (/.f64 -1 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (neg.f64 x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x))) (*.f64 (/.f64 4 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/2) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) -2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) -2)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1/2 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))) (*.f64 (/.f64 -1 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x -2)))))))

simplify144.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
946×rational.json-simplify-55
884×rational.json-simplify-35
794×rational.json-simplify-47
786×rational.json-simplify-44
750×rational.json-simplify-53
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02955411
17275335
219565311
348925251
476025245
Stop Event
1×node limit
Counts
167 → 227
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/20160 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
1
(+.f64 1 (*.f64 1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 (*.f64 1/6048 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))))
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 0)
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(-.f64 0 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 0)
(*.f64 x (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(*.f64 2 (*.f64 x (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))))
(*.f64 2 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (*.f64 x 1/2)))
(*.f64 2 (*.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (*.f64 x -1/2)))
(*.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))
(*.f64 (+.f64 x x) (*.f64 1/2 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x) (*.f64 x 1/2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (/.f64 1/2 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 x 1/2)))
(*.f64 (neg.f64 x) (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))
(*.f64 (neg.f64 x) (*.f64 -1 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))
(*.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x -1/2))))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(*.f64 4 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(*.f64 (*.f64 x 4) (/.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) 4)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (/.f64 1 (*.f64 x 4)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 (*.f64 x (*.f64 x 4))))
(*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -2 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x (neg.f64 x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 1)
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) (*.f64 (/.f64 2 x) (*.f64 x 1/2)))
(*.f64 -2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (*.f64 x -1/2)))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) 1/2)
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) (*.f64 (/.f64 1 x) (*.f64 x 1/2)))
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))) -1)
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2)
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (+.f64 x x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 4)
(*.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (neg.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (/.f64 4 x))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (/.f64 4 x)) (*.f64 x 1/2))
(*.f64 (/.f64 4 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 4 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(*.f64 (/.f64 4 x) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (*.f64 x 1/2)))
(*.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 2 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) 4)
(*.f64 (*.f64 1/2 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (+.f64 x x))
(*.f64 (*.f64 -1 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (neg.f64 x))
(*.f64 (*.f64 2 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))) (*.f64 (/.f64 -1 x) (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 4 x))
(*.f64 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) 2)
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))
(*.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 1/2)
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)
(*.f64 (/.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) 4)) (*.f64 x 4))
(*.f64 (/.f64 2 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 -2 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 2 (*.f64 x (neg.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x -1/2))) -1)
(*.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))) x)
(*.f64 (+.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))) (*.f64 x -1/2))
(*.f64 (+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x))) (*.f64 (/.f64 4 x) (*.f64 x 1/2)))
(pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x -1/2)))
(+.f64 0 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))))
(+.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)))
(-.f64 0 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))
(-.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(*.f64 2 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)))
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))
(*.f64 2 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x 4)))
(*.f64 2 (*.f64 (/.f64 1/2 x) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 1 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) (/.f64 1 x))
(*.f64 (+.f64 x x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4))
(*.f64 (+.f64 x x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)))
(*.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) x) (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 1/2 x))
(*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 -1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))
(*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1/2)
(*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (*.f64 x 1/2)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 x -1/2) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) -2) (/.f64 -1 x))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))
(*.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 1/2 (*.f64 x 1/2)))
(*.f64 -2 (*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) -2)) (*.f64 x 1/2)))
(*.f64 -2 (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (*.f64 x -1/2)))
(*.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 1/4)
(*.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1/2 x) (*.f64 x 1/2)))
(*.f64 (/.f64 2 x) (*.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) -1)
(*.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (neg.f64 x))
(*.f64 1/4 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)) 2)
(*.f64 (/.f64 -1 x) (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) -2))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2)))
(*.f64 (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(*.f64 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))) (*.f64 (/.f64 -1 x) (*.f64 x 1/2)))
(*.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)) (+.f64 x x))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) 2)
(*.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x 4)) 2)
(*.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)) (*.f64 x -1/2))
(*.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 x 4))
(*.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))) (*.f64 x -1/2))
(*.f64 (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)))
(pow.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))
(neg.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x -2)))
Outputs
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 1 (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/20160 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))) (*.f64 -1/20160 (pow.f64 x 6))))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 1/360 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 6)))))
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 1/360 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 6)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
1
(+.f64 1 (*.f64 1/12 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) 1/12))
(+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/12) (*.f64 (pow.f64 x 4) 1/240)))
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/12)) (*.f64 (pow.f64 x 4) 1/240))
(+.f64 (*.f64 1/6048 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/12) (*.f64 (pow.f64 x 4) 1/240)) (*.f64 (pow.f64 x 6) 1/6048)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/240) (+.f64 (*.f64 (pow.f64 x 2) 1/12) (*.f64 (pow.f64 x 6) 1/6048))))
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/12)) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (pow.f64 x 6) 1/6048)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 0)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 0)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (*.f64 x (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (*.f64 x 1/2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (*.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (*.f64 x -1/2)))
(*.f64 (/.f64 -2 (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 (*.f64 x -1/2) 2))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)) (*.f64 x x)) (*.f64 2 (*.f64 x -1/2)))
(*.f64 (*.f64 x -1/2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x -1/2) (*.f64 x x))) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x -1/2) (*.f64 x x))) (*.f64 2 (*.f64 x -1/2)))
(*.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 x x) (*.f64 1/2 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 x x) (*.f64 (/.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x) (*.f64 x 1/2)))
(*.f64 (+.f64 x x) (*.f64 x (*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 2 x) x)))))
(*.f64 (*.f64 x 1) (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 2 (*.f64 x x))) x))
(*.f64 1 (*.f64 (*.f64 x x) (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 2 x) x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (/.f64 1/2 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 4 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (*.f64 1/2 (/.f64 1 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 x 1/2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 (*.f64 x 1/2) (/.f64 (/.f64 1 x) x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (*.f64 x (*.f64 1/2 (/.f64 (/.f64 1 x) x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (*.f64 x (*.f64 1/2 (/.f64 1 (*.f64 x x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (*.f64 1/2 (/.f64 (/.f64 x x) x))))
(*.f64 (neg.f64 x) (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 x) (*.f64 -1 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x -1/2))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 4 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (*.f64 x 4) (/.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) 4)))
(*.f64 x (*.f64 4 (/.f64 2 (*.f64 4 (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))))
(*.f64 x (*.f64 4 (/.f64 1/2 (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))
(*.f64 4 (*.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x)))) x))
(*.f64 4 (*.f64 (/.f64 1/2 (*.f64 x (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 8 (/.f64 (/.f64 1 x) 4)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 8 (/.f64 1/4 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 (*.f64 x (*.f64 x 4))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4 (/.f64 2 (*.f64 x (*.f64 x 4)))))
(*.f64 4 (*.f64 (/.f64 (/.f64 2 x) (*.f64 x 4)) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 4 x) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1/2 (/.f64 4 x)))
(*.f64 4 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (*.f64 x x))))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 4 x) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1/2 (/.f64 4 x)))
(*.f64 4 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (*.f64 x x))))
(*.f64 (/.f64 1 x) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)) (/.f64 -1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -2 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) (*.f64 (/.f64 2 x) (*.f64 x 1/2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (*.f64 x -1/2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) 1/2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 4 x) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1/2 (/.f64 4 x)))
(*.f64 4 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) (*.f64 (/.f64 1 x) (*.f64 x 1/2)))
(*.f64 (/.f64 1 x) (*.f64 (*.f64 x 1/2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x))))
(*.f64 x (*.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 4 x) (*.f64 x (*.f64 1/2 (/.f64 1 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 4 x) (*.f64 x (/.f64 1/2 x))))
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (+.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) 4)
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (/.f64 4 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (/.f64 4 x)) (*.f64 x 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 4 x) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1/2 (/.f64 4 x)))
(*.f64 4 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (*.f64 x x))))
(*.f64 (/.f64 4 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (/.f64 4 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (/.f64 4 x) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (*.f64 x 1/2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 4 x) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1/2 (/.f64 4 x)))
(*.f64 4 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (*.f64 x x))))
(*.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 4 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (*.f64 1/2 (/.f64 1 x))))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 2 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) 4)
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (*.f64 1/2 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (+.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 -1 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) (neg.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 2 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))) (*.f64 (/.f64 -1 x) (*.f64 x 1/2)))
(*.f64 (/.f64 -1 x) (*.f64 (*.f64 x 1/2) (*.f64 2 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) -2) (*.f64 (*.f64 x 1/2) (/.f64 -1 x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -2 x)) (*.f64 2 (*.f64 1/2 (/.f64 x (neg.f64 x)))))
(*.f64 1 (*.f64 (neg.f64 (/.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -2 x))))
(*.f64 (neg.f64 (/.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -2 x)))
(*.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 4 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 4 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 4 (/.f64 1/2 x)))
(*.f64 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 8 (/.f64 (/.f64 1 x) 4)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 8 (/.f64 1/4 x)))
(*.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 1/2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 4 x) 1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1/2 (/.f64 4 x)))
(*.f64 4 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (*.f64 x x))))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) 4)) (*.f64 x 4))
(*.f64 x (*.f64 4 (/.f64 2 (*.f64 4 (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))))
(*.f64 x (*.f64 4 (/.f64 1/2 (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))
(*.f64 4 (*.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x)))) x))
(*.f64 4 (*.f64 (/.f64 1/2 (*.f64 x (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) x))
(*.f64 (/.f64 2 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4 (/.f64 2 (*.f64 x (*.f64 x 4)))))
(*.f64 4 (*.f64 (/.f64 (/.f64 2 x) (*.f64 x 4)) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 x x))))
(*.f64 (/.f64 -2 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -2 x))
(*.f64 (/.f64 2 (*.f64 x (neg.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x -1/2))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))) (/.f64 -2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))) (*.f64 x -1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x))) (*.f64 (/.f64 4 x) (*.f64 x 1/2)))
(*.f64 (+.f64 (/.f64 4 x) (/.f64 4 x)) (*.f64 (*.f64 x 1/2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x))))
(*.f64 (*.f64 x 1) (*.f64 (/.f64 4 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x))))
(*.f64 1 (*.f64 (*.f64 (/.f64 4 x) x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x))))
(*.f64 (/.f64 4 x) (*.f64 x (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x))))
(pow.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x -1/2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 0 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 0 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))
(*.f64 2 (/.f64 x (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (*.f64 (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 2 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x 4)))
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))
(*.f64 2 (/.f64 x (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (*.f64 (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 2 (*.f64 (/.f64 1/2 x) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))
(*.f64 2 (/.f64 x (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (*.f64 (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 1 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) (/.f64 1 x))
(*.f64 x (*.f64 (*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 x)))
(*.f64 x (*.f64 (/.f64 1 x) (*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(*.f64 x (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))
(*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 1/2 x))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) x) (*.f64 x 1/2)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 1/2 x))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1/2)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (*.f64 x 1/2)))
(*.f64 x (*.f64 (*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 x)))
(*.f64 x (*.f64 (/.f64 1 x) (*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(*.f64 x (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))
(*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 1/2 x))))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)))
(*.f64 (*.f64 x 4) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8))
(*.f64 (*.f64 x 4) (/.f64 (/.f64 x 8) (-.f64 1 (cos.f64 x))))
(*.f64 x (*.f64 4 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 1/8))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) x)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))
(*.f64 x (*.f64 (*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 x)))
(*.f64 x (*.f64 (/.f64 1 x) (*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(*.f64 x (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))
(*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 1/2 x))))
(*.f64 (*.f64 x -1/2) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 x (*.f64 -1/2 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) -2) (/.f64 -1 x))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 1/2 (*.f64 x 1/2)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -2 (*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) -2)) (*.f64 x 1/2)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -2 (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (*.f64 x -1/2)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 1/4)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1/2 x) (*.f64 x 1/2)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 2 x) (*.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 2 x) (*.f64 x (*.f64 (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))))
(*.f64 (/.f64 2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/4))))
(*.f64 (/.f64 2 x) (*.f64 x (*.f64 1/4 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 x (*.f64 (*.f64 1/4 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 2 x)))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) -1)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4) (+.f64 x x))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (neg.f64 x))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 1/4 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/4)) 2)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) -2))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))) (*.f64 (/.f64 -1 x) (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 x 1/2) (/.f64 -1 x)) (*.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (*.f64 2 (*.f64 (*.f64 x 1/2) (/.f64 -1 x))))
(*.f64 2 (*.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (+.f64 (cos.f64 x) -1))) (*.f64 1/2 (/.f64 x (neg.f64 x)))))
(*.f64 (*.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) x) (/.f64 x (*.f64 x -2)))
(*.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 4)) (+.f64 x x))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) 2)
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))
(*.f64 2 (/.f64 x (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (*.f64 (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x 4)) 2)
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))))
(*.f64 2 (/.f64 x (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (*.f64 (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)) (*.f64 x -1/2))
(*.f64 (*.f64 x -1/2) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 x (*.f64 -1/2 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)) (*.f64 x 4))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 8)))
(*.f64 (*.f64 x 4) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8))
(*.f64 (*.f64 x 4) (/.f64 (/.f64 x 8) (-.f64 1 (cos.f64 x))))
(*.f64 x (*.f64 4 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 1/8))))
(*.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))) (*.f64 x -1/2))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(pow.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x)) (*.f64 x -2)))
(*.f64 x (*.f64 1/2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 x (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))

eval233.0ms (1.8%)

Compiler

Compiled 14321 to 9866 computations (31.1% saved)

prune159.0ms (1.2%)

Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New8757882
Fresh4711
Picked011
Done189
Total88023903
Error
0.1b
Counts
903 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
✓24.4b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
25.2b
(/.f64 (/.f64 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
✓24.4b
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
▶37.1b
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
15.4b
(/.f64 (/.f64 8 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (*.f64 x 8))
▶15.3b
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
24.4b
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x))
25.1b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
✓25.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶24.7b
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
✓38.2b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
✓24.4b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
✓24.5b
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
✓37.1b
(*.f64 (/.f64 1/2 x) x)
28.7b
(*.f64 1/2 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) (/.f64 1 x)))
✓29.0b
(*.f64 1/2 (/.f64 x (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))
▶29.4b
(*.f64 1/2 (/.f64 x (*.f64 x (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2))))))
24.5b
(*.f64 1/2 (*.f64 (/.f64 4 x) (*.f64 x (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))))
▶28.3b
(*.f64 1/2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x))
✓28.7b
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))))
30.1b
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (*.f64 1/2 x)) (/.f64 x (/.f64 1 x)))))
28.7b
(*.f64 1/2 (*.f64 x (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))) 4)))
37.0b
1/2
Compiler

Compiled 521 to 383 computations (26.5% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 2 x) (*.f64 x 1/6))
✓0.1b
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
✓0.3b
(*.f64 x 1/6)
Compiler

Compiled 32 to 23 computations (28.1% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
0.0ms
x
@-inf
(*.f64 x 1/6)
0.0ms
x
@-inf
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
0.0ms
x
@0
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
0.0ms
x
@0
(*.f64 x 1/6)

rewrite82.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1576×rational.json-1
1576×rational.json-2
1576×rational.json-4
1576×rational.json-3
1558×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01157
19257
224557
368257
4222557
5578757
Stop Event
1×node limit
Counts
3 → 84
Calls
Call 1
Inputs
(*.f64 x 1/6)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(+.f64 (/.f64 2 x) (*.f64 x 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (+.f64 x x)) (/.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (/.f64 1 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/6 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 1 x) (/.f64 (*.f64 x 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (/.f64 (/.f64 1 x) x) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 4 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))))

simplify131.0ms (1%)

Algorithm
1×egg-herbie
Rules
1004×rational.json-simplify-2
1004×rational.json-simplify-1
900×rational.json-simplify-35
740×rational.json-simplify-39
652×rational.json-simplify-51
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01913192
14153180
211093180
330373180
451173150
574343138
Stop Event
1×node limit
Counts
120 → 124
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 x 1/6) 0)
(+.f64 0 (*.f64 x 1/6))
(-.f64 (*.f64 x 1/6) 0)
(/.f64 (*.f64 x 1/6) 1)
(/.f64 (*.f64 x 1/3) 2)
(/.f64 (*.f64 x 2/3) 4)
(/.f64 (*.f64 2 (*.f64 x 2/3)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16)
(pow.f64 (*.f64 x 1/6) 1)
(+.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(+.f64 0 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(+.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (+.f64 x x)) (/.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (+.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(*.f64 x (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))
(*.f64 1 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 2 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))
(*.f64 2 (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 2))
(*.f64 2 (*.f64 (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 1 x)))
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 (/.f64 2 x) (*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1)
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2)
(*.f64 (/.f64 4 x) (/.f64 1 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))))
(*.f64 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 1 (+.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 -1 x))
(*.f64 -1 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 -1 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(*.f64 (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 (/.f64 1 x) x))
(*.f64 1/2 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2) (/.f64 2 x))
(*.f64 (/.f64 1 (+.f64 x x)) (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(*.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x) -1)
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 2)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) (+.f64 x x))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 2) 2)
(*.f64 (/.f64 1 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) (/.f64 4 x))
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1)
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(-.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 0)
(-.f64 0 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 x (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(*.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))
(*.f64 2 (*.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1/2))
(*.f64 2 (+.f64 (/.f64 1 x) (/.f64 (*.f64 x 1/6) 2)))
(*.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)
(*.f64 (+.f64 x x) (+.f64 (/.f64 (/.f64 1 x) x) 1/12))
(*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) 1/2)
(*.f64 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 1/4)
(*.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(*.f64 -1 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 1/2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))
(*.f64 (*.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1/2) 2)
(*.f64 1/4 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 2 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)
(/.f64 4 (/.f64 4 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) 2)
(/.f64 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 4)
(/.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(/.f64 -1 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(/.f64 -2 (neg.f64 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (*.f64 2 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) -2)
(/.f64 (*.f64 4 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 8)
(/.f64 (neg.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) -2)
(/.f64 (*.f64 2 (*.f64 4 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))) -4)
(/.f64 (*.f64 2 (neg.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) -4)
(pow.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)
(neg.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/288 (pow.f64 x 4)) (*.f64 -1/3456 (pow.f64 x 6)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 864 (/.f64 1 (pow.f64 x 6))) (-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (-.f64 (*.f64 864 (/.f64 1 (pow.f64 x 6))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 4))) (*.f64 10368 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (-.f64 (*.f64 864 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 4))) (*.f64 10368 (/.f64 1 (pow.f64 x 8))))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 864 (/.f64 1 (pow.f64 x 6))) (-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (-.f64 (*.f64 864 (/.f64 1 (pow.f64 x 6))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 4))) (*.f64 10368 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (-.f64 (*.f64 864 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 4))) (*.f64 10368 (/.f64 1 (pow.f64 x 8))))))
(/.f64 2 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(+.f64 (*.f64 x 1/6) 0)
(*.f64 1/6 x)
(+.f64 0 (*.f64 x 1/6))
(*.f64 1/6 x)
(-.f64 (*.f64 x 1/6) 0)
(*.f64 1/6 x)
(/.f64 (*.f64 x 1/6) 1)
(*.f64 1/6 x)
(/.f64 (*.f64 x 1/3) 2)
(*.f64 1/6 x)
(/.f64 (*.f64 x 2/3) 4)
(*.f64 1/6 x)
(/.f64 (*.f64 2 (*.f64 x 2/3)) 8)
(*.f64 1/6 x)
(/.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16)
(*.f64 1/6 x)
(pow.f64 (*.f64 x 1/6) 1)
(*.f64 1/6 x)
(+.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(+.f64 0 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(+.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(+.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))) (/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(+.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(+.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (+.f64 x x)) (/.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (+.f64 x x)))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 x (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))
(*.f64 x (/.f64 2 (*.f64 (+.f64 (*.f64 x 1/3) (/.f64 4 x)) (*.f64 x x))))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))))
(*.f64 x (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 1 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 2 (/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 2 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))
(*.f64 2 (/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 2 (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 2))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 2 (*.f64 (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 1 x)))
(*.f64 2 (/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(*.f64 (/.f64 2 x) (*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1)
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1 (+.f64 (*.f64 x 1/3) (/.f64 4 x))) (*.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1 x) (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) x))
(/.f64 (+.f64 x x) (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 1 x))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2)
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 4 x) (/.f64 1 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 1 (+.f64 x x)))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 -1 x) (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 (/.f64 -1 x) (/.f64 -2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (/.f64 -2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 -1 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 -1 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (*.f64 x x))
(*.f64 1/2 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 x))
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (*.f64 x x))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2) (/.f64 2 x))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 1 (+.f64 x x)) (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x) -1)
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 2)
(*.f64 2 (/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 2 (/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1 (+.f64 (*.f64 x 1/3) (/.f64 4 x))) (*.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1 x) (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) x))
(/.f64 (+.f64 x x) (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x)))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 x (/.f64 2 (*.f64 (+.f64 (*.f64 x 1/3) (/.f64 4 x)) (*.f64 x x))))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))))
(*.f64 x (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 2) 2)
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(*.f64 (/.f64 1 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) (/.f64 4 x))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1)
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(-.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 0)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(-.f64 0 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(*.f64 x (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(*.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(*.f64 2 (*.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1/2))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(*.f64 2 (+.f64 (/.f64 1 x) (/.f64 (*.f64 x 1/6) 2)))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/6 x))
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(*.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(*.f64 (+.f64 x x) (+.f64 (/.f64 (/.f64 1 x) x) 1/12))
(*.f64 (+.f64 x x) (+.f64 (/.f64 1 (*.f64 x x)) 1/12))
(*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) 1/2)
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(*.f64 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 1/4)
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(*.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(*.f64 -1 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(*.f64 1/2 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(*.f64 (*.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1/2) 2)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(*.f64 1/4 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(/.f64 2 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(/.f64 4 (/.f64 4 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(/.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) 2)
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(/.f64 (*.f64 2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 4)
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(/.f64 -1 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(/.f64 -2 (neg.f64 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(/.f64 (*.f64 2 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) -2)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(/.f64 (*.f64 4 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 8)
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) -2)
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(/.f64 (*.f64 2 (*.f64 4 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) 16)
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))) -4)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(/.f64 (*.f64 2 (neg.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)))) -4)
(*.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x)))
(pow.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)
(+.f64 (/.f64 2 x) (*.f64 1/6 x))
(neg.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 2 x) (*.f64 1/6 x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 8 (/.f64 2 x))
Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 8 (/.f64 2 x))
0.0ms
x
@inf
(/.f64 8 (/.f64 2 x))
0.0ms
x
@0
(/.f64 8 (/.f64 2 x))

rewrite1.6s (12.1%)

Algorithm
1×batch-egg-rewrite
Rules
2094×rational.json-1
1344×rational.json-simplify-35
850×rational.json-2
850×rational.json-simplify-2
850×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1557
21577
33867
410467
528757
677417
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 8 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 7/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (+.f64 (*.f64 x 5/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (+.f64 (*.f64 x 3/2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 7/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (neg.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1/4 (*.f64 1/4 (/.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x 4)) (/.f64 2 (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 16) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x 32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 (/.f64 8 x) (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 32) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -8) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 4) (/.f64 x (*.f64 x 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 x) (/.f64 2 (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (/.f64 (/.f64 4 x) (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) -1/2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8 x) (/.f64 (/.f64 1/4 x) x)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 x) (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (*.f64 1/4 (/.f64 (/.f64 1/2 x) x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x 1/16)) (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x 1/8)) (*.f64 x (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x 1/8)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -8 (/.f64 2 x)))))))

simplify97.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1402×rational.json-simplify-35
1202×rational.json-simplify-2
892×rational.json-simplify-46
842×rational.json-simplify-51
760×rational.json-simplify-53
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0126893
1252821
2587809
31593797
44524761
Stop Event
1×node limit
Counts
71 → 78
Calls
Call 1
Inputs
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(+.f64 x (*.f64 x 3))
(+.f64 (*.f64 x 4) 0)
(+.f64 0 (*.f64 x 4))
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x 1/2) (*.f64 x 7/2))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x 5/2) x))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x 3/2) (+.f64 x x)))
(+.f64 (*.f64 x 3) x)
(+.f64 (*.f64 x 7/2) (*.f64 x 1/2))
(-.f64 (*.f64 x 4) 0)
(*.f64 8 (*.f64 x 1/2))
(*.f64 8 (*.f64 (neg.f64 x) -1/2))
(*.f64 2 (+.f64 x x))
(*.f64 x 4)
(*.f64 (/.f64 2 x) (/.f64 1/4 (*.f64 1/4 (/.f64 (/.f64 1/2 x) x))))
(*.f64 (*.f64 x 4) 1)
(*.f64 1 (*.f64 x 4))
(*.f64 4 x)
(*.f64 (+.f64 x x) 2)
(*.f64 16 (/.f64 x 4))
(*.f64 1/4 (*.f64 x 16))
(*.f64 1/4 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)))
(*.f64 1/2 (*.f64 8 x))
(*.f64 (*.f64 8 x) 1/2)
(*.f64 -2 (*.f64 x -2))
(*.f64 (neg.f64 x) -4)
(*.f64 (*.f64 x 1/2) 8)
(*.f64 (*.f64 x 1/2) (/.f64 x (*.f64 x 1/8)))
(*.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 (/.f64 1/4 x) x)))
(*.f64 (*.f64 x (/.f64 x 4)) (/.f64 2 (*.f64 x 1/8)))
(*.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 (/.f64 1/4 x) x)))
(*.f64 -4 (neg.f64 x))
(*.f64 (*.f64 x -2) -2)
(*.f64 (*.f64 x 16) 1/4)
(*.f64 1/8 (*.f64 x 32))
(*.f64 1/8 (/.f64 (/.f64 8 x) (/.f64 (/.f64 1/4 x) x)))
(*.f64 (*.f64 x 32) 1/8)
(*.f64 (*.f64 x -8) -1/2)
(*.f64 -1 (/.f64 x -1/4))
(*.f64 -1/2 (*.f64 x -8))
(*.f64 (/.f64 x 4) 16)
(*.f64 (/.f64 x 4) (/.f64 x (*.f64 x 1/16)))
(*.f64 (/.f64 1/8 x) (/.f64 2 (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))))
(*.f64 1/16 (/.f64 (/.f64 4 x) (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))))
(*.f64 (*.f64 (neg.f64 x) -1/2) 8)
(*.f64 (/.f64 2 (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))) (/.f64 1/8 x))
(*.f64 (/.f64 (/.f64 8 x) (/.f64 (/.f64 1/4 x) x)) 1/8)
(*.f64 (/.f64 4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x))
(*.f64 (/.f64 (/.f64 4 x) (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))) 1/16)
(*.f64 (/.f64 x -1/4) -1)
(*.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))
(*.f64 (/.f64 1/4 (*.f64 1/4 (/.f64 (/.f64 1/2 x) x))) (/.f64 2 x))
(*.f64 (/.f64 x (*.f64 x 1/16)) (/.f64 x 4))
(*.f64 (/.f64 2 (*.f64 x 1/8)) (*.f64 x (/.f64 x 4)))
(*.f64 (/.f64 x (*.f64 x 1/8)) (*.f64 x 1/2))
(*.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/4)
(pow.f64 (*.f64 x 4) 1)
(neg.f64 (*.f64 (neg.f64 x) 4))
(neg.f64 (/.f64 -8 (/.f64 2 x)))
Outputs
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(*.f64 4 x)
(+.f64 x (*.f64 x 3))
(*.f64 4 x)
(+.f64 (*.f64 x 4) 0)
(*.f64 4 x)
(+.f64 0 (*.f64 x 4))
(*.f64 4 x)
(+.f64 (+.f64 x x) (+.f64 x x))
(*.f64 4 x)
(+.f64 (*.f64 x 1/2) (*.f64 x 7/2))
(*.f64 4 x)
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x 5/2) x))
(*.f64 4 x)
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x 3/2) (+.f64 x x)))
(*.f64 4 x)
(+.f64 (*.f64 x 3) x)
(*.f64 4 x)
(+.f64 (*.f64 x 7/2) (*.f64 x 1/2))
(*.f64 4 x)
(-.f64 (*.f64 x 4) 0)
(*.f64 4 x)
(*.f64 8 (*.f64 x 1/2))
(*.f64 4 x)
(*.f64 8 (*.f64 (neg.f64 x) -1/2))
(*.f64 4 x)
(*.f64 2 (+.f64 x x))
(*.f64 4 x)
(*.f64 x 4)
(*.f64 4 x)
(*.f64 (/.f64 2 x) (/.f64 1/4 (*.f64 1/4 (/.f64 (/.f64 1/2 x) x))))
(*.f64 (/.f64 2 x) (/.f64 1 (/.f64 1/2 (*.f64 x x))))
(*.f64 (/.f64 2 x) (/.f64 (*.f64 x x) 1/2))
(*.f64 (/.f64 2 x) (*.f64 x (/.f64 x 1/2)))
(*.f64 (/.f64 2 x) (*.f64 2 (*.f64 x x)))
(*.f64 (*.f64 x 4) 1)
(*.f64 4 x)
(*.f64 1 (*.f64 x 4))
(*.f64 4 x)
(*.f64 4 x)
(*.f64 (+.f64 x x) 2)
(*.f64 4 x)
(*.f64 16 (/.f64 x 4))
(*.f64 1/4 (*.f64 x 16))
(*.f64 4 x)
(*.f64 1/4 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)))
(*.f64 4 x)
(*.f64 1/2 (*.f64 8 x))
(*.f64 4 x)
(*.f64 (*.f64 8 x) 1/2)
(*.f64 4 x)
(*.f64 -2 (*.f64 x -2))
(*.f64 4 x)
(*.f64 (neg.f64 x) -4)
(*.f64 4 x)
(*.f64 (*.f64 x 1/2) 8)
(*.f64 4 x)
(*.f64 (*.f64 x 1/2) (/.f64 x (*.f64 x 1/8)))
(*.f64 x (*.f64 1/2 (/.f64 (/.f64 x x) 1/8)))
(*.f64 x (*.f64 1/2 (/.f64 x (*.f64 x 1/8))))
(*.f64 1/2 (*.f64 x (/.f64 x (*.f64 x 1/8))))
(*.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 (/.f64 1/4 x) x)))
(*.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 1/4 x) (/.f64 x (/.f64 1/16 x)))
(*.f64 x (*.f64 (*.f64 x 16) (/.f64 1/4 x)))
(/.f64 4 (*.f64 2 (/.f64 1/2 x)))
(*.f64 (*.f64 x (/.f64 x 4)) (/.f64 2 (*.f64 x 1/8)))
(*.f64 x (*.f64 (/.f64 x 4) (/.f64 2 (*.f64 x 1/8))))
(*.f64 x (*.f64 (/.f64 x 4) (/.f64 16 x)))
(*.f64 x (/.f64 (/.f64 16 x) (/.f64 4 x)))
(*.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 (/.f64 1/4 x) x)))
(*.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 1/4 x) (/.f64 x (/.f64 1/16 x)))
(*.f64 x (*.f64 (*.f64 x 16) (/.f64 1/4 x)))
(/.f64 4 (*.f64 2 (/.f64 1/2 x)))
(*.f64 -4 (neg.f64 x))
(*.f64 4 x)
(*.f64 (*.f64 x -2) -2)
(*.f64 4 x)
(*.f64 (*.f64 x 16) 1/4)
(*.f64 4 x)
(*.f64 1/8 (*.f64 x 32))
(*.f64 4 x)
(*.f64 1/8 (/.f64 (/.f64 8 x) (/.f64 (/.f64 1/4 x) x)))
(*.f64 4 x)
(*.f64 (*.f64 x 32) 1/8)
(*.f64 4 x)
(*.f64 (*.f64 x -8) -1/2)
(*.f64 4 x)
(*.f64 -1 (/.f64 x -1/4))
(*.f64 4 x)
(*.f64 -1/2 (*.f64 x -8))
(*.f64 4 x)
(*.f64 (/.f64 x 4) 16)
(*.f64 16 (/.f64 x 4))
(*.f64 (/.f64 x 4) (/.f64 x (*.f64 x 1/16)))
(*.f64 x (*.f64 (/.f64 x 4) (/.f64 2 (*.f64 x 1/8))))
(*.f64 x (*.f64 (/.f64 x 4) (/.f64 16 x)))
(*.f64 x (/.f64 (/.f64 16 x) (/.f64 4 x)))
(*.f64 (/.f64 1/8 x) (/.f64 2 (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))))
(*.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 1/4 x) (/.f64 x (/.f64 1/16 x)))
(*.f64 x (*.f64 (*.f64 x 16) (/.f64 1/4 x)))
(/.f64 4 (*.f64 2 (/.f64 1/2 x)))
(*.f64 1/16 (/.f64 (/.f64 4 x) (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))))
(*.f64 1/16 (/.f64 (/.f64 (/.f64 4 x) (/.f64 1/4 x)) (/.f64 1/4 x)))
(*.f64 1/16 (/.f64 4 (*.f64 (/.f64 1/4 x) (*.f64 (/.f64 1/4 x) x))))
(*.f64 1/16 (/.f64 x (/.f64 (/.f64 1/4 x) (/.f64 16 x))))
(*.f64 1/16 (/.f64 x (*.f64 x (/.f64 1/64 x))))
(*.f64 1/16 (/.f64 x (/.f64 (/.f64 x x) 64)))
(*.f64 (*.f64 (neg.f64 x) -1/2) 8)
(*.f64 4 x)
(*.f64 (/.f64 2 (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))) (/.f64 1/8 x))
(*.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 1/4 x) (/.f64 x (/.f64 1/16 x)))
(*.f64 x (*.f64 (*.f64 x 16) (/.f64 1/4 x)))
(/.f64 4 (*.f64 2 (/.f64 1/2 x)))
(*.f64 (/.f64 (/.f64 8 x) (/.f64 (/.f64 1/4 x) x)) 1/8)
(*.f64 4 x)
(*.f64 (/.f64 4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/4 x))
(*.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 1/4 x) (/.f64 x (/.f64 1/16 x)))
(*.f64 x (*.f64 (*.f64 x 16) (/.f64 1/4 x)))
(/.f64 4 (*.f64 2 (/.f64 1/2 x)))
(*.f64 (/.f64 (/.f64 4 x) (*.f64 (/.f64 1/4 x) (/.f64 1/4 x))) 1/16)
(*.f64 1/16 (/.f64 (/.f64 (/.f64 4 x) (/.f64 1/4 x)) (/.f64 1/4 x)))
(*.f64 1/16 (/.f64 4 (*.f64 (/.f64 1/4 x) (*.f64 (/.f64 1/4 x) x))))
(*.f64 1/16 (/.f64 x (/.f64 (/.f64 1/4 x) (/.f64 16 x))))
(*.f64 1/16 (/.f64 x (*.f64 x (/.f64 1/64 x))))
(*.f64 1/16 (/.f64 x (/.f64 (/.f64 x x) 64)))
(*.f64 (/.f64 x -1/4) -1)
(*.f64 4 x)
(*.f64 (/.f64 2 (/.f64 (/.f64 1/4 x) x)) (/.f64 1/2 x))
(*.f64 (/.f64 1/4 x) (/.f64 4 (/.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 1/4 x) (/.f64 x (/.f64 1/16 x)))
(*.f64 x (*.f64 (*.f64 x 16) (/.f64 1/4 x)))
(/.f64 4 (*.f64 2 (/.f64 1/2 x)))
(*.f64 (/.f64 1/4 (*.f64 1/4 (/.f64 (/.f64 1/2 x) x))) (/.f64 2 x))
(*.f64 (/.f64 2 x) (/.f64 1 (/.f64 1/2 (*.f64 x x))))
(*.f64 (/.f64 2 x) (/.f64 (*.f64 x x) 1/2))
(*.f64 (/.f64 2 x) (*.f64 x (/.f64 x 1/2)))
(*.f64 (/.f64 2 x) (*.f64 2 (*.f64 x x)))
(*.f64 (/.f64 x (*.f64 x 1/16)) (/.f64 x 4))
(*.f64 x (*.f64 (/.f64 x 4) (/.f64 2 (*.f64 x 1/8))))
(*.f64 x (*.f64 (/.f64 x 4) (/.f64 16 x)))
(*.f64 x (/.f64 (/.f64 16 x) (/.f64 4 x)))
(*.f64 (/.f64 2 (*.f64 x 1/8)) (*.f64 x (/.f64 x 4)))
(*.f64 x (*.f64 (/.f64 x 4) (/.f64 2 (*.f64 x 1/8))))
(*.f64 x (*.f64 (/.f64 x 4) (/.f64 16 x)))
(*.f64 x (/.f64 (/.f64 16 x) (/.f64 4 x)))
(*.f64 (/.f64 x (*.f64 x 1/8)) (*.f64 x 1/2))
(*.f64 x (*.f64 1/2 (/.f64 (/.f64 x x) 1/8)))
(*.f64 x (*.f64 1/2 (/.f64 x (*.f64 x 1/8))))
(*.f64 1/2 (*.f64 x (/.f64 x (*.f64 x 1/8))))
(*.f64 (/.f64 (/.f64 4 x) (/.f64 (/.f64 1/4 x) x)) 1/4)
(*.f64 4 x)
(pow.f64 (*.f64 x 4) 1)
(*.f64 4 x)
(neg.f64 (*.f64 (neg.f64 x) 4))
(*.f64 4 x)
(neg.f64 (/.f64 -8 (/.f64 2 x)))
(*.f64 4 x)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
✓0.1b
(/.f64 x (+.f64 (cos.f64 x) -1))
✓0.3b
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
1.6b
(+.f64 (cos.f64 x) -1)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite118.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1848×rational.json-1
1848×rational.json-2
1696×rational.json-simplify-35
968×exponential.json-3
968×rational.json-4
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01069
17969
223167
371363
4304563
5743763
Stop Event
1×node limit
Counts
3 → 94
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 x (+.f64 (cos.f64 x) -1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) (/.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (*.f64 (/.f64 1/2 x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 -2 (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (*.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x 4))) (*.f64 (+.f64 -1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2) (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 -1 (cos.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (+.f64 -1 (cos.f64 x))) (/.f64 1/2 (+.f64 -1 (cos.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) (*.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (neg.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) 4) (+.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (-.f64 0 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (+.f64 -1 (cos.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) -2) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))))

simplify86.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1314×rational.json-simplify-51
1270×rational.json-simplify-35
1070×rational.json-simplify-44
980×rational.json-simplify-53
944×rational.json-simplify-47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02293174
15703146
215063116
355613100
Stop Event
1×node limit
Counts
130 → 152
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 -2 x)
(-.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/6 x) (*.f64 -1/120 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 -1/3024 (pow.f64 x 5)) (*.f64 -1/120 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
-2
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/3024 (pow.f64 x 6)))) 2)
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 0)
(+.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 0)
(*.f64 -1 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(*.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) (/.f64 (/.f64 -1/2 x) x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 2 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (*.f64 x -2))))
(*.f64 2 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2))
(*.f64 2 (*.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 -1 (cos.f64 x))))
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x 4))))
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 (*.f64 x x))) 1/2)
(*.f64 (/.f64 -2 x) (/.f64 1 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 -2 x) (*.f64 (/.f64 1/2 x) (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x))
(*.f64 1/2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 (*.f64 x x))))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 -2 (*.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (*.f64 x -2))) 2)
(*.f64 (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x 4))) (*.f64 (+.f64 -1 (cos.f64 x)) 4))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2) 2)
(*.f64 (/.f64 1 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) (/.f64 -2 x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x))
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 -1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 x (+.f64 -1 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2) (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2))
(-.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 0)
(-.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 1 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)
(*.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 -1 (cos.f64 x))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) 1/2))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(*.f64 2 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2))
(*.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) 1/2)
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) 4)))
(*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) x)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(*.f64 1/2 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2) 2)
(*.f64 (/.f64 1/2 (+.f64 -1 (cos.f64 x))) (+.f64 x x))
(*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) 1/2) (+.f64 x x))
(*.f64 (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) 4)) (*.f64 x 4))
(*.f64 (+.f64 (/.f64 1/2 (+.f64 -1 (cos.f64 x))) (/.f64 1/2 (+.f64 -1 (cos.f64 x)))) x)
(pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)
(neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 0)
(-.f64 0 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)
(/.f64 1 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x))
(/.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 2)
(/.f64 (+.f64 x x) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x))
(/.f64 2 (+.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x)))
(/.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) (*.f64 -1 (/.f64 -2 x)))
(/.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) (/.f64 2 x))
(/.f64 (*.f64 x 4) (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x))))
(/.f64 (*.f64 x 4) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4))
(/.f64 (*.f64 x (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 4)) 4)
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x))
(/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (neg.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2))) -2))
(/.f64 4 (+.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x)))
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (*.f64 (+.f64 x x) 4) (+.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 4) 8)
(/.f64 (*.f64 x -2) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 x)))
(/.f64 (*.f64 x -2) (-.f64 0 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x))))
(/.f64 (*.f64 x 1/2) (/.f64 (+.f64 -1 (cos.f64 x)) (+.f64 x x)))
(/.f64 (*.f64 x 1/2) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 2))
(/.f64 (*.f64 x 1/2) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) 4))
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) -2) (/.f64 -2 x))
(/.f64 (*.f64 2 (*.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 4)) 16)
(pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)
(neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(/.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 (*.f64 -1/6 x) (*.f64 -1/120 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 x -1/6) (*.f64 -1/120 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 x -1/6) (-.f64 (*.f64 -1/120 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 -1/3024 (pow.f64 x 5)) (*.f64 -1/120 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 x -1/6) (+.f64 (*.f64 -1/120 (pow.f64 x 3)) (*.f64 -1/3024 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(+.f64 (-.f64 (*.f64 x -1/6) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 -1/120 (pow.f64 x 3)) (*.f64 -1/3024 (pow.f64 x 5))))
(+.f64 (*.f64 x -1/6) (-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 3)) (*.f64 -1/3024 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x))))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 -1 (cos.f64 x)))
-2
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2)
(-.f64 (*.f64 (pow.f64 x 2) -1/6) 2)
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/6) (*.f64 (pow.f64 x 4) -1/120)) 2)
(+.f64 (*.f64 (pow.f64 x 2) -1/6) (-.f64 (*.f64 (pow.f64 x 4) -1/120) 2))
(+.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) 2) (*.f64 (pow.f64 x 4) -1/120))
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/3024 (pow.f64 x 6)))) 2)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/6) (*.f64 (pow.f64 x 6) -1/3024)) (-.f64 (*.f64 (pow.f64 x 4) -1/120) 2))
(+.f64 (*.f64 (pow.f64 x 2) -1/6) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/120) (*.f64 (pow.f64 x 6) -1/3024)) 2))
(+.f64 (*.f64 (pow.f64 x 2) -1/6) (+.f64 (*.f64 (pow.f64 x 6) -1/3024) (-.f64 (*.f64 (pow.f64 x 4) -1/120) 2)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2)) (/.f64 (/.f64 -1/2 x) x))
(*.f64 (+.f64 -2 (*.f64 2 (cos.f64 x))) (/.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 -2 (*.f64 2 (cos.f64 x))) (/.f64 (/.f64 -1/2 x) x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (*.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 -1 (cos.f64 x))))
(*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1/2 (*.f64 x x))))
(*.f64 (/.f64 -1/2 (*.f64 x x)) (*.f64 2 (+.f64 -1 (cos.f64 x))))
(*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (/.f64 -1/2 x) x)))
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x 4))))
(*.f64 (*.f64 4 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x 4))))
(*.f64 4 (*.f64 (/.f64 1 (*.f64 x (*.f64 x -4))) (+.f64 -1 (cos.f64 x))))
(*.f64 (*.f64 4 (+.f64 -1 (cos.f64 x))) (/.f64 -1/4 (*.f64 x x)))
(*.f64 4 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1/4 (*.f64 x x))))
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 (*.f64 x x))) 1/2)
(*.f64 1/2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (/.f64 -2 x) x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (*.f64 1/2 (/.f64 -2 (*.f64 x x))))
(*.f64 (/.f64 -2 (*.f64 x x)) (*.f64 1/2 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 -2 x) (/.f64 1 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 -2 x) (/.f64 1 (*.f64 x (/.f64 2 (+.f64 -1 (cos.f64 x))))))
(*.f64 (/.f64 -2 x) (/.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 -2 x) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 -2 x) (*.f64 (/.f64 1/2 x) (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 -2 x) (/.f64 1 (*.f64 x (/.f64 2 (+.f64 -1 (cos.f64 x))))))
(*.f64 (/.f64 -2 x) (/.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 -2 x) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1/2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 (*.f64 x x))))
(*.f64 1/2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (/.f64 -2 x) x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (*.f64 1/2 (/.f64 -2 (*.f64 x x))))
(*.f64 (/.f64 -2 (*.f64 x x)) (*.f64 1/2 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 -2 (*.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 -2 (*.f64 2 (cos.f64 x))) (/.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 -2 (*.f64 2 (cos.f64 x))) (/.f64 (/.f64 -1/2 x) x))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (*.f64 x -2))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x 4))) (*.f64 (+.f64 -1 (cos.f64 x)) 4))
(*.f64 (*.f64 4 (+.f64 -1 (cos.f64 x))) (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x 4))))
(*.f64 4 (*.f64 (/.f64 1 (*.f64 x (*.f64 x -4))) (+.f64 -1 (cos.f64 x))))
(*.f64 (*.f64 4 (+.f64 -1 (cos.f64 x))) (/.f64 -1/4 (*.f64 x x)))
(*.f64 4 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) (/.f64 -2 x))
(*.f64 (/.f64 -2 x) (/.f64 1 (*.f64 x (/.f64 2 (+.f64 -1 (cos.f64 x))))))
(*.f64 (/.f64 -2 x) (/.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 -2 x) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 -1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 0)
(/.f64 x (+.f64 -1 (cos.f64 x)))
(+.f64 0 (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(+.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2) (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(-.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 0)
(/.f64 x (+.f64 -1 (cos.f64 x)))
(-.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 x (/.f64 1 (+.f64 -1 (cos.f64 x))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 -1 (cos.f64 x))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) 1/2))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 2 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) 1/2)
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) 4)))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) x)
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 1/2 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1/2) 2)
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1/2 (+.f64 -1 (cos.f64 x))) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) 1/2) (+.f64 x x))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 (+.f64 -1 (cos.f64 x)) 4)) (*.f64 x 4))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(*.f64 (+.f64 (/.f64 1/2 (+.f64 -1 (cos.f64 x))) (/.f64 1/2 (+.f64 -1 (cos.f64 x)))) x)
(*.f64 x (+.f64 (/.f64 1/2 (+.f64 -1 (cos.f64 x))) (/.f64 1/2 (+.f64 -1 (cos.f64 x)))))
(*.f64 2 (*.f64 x (/.f64 1/2 (+.f64 -1 (cos.f64 x)))))
(pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)
(/.f64 x (+.f64 -1 (cos.f64 x)))
(neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 0)
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(+.f64 0 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(-.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 0)
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(-.f64 0 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (/.f64 1 x))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 2)
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 x x) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 2 (+.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) (*.f64 -1 (/.f64 -2 x)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x)))) (/.f64 2 x))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x 4) (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x))))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x 4) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 4)) 4)
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x x) (/.f64 (neg.f64 (+.f64 -2 (*.f64 (cos.f64 x) 2))) -2))
(/.f64 -2 (/.f64 (neg.f64 (+.f64 -2 (*.f64 2 (cos.f64 x)))) (*.f64 x x)))
(*.f64 x (/.f64 x (/.f64 (+.f64 -2 (*.f64 2 (cos.f64 x))) 2)))
(*.f64 x (/.f64 x (*.f64 (+.f64 -2 (*.f64 2 (cos.f64 x))) 1/2)))
(/.f64 4 (+.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) x)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (+.f64 x x) 4) (+.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4) (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 4)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 4) 8)
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x -2) (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -2 x)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x -2) (-.f64 0 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x))))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x 1/2) (/.f64 (+.f64 -1 (cos.f64 x)) (+.f64 x x)))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x 1/2) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 2))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 x 1/2) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 2 x)) 4))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) -2) (/.f64 -2 x))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 2 (*.f64 (*.f64 x (*.f64 x (/.f64 -2 (-.f64 1 (cos.f64 x))))) 4)) 16)
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.6b
(-.f64 1 (cos.f64 x))
✓4.0b
(*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x)
Compiler

Compiled 70 to 41 computations (41.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite106.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
2102×rational.json-1
1586×rational.json-simplify-35
904×exponential.json-3
904×rational.json-2
904×rational.json-4
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01341
110241
226241
372541
4262329
5746929
Stop Event
1×node limit
Counts
1 → 88
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (+.f64 x x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (*.f64 x 1/2) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (*.f64 x 4) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (neg.f64 x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (*.f64 4 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (neg.f64 (*.f64 x 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (*.f64 4 (*.f64 x 1/2)) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x 4) (/.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 x) (+.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (/.f64 x (*.f64 2 (+.f64 (cos.f64 x) -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) 4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (+.f64 (*.f64 x (/.f64 1/2 x)) (*.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x))))) (+.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) (-.f64 0 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x)) (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x))) (fabs.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (-.f64 0 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))) (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x))) (-.f64 0 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)))))

simplify116.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1440×rational.json-simplify-38
1272×rational.json-simplify-43
1208×rational.json-simplify-2
1018×rational.json-simplify-35
592×rational.json-simplify-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02515240
19823634
236063552
364633500
Stop Event
1×node limit
Counts
100 → 122
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/20160 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 0 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(+.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)
(-.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)
(/.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 2 (+.f64 (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 2 (+.f64 (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 x (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2)))
(/.f64 x (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(/.f64 x (/.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (/.f64 2 x)) 2))
(/.f64 x (/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 x (/.f64 (*.f64 (+.f64 x x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 4))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 4))
(/.f64 x (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x -1/2)) -1))
(/.f64 x (/.f64 (*.f64 (*.f64 x 1/2) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))) -1))
(/.f64 x (/.f64 (*.f64 (*.f64 x 4) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 8))
(/.f64 x (/.f64 (*.f64 (neg.f64 x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -2))
(/.f64 (/.f64 2 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2)) 2))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 4 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x 4)))
(/.f64 1 (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 1/2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (/.f64 4 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x (*.f64 x 1/2)) x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (neg.f64 (*.f64 x 1/2)) -1))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 x (/.f64 1/2 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 x x) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (*.f64 4 (*.f64 x 1/2)) (*.f64 x 4)))
(/.f64 (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 1 x))
(/.f64 4 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 1 x)))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) 2))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x 4) (/.f64 1 x)) 4))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)
(/.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 2 (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (+.f64 x x))
(/.f64 (/.f64 4 x) (+.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x)))
(/.f64 8 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (*.f64 x x)))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (*.f64 2 (+.f64 (cos.f64 x) -1))) -1))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (*.f64 x 1/2)))
(/.f64 -2 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 4)
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) 2)
(/.f64 (*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) 4) (*.f64 x 4))
(/.f64 -4 (-.f64 0 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x (*.f64 x 4)))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (+.f64 (*.f64 x (/.f64 1/2 x)) (*.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (neg.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x))))) (+.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x (*.f64 x -2)))
(/.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x))) (*.f64 x -2))
(/.f64 (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) 8)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 2)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) 2)
(/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (*.f64 2 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) (-.f64 0 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) (*.f64 x -2))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x))) x)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x)) 4)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 4)
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))))
(/.f64 (+.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x)) (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x))) (fabs.f64 (*.f64 x -2)))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) 16)
(/.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (-.f64 0 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))) (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x))) (-.f64 0 (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(pow.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)
Outputs
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 1/360 (pow.f64 x 4)) 1))
(+.f64 (*.f64 -1/20160 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4)))))
(+.f64 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 1/360 (pow.f64 x 4)) 1)) (*.f64 -1/20160 (pow.f64 x 6)))
(+.f64 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))) (+.f64 (*.f64 -1/20160 (pow.f64 x 6)) 1))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 1/360 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 6)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(+.f64 0 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(-.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 2 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 2 (+.f64 (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 2 (+.f64 (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (/.f64 2 x)) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 (+.f64 x x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 4))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 4))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x -1/2)) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 (*.f64 x 1/2) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 (*.f64 x 4) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 8))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 (neg.f64 x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 2 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2)) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 4 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x 4)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 1 (/.f64 (*.f64 x x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 1 (*.f64 (*.f64 x 1/2) (/.f64 x (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 1/2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 (/.f64 4 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x (*.f64 x 1/2)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (neg.f64 (*.f64 x 1/2)) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 x (/.f64 1/2 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 x x) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (*.f64 4 (*.f64 x 1/2)) (*.f64 x 4)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 2 x) (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 x (/.f64 1 (/.f64 2 x))))
(/.f64 4 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))
(/.f64 4 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(/.f64 1/2 (*.f64 x (/.f64 x (*.f64 4 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x 4) (/.f64 1 x)) 4))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 2 (-.f64 1 (cos.f64 x))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) (+.f64 x x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 4 x) (+.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 8 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))
(/.f64 4 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(/.f64 1/2 (*.f64 x (/.f64 x (*.f64 4 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 2 (*.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (*.f64 2 (+.f64 (cos.f64 x) -1))) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (*.f64 x 1/2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 -2 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 x) (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 x (*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 4)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 4 x)) 2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) 4) (*.f64 x 4))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 -4 (-.f64 0 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))
(/.f64 4 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(/.f64 1/2 (*.f64 x (/.f64 x (*.f64 4 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x (*.f64 x 4)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (+.f64 (*.f64 x (/.f64 1/2 x)) (*.f64 x (/.f64 1/2 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x)) (neg.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x))))) (+.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x (*.f64 x -2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (/.f64 2 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (/.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x))) (*.f64 x -2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) 8)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) 2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x)) (fabs.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 x) (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 x (*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (*.f64 2 (*.f64 x x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) (-.f64 0 (*.f64 x (neg.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x))) (*.f64 x -2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 x))) x)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 x)) x)) 4)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 4)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 2 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (/.f64 2 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (/.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 1/2))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 1/2)))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 x (*.f64 x (*.f64 1/2 (-.f64 1 (cos.f64 x))))) (/.f64 x (*.f64 x (*.f64 1/2 (-.f64 1 (cos.f64 x)))))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 x (*.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 1/2))) (/.f64 x (*.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 1/2)))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 2 (/.f64 x (*.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 1/2)))) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x)) (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x))) (fabs.f64 (*.f64 x -2)))
(/.f64 (+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (fabs.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (fabs.f64 x)))) (*.f64 (fabs.f64 x) 2))
(/.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)))) (*.f64 2 (fabs.f64 x)))
(/.f64 (*.f64 (/.f64 2 (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 1/2)) (*.f64 2 (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (+.f64 (/.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))
(/.f64 1/2 (*.f64 x (/.f64 (/.f64 x (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 1/2 x))))) (/.f64 (-.f64 1 (cos.f64 x)) 1/2))))
(/.f64 (+.f64 (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 2 (*.f64 4 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) 16)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x))) (-.f64 0 (*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 x) (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 x (*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 1/2))) (-.f64 0 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (fabs.f64 x))) (-.f64 0 (fabs.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 x) (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))
(/.f64 x (*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))))
(pow.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))

localize81.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (-.f64 1 (cos.f64 x)))
1.6b
(-.f64 1 (cos.f64 x))
✓4.7b
(/.f64 x (*.f64 x (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2)))))
✓10.1b
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2)))
Compiler

Compiled 84 to 54 computations (35.7% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite91.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1830×rational.json-1
1830×rational.json-2
1830×rational.json-4
1830×rational.json-3
824×rational.json-simplify-44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01499
111787
232675
3110975
4514375
Stop Event
1×node limit
Counts
3 → 163
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2)))
(/.f64 x (*.f64 x (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 -2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (*.f64 x 1/2))) (*.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (+.f64 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 2 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (*.f64 2 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 2 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 (+.f64 x x) (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 x 4) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (+.f64 x x) (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) (*.f64 4 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (*.f64 4 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x) (/.f64 2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x 1/2)))) (*.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) -2) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) -2) (/.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) -1) (*.f64 2 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) -1) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (*.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x x) -2) (/.f64 (*.f64 x x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (/.f64 2 (*.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8 (/.f64 2 (*.f64 x x))) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -4 (/.f64 2 (*.f64 x x))) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 x)) (*.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x x) -2)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 x x) (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 2 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 2 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x 1/2) (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 (*.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (/.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)))))

simplify137.0ms (1%)

Algorithm
1×egg-herbie
Rules
1414×rational.json-simplify-2
1318×rational.json-simplify-35
758×rational.json-simplify-54
702×rational.json-simplify-1
636×rational.json-simplify-49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03765987
112805917
244115773
379145773
Stop Event
1×node limit
Counts
191 → 221
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 (*.f64 1/6048 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/20160 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 0 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(+.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)
(-.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)
(/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 x x)))
(/.f64 (*.f64 x 1/2) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) x)
(/.f64 (+.f64 x x) (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 x x) (*.f64 -2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))
(/.f64 (+.f64 x x) (*.f64 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))) 1))
(/.f64 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (+.f64 x x))
(/.f64 2 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 x x) -2)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x 1/2))) (*.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 -1 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x 1/2))))
(/.f64 -1 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))))
(/.f64 -1 (-.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))))
(/.f64 (neg.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)) 1))
(/.f64 (*.f64 x 4) (+.f64 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x 4) (*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(/.f64 (*.f64 x 4) (*.f64 2 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 x 4))
(/.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 4 x))
(/.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (*.f64 2 (/.f64 2 (*.f64 x x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 2 (*.f64 x (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 (+.f64 x x) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 4 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 4))
(/.f64 4 (/.f64 (*.f64 x 4) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(/.f64 4 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x 1/2))))
(/.f64 4 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 (*.f64 x x))))
(/.f64 -2 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x 1/2))))
(/.f64 -2 (/.f64 (+.f64 x x) (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 -2 (*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 2 (*.f64 x x))))
(/.f64 -2 (*.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 x x))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 2 x))
(/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) -1)
(/.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (*.f64 x -2) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))
(/.f64 (*.f64 x -2) (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))
(/.f64 (*.f64 2 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) (*.f64 x -2))
(/.f64 (*.f64 2 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (*.f64 x 4)))
(/.f64 (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 4)
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (*.f64 2 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) -2)
(/.f64 (*.f64 x (+.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x (+.f64 x x)) (*.f64 4 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (*.f64 4 (/.f64 2 (*.f64 x x))))
(/.f64 8 (*.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 2 (*.f64 x x))))
(/.f64 -4 (*.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 x x))))
(/.f64 (/.f64 4 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x))) (neg.f64 x))
(/.f64 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) x)
(/.f64 (*.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 4 x))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 -2 x))
(/.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x) (/.f64 2 (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1/4) 1/2)
(/.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) (*.f64 x -2))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x 1/2)))) (*.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))
(/.f64 (/.f64 (*.f64 x x) -2) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (*.f64 x x) -2) (/.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 2 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (*.f64 x (*.f64 x 1/2))))
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 x x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (/.f64 (*.f64 x x) -1) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(/.f64 (/.f64 (*.f64 x x) -1) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 2 (*.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (/.f64 -2 x) (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) -2) (/.f64 (*.f64 x x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 8)
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) x) -1)
(/.f64 (/.f64 (*.f64 x 4) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) 4)
(/.f64 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) 4)
(/.f64 (/.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) x) 4)
(/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))) -1)
(/.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))) -2)
(/.f64 (/.f64 1 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (/.f64 2 (*.f64 x x))) 4)
(/.f64 (/.f64 8 (/.f64 2 (*.f64 x x))) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (/.f64 -4 (/.f64 2 (*.f64 x x))) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) 2) (*.f64 x 1/2))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 x)) (*.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) 1/2) (+.f64 x x))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) -1) x)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) x)
(/.f64 (neg.f64 (/.f64 (*.f64 x x) -2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)
(neg.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 0)
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 1/2 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (/.f64 (+.f64 x x) (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 (*.f64 x 1/2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 (*.f64 x 1/2) (/.f64 2 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 (*.f64 x 1/2) (/.f64 2 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1)
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 1))
(*.f64 (+.f64 x x) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 (+.f64 x x) (/.f64 1/2 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 2 (*.f64 (*.f64 x 1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (/.f64 x (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 2))
(*.f64 2 (/.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (/.f64 (*.f64 x 1/2) (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) (*.f64 x 1/2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 (*.f64 x x) 1/2)))
(*.f64 -1 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(*.f64 -1 (*.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) 1))
(*.f64 -1 (/.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 (*.f64 x x) -2)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (/.f64 (*.f64 x x) -1)))
(*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 (neg.f64 x) (*.f64 (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) 1))
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x)))))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 (*.f64 x x) 1/2)))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 (*.f64 x x) -1)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 x))
(*.f64 (*.f64 x (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) x)
(*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 1/2)
(*.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (+.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))) (*.f64 x 1/2))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1)
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) 1/2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
Outputs
1
(+.f64 1 (*.f64 1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 (*.f64 1/6048 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))) (*.f64 1/6048 (pow.f64 x 6))))
(+.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 1/6048 (pow.f64 x 6)))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/12))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) -1/12) (+.f64 (*.f64 (pow.f64 x 4) 1/360) 1))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1/12) (*.f64 (pow.f64 x 4) 1/360)))
(+.f64 (*.f64 (pow.f64 x 2) -1/12) (+.f64 1 (*.f64 (pow.f64 x 4) 1/360)))
(+.f64 (*.f64 -1/20160 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 4)))))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/12) (+.f64 (*.f64 (pow.f64 x 4) 1/360) 1)) (*.f64 (pow.f64 x 6) -1/20160))
(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/12) (*.f64 (pow.f64 x 4) 1/360)) (*.f64 (pow.f64 x 6) -1/20160)))
(+.f64 (*.f64 (pow.f64 x 2) -1/12) (+.f64 (*.f64 (pow.f64 x 6) -1/20160) (+.f64 1 (*.f64 (pow.f64 x 4) 1/360))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1/6 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/120)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 2) 1/120) 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1/6 (+.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) 1/3024)) (*.f64 (pow.f64 x 2) 1/120)))
(+.f64 1/6 (+.f64 (*.f64 (pow.f64 x 2) 1/120) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) 1/3024))))
(+.f64 0 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(+.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(-.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 0)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 x x)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x 1/2) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) x)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 x x) (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 x x) (*.f64 -2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 x x) (*.f64 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))) 1))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (+.f64 x x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 2 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 2 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 x x) -2)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x 1/2))) (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x 1/2))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (-.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)) 1))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x 4) (+.f64 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x 4) (*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x 4) (*.f64 2 (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 x 4))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 4 x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (*.f64 2 (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 2 (*.f64 x (*.f64 x 1/2))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) (/.f64 (+.f64 x x) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 4 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 4))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 4 (/.f64 (*.f64 x 4) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 4 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x 1/2))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 4 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -2 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x 1/2))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -2 (/.f64 (+.f64 x x) (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -2 (*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -2 (*.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 2 x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) (neg.f64 x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) -1)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x -2) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x -2) (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 2 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) (*.f64 x -2))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 2 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (*.f64 x 4)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 4)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 2 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) -2)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (+.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (+.f64 x x)) (*.f64 4 (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (*.f64 4 (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 8 (*.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 -4 (*.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 4 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x))) (neg.f64 x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) x)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 4 x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 x)) (/.f64 -2 x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x) (/.f64 2 (*.f64 x (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1/4) 1/2)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) (*.f64 x -2))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x 1/2)))) (*.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x x) -2) (+.f64 (cos.f64 x) -1))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x x) -2) (/.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 2 (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (*.f64 x (*.f64 x 1/2))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x x) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x x) -1) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x x) -1) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 2 (*.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 -2 x) (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) -2) (/.f64 (*.f64 x x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (*.f64 2 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 8)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) x) -1)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x 4) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) 4)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) 4)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) x) 4)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))) -1)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 1/2))) -2)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 1 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) (/.f64 2 (*.f64 x x))) 4)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 8 (/.f64 2 (*.f64 x x))) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 -4 (/.f64 2 (*.f64 x x))) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) 2) (*.f64 x 1/2))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 x)) (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))) 1/2) (+.f64 x x))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) -1) x)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) x)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) -2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(pow.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))) 1)
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(neg.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))
(*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (*.f64 -2 (+.f64 (cos.f64 x) -1))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 1/2 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (/.f64 (+.f64 x x) (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 1/2 (/.f64 (+.f64 x x) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 1/2 (/.f64 -2 (/.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2))) x)))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4 (*.f64 x x))))
(*.f64 (*.f64 x 1/2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 (*.f64 x 1/2) (/.f64 2 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 (*.f64 x 1/2) (/.f64 (/.f64 2 x) (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 x 1/2) (/.f64 (/.f64 2 x) (/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 1/2 (/.f64 4 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (*.f64 x 1/2) (/.f64 2 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 (*.f64 x 1/2) (/.f64 (/.f64 2 x) (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 x 1/2) (/.f64 (/.f64 2 x) (/.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 1/2 (/.f64 4 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 1))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(*.f64 (+.f64 x x) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 (+.f64 x x) (/.f64 1/2 (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 (+.f64 x x) (/.f64 -1/2 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(*.f64 (+.f64 x x) (/.f64 -1/2 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 2 (*.f64 (*.f64 x 1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (/.f64 x (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 2))
(*.f64 2 (*.f64 (/.f64 2 (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 (*.f64 x x)) 2)))
(*.f64 2 (*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))))
(*.f64 2 (/.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (/.f64 (*.f64 x 1/2) (*.f64 -1 (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) (*.f64 x 1/2)))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x x)))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 (*.f64 x x) 1/2)))
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))))
(*.f64 -1 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(*.f64 -1 (*.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) 1))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(*.f64 -1 (/.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 (*.f64 x x) -2)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (/.f64 x -2))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (/.f64 (*.f64 x x) -1)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (/.f64 x -2))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (*.f64 x x)))
(*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) 1))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 x (*.f64 (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))) (neg.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (+.f64 x x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 x 4) (/.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 x (*.f64 4 (/.f64 1/2 (*.f64 x (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 (*.f64 x x) 1/2)))
(*.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 x x) 1/2)))
(*.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 (*.f64 x x) -1)))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 2 (/.f64 -1 (*.f64 x x))))
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1 x)))
(*.f64 (*.f64 x (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (/.f64 2 (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) x)
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1 x)))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 1/2)
(*.f64 1/2 (/.f64 4 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))) -1)
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 -1 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x)))))) (neg.f64 x))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2))))) (*.f64 x 1/2))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x 1/2)))))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x 1/2) (-.f64 1 (cos.f64 x))))))))
(/.f64 x (neg.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) 1/2)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(/.f64 1 (-.f64 1 (cos.f64 x)))

eval748.0ms (5.7%)

Compiler

Compiled 16246 to 11169 computations (31.3% saved)

prune915.0ms (7%)

Pruning

32 alts after pruning (20 fresh and 12 done)

PrunedKeptTotal
New91015925
Fresh459
Picked101
Done11213
Total91632948
Error
0.1b
Counts
948 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
✓24.4b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
25.2b
(/.f64 (/.f64 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
28.0b
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (*.f64 x x))
✓24.4b
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
✓37.1b
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
✓15.3b
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
24.4b
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x))
25.1b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
✓25.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
40.1b
(/.f64 6 (pow.f64 x 2))
15.4b
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
✓24.7b
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
✓38.2b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
28.4b
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
✓24.4b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
28.4b
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
15.4b
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
28.4b
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
✓24.5b
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
✓37.1b
(*.f64 (/.f64 1/2 x) x)
24.5b
(*.f64 (/.f64 -2 x) (/.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (cos.f64 x)))))
15.6b
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) x))
28.7b
(*.f64 x (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
15.7b
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))))
28.7b
(*.f64 1/2 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) (/.f64 1 x)))
✓28.3b
(*.f64 1/2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x))
28.3b
(*.f64 1/2 (*.f64 (*.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) x))
29.3b
(*.f64 1/2 (*.f64 (*.f64 x (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 x (*.f64 x x)))))
28.7b
(*.f64 1/2 (*.f64 (*.f64 x 4) (/.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
✓28.7b
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))))
15.4b
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
37.0b
1/2
Compiler

Compiled 439 to 319 computations (27.3% saved)

regimes91.0ms (0.7%)

Counts
46 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(*.f64 1/2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (*.f64 x 8))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (*.f64 x x))
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (*.f64 1/2 x)) (/.f64 x (/.f64 1 x)))))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))))
(*.f64 x (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) x))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -2 x) (/.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 x (/.f64 (/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 x x)) x)))
(*.f64 1/2 (*.f64 (*.f64 x (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 x (*.f64 x x)))))
(*.f64 1/2 (*.f64 (*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) x))
(*.f64 1/2 (/.f64 x (*.f64 x (/.f64 x (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(*.f64 1/2 (*.f64 x (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 x x))) 4)))
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 1 x)))))
(*.f64 1/2 (*.f64 (*.f64 x 4) (/.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 1/2 (*.f64 (/.f64 4 x) (*.f64 x (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))))
(*.f64 1/2 (/.f64 x (*.f64 x (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 1/2))))))
(*.f64 1/2 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 2 x) x)) (/.f64 1 x)))
(*.f64 1/2 (*.f64 x (*.f64 (*.f64 (/.f64 (/.f64 2 x) x) (/.f64 1/2 x)) (*.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 1/2 (*.f64 (*.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))) x))
(/.f64 (/.f64 (*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) 2)))
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
Calls

2 calls:

56.0ms
x
22.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 619 to 402 computations (35.1% saved)

bsearch126.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
106.0ms
6.0563923396560085e-5
13.776342562873573
19.0ms
-5.216746157961938
-2.1767962680396907e-7
Results
122.0ms288×body256valid
Compiler

Compiled 391 to 315 computations (19.4% saved)

regimes246.0ms (1.9%)

Counts
31 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(*.f64 1/2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (*.f64 x 8))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (*.f64 x x))
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (*.f64 1/2 x)) (/.f64 x (/.f64 1 x)))))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))))
(*.f64 x (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) x))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
Calls

2 calls:

226.0ms
x
12.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 355 to 233 computations (34.4% saved)

bsearch111.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
92.0ms
6.0563923396560085e-5
13.776342562873573
19.0ms
-5.216746157961938
-2.1767962680396907e-7
Results
107.0ms288×body256valid
Compiler

Compiled 373 to 297 computations (20.4% saved)

regimes125.0ms (1%)

Counts
24 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(*.f64 1/2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (*.f64 x 8))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (*.f64 x x))
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (*.f64 1/2 x)) (/.f64 x (/.f64 1 x)))))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))))
(*.f64 x (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) x))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

107.0ms
x
12.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 275 to 184 computations (33.1% saved)

bsearch40.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
6.0563923396560085e-5
13.776342562873573
18.0ms
-5.216746157961938
-2.1767962680396907e-7
Results
32.0ms288×body256valid
Compiler

Compiled 355 to 279 computations (21.4% saved)

regimes204.0ms (1.6%)

Counts
20 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(*.f64 1/2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (*.f64 x 8))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (*.f64 x x))
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (*.f64 1/2 x)) (/.f64 x (/.f64 1 x)))))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))))
(*.f64 x (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) x))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

129.0ms
x
70.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.5b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 238 to 163 computations (31.5% saved)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
6.0563923396560085e-5
13.776342562873573
19.0ms
-5.216746157961938
-2.1767962680396907e-7
Results
33.0ms288×body256valid
Compiler

Compiled 355 to 279 computations (21.4% saved)

regimes50.0ms (0.4%)

Counts
19 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(*.f64 1/2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) (*.f64 x 8))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))) (*.f64 x x))
(*.f64 1/2 (*.f64 x (/.f64 (*.f64 2 (*.f64 1/2 x)) (/.f64 x (/.f64 1 x)))))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))))
(*.f64 x (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) x))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
Outputs
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
15.3b1x
Compiler

Compiled 221 to 153 computations (30.8% saved)

regimes7.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(*.f64 1/2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
Outputs
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
15.4b1x
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes5.0ms (0%)

Accuracy

Total -1.5b remaining (-4.1%)

Threshold costs -1.5b (-4.1%)

Counts
4 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(*.f64 1/2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
Outputs
1/2
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
37.0b1x
Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050413
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
1/2
Outputs
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (*.f64 1/6 x))))
1/2
Compiler

Compiled 160 to 113 computations (29.4% saved)

soundness0.0ms (0%)

end149.0ms (1.1%)

Compiler

Compiled 154 to 104 computations (32.5% saved)

Profiling

Loading profile data...