Details

Time bar (total: 11.9s)

analyze90.0ms (0.8%)

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)

sample3.7s (31.1%)

Results
2.5s1980×body2048valid
410.0ms1152×body1024valid
363.0ms3402×body256valid
316.0ms1629×body512valid
114.0ms93×body4096valid
Bogosity

preprocess55.0ms (0.5%)

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)

simplify65.0ms (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
30.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.9b
(/.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
✓1.4b
(-.f64 1 (cos.f64 x))
✓13.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.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 (-.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))

rewrite58.0ms (0.5%)

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))))))

simplify195.0ms (1.6%)

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))

eval21.0ms (0.2%)

Compiler

Compiled 1309 to 769 computations (41.3% saved)

prune19.0ms (0.2%)

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
✓30.9b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶32.2b
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
▶32.3b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
▶30.3b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶30.7b
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
30.7b
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
35.2b
(*.f64 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
35.4b
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
▶30.3b
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
31.4b
1/2
Compiler

Compiled 205 to 148 computations (27.8% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
✓0.1b
(/.f64 (+.f64 (cos.f64 x) -1) x)
✓1.4b
(+.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)

rewrite813.0ms (6.8%)

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 (1.3%)

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))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
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))

rewrite369.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
3388×rational.json-simplify-35
2202×rational.json-simplify-51
1832×rational.json-simplify-2
1160×rational.json-simplify-1
1072×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
14513
29513
317913
431613
567613
6159913
7261913
8315013
9377113
10445213
11487013
12487013
13487013
14560213
15640413
16738313
17780113
18786013
19786013
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.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 (pow.f64 x 2) -2/3) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 4) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 4) 4) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 4) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 4)) 4096)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)))))

simplify587.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
6864×rational.json-simplify-43
4394×rational.json-simplify-35
1466×rational.json-simplify-2
1032×rational.json-simplify-1
684×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056234
1141234
2302234
3737234
41999234
53469234
64037234
74222234
84361234
94498234
104635234
114846234
124992234
134992234
145129234
155266234
165403234
175540234
185677234
195814234
205951234
216088234
226225234
236225234
246362234
Stop Event
1×node limit
Counts
18 → 19
Calls
Call 1
Inputs
(+.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 (pow.f64 x 2) -2/3) 16)
(/.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 32)
(/.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 64)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 128)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 4) 256)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 512)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 4) 4) 1024)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 4) 2048)
(/.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 4)) 4096)
(pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
Outputs
(+.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 (pow.f64 x 2) -2/3) 16)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 32)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 64)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 128)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 4) 256)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 512)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -2/3) 4) 4) 4) 1024)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 4) 2048)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) -1/3) 4) 4) 4) 4)) 4096)
(*.f64 -1/24 (pow.f64 x 2))
(pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(*.f64 -1/24 (pow.f64 x 2))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
✓0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.4b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 28 to 16 computations (42.9% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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))

rewrite87.0ms (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
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simplify141.0ms (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))
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(/.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))))
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(/.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))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
1.4b
(-.f64 1 (cos.f64 x))
✓13.9b
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite125.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1778×rational.json-1
1270×rational.json-2
1270×rational.json-3
1268×rational.json-4
1250×exponential.json-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01354
110054
223154
355736
4166436
5439236
6778136
Stop Event
1×node limit
Counts
2 → 238
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(*.f64 (/.f64 2 x) (/.f64 1/2 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 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 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 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 (/.f64 x (/.f64 1/2 x)) 2))))) (#(struct:change #<rule 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simplify127.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
976×rational.json-simplify-50
866×rational.json-simplify-49
790×rational.json-simplify-44
722×rational.json-simplify-61
708×rational.json-simplify-51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05095218
119605196
251275152
369745152
Stop Event
1×node limit
Counts
262 → 290
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 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
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(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 1 x))) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (/.f64 x -1/2)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 x -1/2) (/.f64 1 x)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 2 (/.f64 x (/.f64 -1 x))) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (neg.f64 (*.f64 2 (*.f64 x x))) -2))
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(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 x -1/2) (+.f64 (cos.f64 x) -1)))
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(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (+.f64 x x))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)) (/.f64 (*.f64 2 (*.f64 x x)) 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))))
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x (*.f64 x 4)) (*.f64 x 4)))
(/.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 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x 4)))
(/.f64 (/.f64 -1 x) (-.f64 0 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2) (*.f64 x (*.f64 x 1/2)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2) (/.f64 x (/.f64 2 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2) (*.f64 2 (/.f64 x (*.f64 2 (/.f64 2 x)))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2) (/.f64 (/.f64 x (/.f64 1 x)) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2) (/.f64 (*.f64 2 (/.f64 x (/.f64 1 x))) 4))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (*.f64 2 (/.f64 (*.f64 x -1/2) (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x (/.f64 -2 (+.f64 (cos.f64 x) -1))) 2))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 2 (*.f64 x (/.f64 -2 (+.f64 (cos.f64 x) -1)))) 4))
(/.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 x (/.f64 -2 (+.f64 (cos.f64 x) -1)))) -2))
(/.f64 (/.f64 -2 x) (neg.f64 (*.f64 x (/.f64 -2 (+.f64 (cos.f64 x) -1)))))
(/.f64 (/.f64 -1/2 x) (-.f64 0 (/.f64 (*.f64 x -1/2) (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 x (/.f64 x -1/2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (*.f64 x 4))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)) (/.f64 x -1/2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) x) 1/2)
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))) (*.f64 x -1/2))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) (neg.f64 (*.f64 2 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) (-.f64 0 (*.f64 2 (/.f64 x (/.f64 1 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2)) (-.f64 0 (*.f64 x (*.f64 x 1/2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2)) (-.f64 0 (/.f64 x (/.f64 2 x))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 x))) (-.f64 0 (*.f64 2 (*.f64 x (/.f64 -2 (+.f64 (cos.f64 x) -1))))))
(/.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 x 8))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4))) 16)
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (*.f64 (neg.f64 x) 4))
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x (*.f64 (neg.f64 x) 4)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x))) (/.f64 x -1/2))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (neg.f64 (*.f64 x 4)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2))) (+.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 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x)
(/.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x))) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))) (-.f64 0 (*.f64 (neg.f64 x) 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))) (+.f64 x 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 (neg.f64 (*.f64 x 4))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x -1/2)))) (/.f64 x -1/2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x))))) (*.f64 x -1/2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(+.f64 0 (/.f64 1 (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2))))
(+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 2 (*.f64 x (*.f64 x 4))) (/.f64 2 (*.f64 x (*.f64 x 4))))
(+.f64 (/.f64 (/.f64 2 x) (*.f64 x 4)) (/.f64 (/.f64 2 x) (*.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(-.f64 0 (/.f64 (/.f64 -1 x) x))
(-.f64 0 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2)))
(/.f64 1 (*.f64 x x))
(/.f64 1 (/.f64 x (/.f64 1 x)))
(/.f64 1 (-.f64 0 (*.f64 x (neg.f64 x))))
(/.f64 1 (-.f64 0 (/.f64 x (/.f64 -1 x))))
(/.f64 x (*.f64 x (*.f64 x x)))
(/.f64 2 (*.f64 2 (*.f64 x x)))
(/.f64 2 (*.f64 2 (/.f64 x (/.f64 1 x))))
(/.f64 2 (/.f64 (+.f64 x x) (/.f64 1 x)))
(/.f64 2 (/.f64 x (/.f64 1/2 x)))
(/.f64 2 (neg.f64 (*.f64 x (/.f64 x -1/2))))
(/.f64 2 (-.f64 0 (/.f64 (/.f64 x -1/2) (/.f64 1 x))))
(/.f64 (/.f64 2 x) (+.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 2 (*.f64 x x)) x))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 2 (*.f64 2 (*.f64 x 8))) 16))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 x (*.f64 2 (*.f64 x 8))) (*.f64 x 8)))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 2 (*.f64 (neg.f64 x) 4)) -4))
(/.f64 (/.f64 2 x) (/.f64 (neg.f64 (*.f64 x 8)) -4))
(/.f64 1/2 (*.f64 x (*.f64 x 1/2)))
(/.f64 1/2 (/.f64 x (/.f64 2 x)))
(/.f64 1/2 (-.f64 0 (*.f64 x (*.f64 x -1/2))))
(/.f64 (/.f64 1/2 x) (*.f64 x 1/2))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 x (*.f64 x 1/2)) x))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) (+.f64 x x)))
(/.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 4 (*.f64 x (*.f64 x 4)))
(/.f64 4 (/.f64 (/.f64 x -1/2) (/.f64 -1/2 x)))
(/.f64 4 (/.f64 (*.f64 x 4) (/.f64 1 x)))
(/.f64 4 (*.f64 2 (*.f64 2 (/.f64 x (/.f64 1 x)))))
(/.f64 4 (*.f64 2 (/.f64 (+.f64 x x) (/.f64 1 x))))
(/.f64 4 (*.f64 2 (/.f64 x (/.f64 1/2 x))))
(/.f64 4 (-.f64 0 (*.f64 x (*.f64 (neg.f64 x) 4))))
(/.f64 (+.f64 x x) (*.f64 2 (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 x) (-.f64 0 (*.f64 x (*.f64 x x))))
(/.f64 -1 (*.f64 x (neg.f64 x)))
(/.f64 -1 (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 1 x))))
(/.f64 (*.f64 2 (/.f64 1/2 x)) x)
(/.f64 (/.f64 (/.f64 2 x) x) 2)
(/.f64 (*.f64 2 (/.f64 2 x)) (*.f64 x 4))
(/.f64 8 (*.f64 x (*.f64 x 8)))
(/.f64 8 (*.f64 2 (/.f64 (/.f64 x -1/2) (/.f64 -1/2 x))))
(/.f64 8 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 1 x))))
(/.f64 -1/2 (*.f64 x (*.f64 x -1/2)))
(/.f64 -1/2 (-.f64 0 (*.f64 x (*.f64 x 1/2))))
(/.f64 -1/2 (-.f64 0 (/.f64 x (/.f64 2 x))))
(/.f64 -2 (*.f64 x (/.f64 x -1/2)))
(/.f64 -2 (/.f64 (/.f64 x -1/2) (/.f64 1 x)))
(/.f64 -2 (*.f64 2 (/.f64 x (/.f64 -1 x))))
(/.f64 -2 (neg.f64 (*.f64 2 (*.f64 x x))))
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 x (/.f64 1 x)))))
(/.f64 -2 (-.f64 0 (/.f64 (+.f64 x x) (/.f64 1 x))))
(/.f64 -2 (-.f64 0 (/.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (/.f64 2 x) (/.f64 2 x)) 4)
(/.f64 (*.f64 (/.f64 2 x) 4) (*.f64 x 8))
(/.f64 16 (*.f64 x (*.f64 2 (*.f64 x 8))))
(/.f64 -4 (*.f64 x (*.f64 (neg.f64 x) 4)))
(/.f64 -4 (*.f64 2 (/.f64 (/.f64 x -1/2) (/.f64 1 x))))
(/.f64 -4 (-.f64 0 (/.f64 (/.f64 x -1/2) (/.f64 -1/2 x))))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 x 4) (/.f64 1 x))))
(/.f64 (*.f64 (/.f64 1/2 x) 4) (+.f64 x x))
(/.f64 (/.f64 4 x) (*.f64 x 4))
(/.f64 (/.f64 -1 x) (neg.f64 x))
(/.f64 (/.f64 1 x) x)
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4)) (*.f64 x 4)))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 2 (*.f64 x 8))) (*.f64 2 (*.f64 x 8))))
(/.f64 (/.f64 -2 x) (/.f64 x -1/2))
(/.f64 (/.f64 -1/2 x) (*.f64 x -1/2))
(/.f64 (*.f64 2 (*.f64 (/.f64 1/2 x) 4)) (*.f64 x 4))
(/.f64 (*.f64 2 (/.f64 -1/2 x)) (neg.f64 x))
(/.f64 (*.f64 2 (*.f64 (/.f64 2 x) (/.f64 2 x))) 8)
(/.f64 (*.f64 2 (/.f64 4 x)) (*.f64 x 8))
(/.f64 (*.f64 2 (*.f64 (/.f64 2 x) 4)) (*.f64 2 (*.f64 x 8)))
(/.f64 32 (*.f64 2 (*.f64 x (*.f64 2 (*.f64 x 8)))))
(/.f64 -8 (*.f64 2 (*.f64 x (*.f64 (neg.f64 x) 4))))
(/.f64 -8 (neg.f64 (*.f64 x (*.f64 x 8))))
(/.f64 (*.f64 2 (/.f64 -2 x)) (*.f64 (neg.f64 x) 4))
(/.f64 (/.f64 (/.f64 -1 x) x) -1)
(/.f64 (/.f64 8 x) (*.f64 x 8))
(/.f64 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2)) -1)
(/.f64 (/.f64 x (*.f64 x 4)) (*.f64 x (*.f64 x 1/4)))
(/.f64 (/.f64 (/.f64 1/2 x) x) 1/2)
(/.f64 (/.f64 -1/2 (/.f64 x -1/2)) (/.f64 (*.f64 x (*.f64 x 1/4)) x))
(/.f64 (/.f64 -1/2 (/.f64 x -1/2)) (/.f64 (*.f64 x x) (*.f64 x 4)))
(/.f64 (/.f64 (/.f64 2 x) (*.f64 x 4)) 1/2)
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 x))) (neg.f64 (*.f64 x 4)))
(/.f64 (neg.f64 (/.f64 4 x)) (neg.f64 (*.f64 x 4)))
(/.f64 -16 (-.f64 0 (*.f64 x (*.f64 2 (*.f64 x 8)))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 x) (/.f64 2 x)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (/.f64 4 x))) (*.f64 2 (*.f64 x 8)))
(/.f64 (*.f64 2 (/.f64 8 x)) (*.f64 2 (*.f64 x 8)))
(/.f64 (*.f64 2 (/.f64 (/.f64 -1 x) x)) -2)
(/.f64 (*.f64 2 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2))) -2)
(/.f64 (*.f64 2 (/.f64 x (*.f64 x 4))) (*.f64 x (*.f64 x 1/2)))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (/.f64 2 x)))) (*.f64 2 (neg.f64 (*.f64 x 4))))
(/.f64 (*.f64 2 (neg.f64 (/.f64 4 x))) (*.f64 2 (neg.f64 (*.f64 x 4))))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 -2 x))) (*.f64 2 (*.f64 (neg.f64 x) 4)))
(/.f64 (neg.f64 (*.f64 (/.f64 2 x) 4)) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 1/2 x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 4 x))) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (/.f64 8 x)) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (/.f64 x (*.f64 x 4))) (neg.f64 (*.f64 x (*.f64 x 1/4))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 x)))) (*.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 x)))) (-.f64 0 (neg.f64 (*.f64 x 4))))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 x))) (*.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 x))) (-.f64 0 (neg.f64 (*.f64 x 4))))
(/.f64 (neg.f64 (*.f64 (/.f64 1/2 x) 4)) (/.f64 x -1/2))
(/.f64 (/.f64 2 (*.f64 x x)) 2)
(/.f64 (/.f64 4 (*.f64 x x)) 4)
(/.f64 (neg.f64 (*.f64 2 (/.f64 -2 x))) (-.f64 0 (*.f64 (neg.f64 x) 4)))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 2 x) 4))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 2 x) 4))) (*.f64 x 8))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 1/2 x) 4))) (neg.f64 (*.f64 x 4)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -1/2 x))) x)
(/.f64 (neg.f64 (*.f64 2 (*.f64 2 (/.f64 4 x)))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 8 x))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 x (*.f64 x 4)))) (-.f64 0 (*.f64 x (*.f64 x 1/2))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 1/2 x)))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 4 x)))) (*.f64 x 8))
(/.f64 (neg.f64 (neg.f64 (/.f64 8 x))) (*.f64 x 8))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (*.f64 x 4)))) (*.f64 x (*.f64 x 1/4)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 x))))) (neg.f64 (*.f64 x 4)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 4 x)))) (neg.f64 (*.f64 x 4)))
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 -1 x) x))
(neg.f64 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2)))
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 -1/24 (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 -1/24 (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 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (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 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 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 (-.f64 1 (cos.f64 x)) (*.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 (+.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 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 1/2 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 x -1/2) (/.f64 -1/2 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 x 4) (/.f64 1 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)) (neg.f64 (/.f64 x (/.f64 -1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (neg.f64 (*.f64 x (/.f64 x -1/2))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 2 (*.f64 2 (/.f64 x (/.f64 1 x)))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 2 (/.f64 x (/.f64 1/2 x))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (neg.f64 (/.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 (/.f64 x -1/2) (/.f64 -1/2 x))) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (/.f64 -1/2 (/.f64 x -1/2))) 1/4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (/.f64 x -1/2) (/.f64 -1/2 x)) 1/4))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 1 x))) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (/.f64 x -1/2)) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(-.f64 0 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2)))
(/.f64 1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(/.f64 1 (/.f64 x (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(/.f64 1 (-.f64 0 (*.f64 x (neg.f64 x))))
(/.f64 1 (*.f64 x x))
(/.f64 1 (-.f64 0 (/.f64 x (/.f64 -1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 x (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 x x) (*.f64 x x))
(/.f64 2 (*.f64 2 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(/.f64 2 (*.f64 2 (/.f64 x (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 2 (/.f64 (+.f64 x x) (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(/.f64 2 (/.f64 x (/.f64 1/2 x)))
(/.f64 1 (*.f64 x x))
(/.f64 2 (neg.f64 (*.f64 x (/.f64 x -1/2))))
(/.f64 1 (*.f64 x x))
(/.f64 2 (-.f64 0 (/.f64 (/.f64 x -1/2) (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 2 x) (+.f64 x x))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 2 (*.f64 x x)) x))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 2 (*.f64 2 (*.f64 x 8))) 16))
(/.f64 2 (*.f64 x (*.f64 (*.f64 x 16) 1/8)))
(/.f64 16 (/.f64 (*.f64 x 32) (/.f64 2 x)))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 x (*.f64 2 (*.f64 x 8))) (*.f64 x 8)))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (*.f64 2 (*.f64 (neg.f64 x) 4)) -4))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (neg.f64 (*.f64 x 8)) -4))
(/.f64 1 (*.f64 x x))
(/.f64 1/2 (*.f64 x (*.f64 x 1/2)))
(/.f64 1 (*.f64 x x))
(/.f64 1/2 (/.f64 x (/.f64 2 x)))
(/.f64 (/.f64 2 x) (/.f64 x 1/2))
(/.f64 1/2 (-.f64 0 (*.f64 x (*.f64 x -1/2))))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1/2 x) (*.f64 x 1/2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 x (*.f64 x 1/2)) x))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) (+.f64 x x)))
(/.f64 1/2 (*.f64 x (*.f64 x (/.f64 x (+.f64 x x)))))
(/.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 x x))))
(/.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(/.f64 4 (*.f64 x (*.f64 x 4)))
(/.f64 1 (*.f64 x x))
(/.f64 4 (/.f64 (/.f64 x -1/2) (/.f64 -1/2 x)))
(/.f64 1 (*.f64 x x))
(/.f64 4 (/.f64 (*.f64 x 4) (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(/.f64 4 (*.f64 2 (*.f64 2 (/.f64 x (/.f64 1 x)))))
(/.f64 1 (*.f64 x x))
(/.f64 4 (*.f64 2 (/.f64 (+.f64 x x) (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 4 (*.f64 2 (/.f64 x (/.f64 1/2 x))))
(/.f64 1 (*.f64 x x))
(/.f64 4 (-.f64 0 (*.f64 x (*.f64 (neg.f64 x) 4))))
(/.f64 1 (*.f64 x x))
(/.f64 (+.f64 x x) (*.f64 2 (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 x x) (*.f64 x x))
(/.f64 (neg.f64 x) (-.f64 0 (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 x x) (*.f64 x x))
(/.f64 -1 (*.f64 x (neg.f64 x)))
(/.f64 1 (*.f64 x x))
(/.f64 -1 (/.f64 x (/.f64 -1 x)))
(/.f64 1 (*.f64 x x))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 1/2 x)) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 2 x) x) 2)
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 2 x)) (*.f64 x 4))
(/.f64 1 (*.f64 x x))
(/.f64 8 (*.f64 x (*.f64 x 8)))
(/.f64 1 (*.f64 x x))
(/.f64 8 (*.f64 2 (/.f64 (/.f64 x -1/2) (/.f64 -1/2 x))))
(/.f64 1 (*.f64 x x))
(/.f64 8 (*.f64 2 (/.f64 (*.f64 x 4) (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 -1/2 (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (*.f64 x x))
(/.f64 -1/2 (-.f64 0 (*.f64 x (*.f64 x 1/2))))
(/.f64 1 (*.f64 x x))
(/.f64 -1/2 (-.f64 0 (/.f64 x (/.f64 2 x))))
(/.f64 (/.f64 2 x) (/.f64 x 1/2))
(/.f64 -2 (*.f64 x (/.f64 x -1/2)))
(/.f64 1 (*.f64 x x))
(/.f64 -2 (/.f64 (/.f64 x -1/2) (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(/.f64 -2 (*.f64 2 (/.f64 x (/.f64 -1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 -2 (neg.f64 (*.f64 2 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 x (/.f64 1 x)))))
(/.f64 1 (*.f64 x x))
(/.f64 -2 (-.f64 0 (/.f64 (+.f64 x x) (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 -2 (-.f64 0 (/.f64 x (/.f64 1/2 x))))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 (/.f64 2 x) (/.f64 2 x)) 4)
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 (/.f64 2 x) 4) (*.f64 x 8))
(/.f64 1 (*.f64 x x))
(/.f64 16 (*.f64 x (*.f64 2 (*.f64 x 8))))
(/.f64 1 (*.f64 x x))
(/.f64 -4 (*.f64 x (*.f64 (neg.f64 x) 4)))
(/.f64 1 (*.f64 x x))
(/.f64 -4 (*.f64 2 (/.f64 (/.f64 x -1/2) (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 -4 (-.f64 0 (/.f64 (/.f64 x -1/2) (/.f64 -1/2 x))))
(/.f64 1 (*.f64 x x))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 x 4) (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 (/.f64 1/2 x) 4) (+.f64 x x))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 4 x) (*.f64 x 4))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 -1 x) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4)) (*.f64 x 4)))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 2 (*.f64 x 8))) (*.f64 2 (*.f64 x 8))))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 -2 x) (/.f64 x -1/2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 -1/2 x) (*.f64 x -1/2))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 1/2 x) 4)) (*.f64 x 4))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 -1/2 x)) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 2 x) (/.f64 2 x))) 8)
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 4 x)) (*.f64 x 8))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 2 x) 4)) (*.f64 2 (*.f64 x 8)))
(/.f64 1 (*.f64 x x))
(/.f64 32 (*.f64 2 (*.f64 x (*.f64 2 (*.f64 x 8)))))
(/.f64 1 (*.f64 x x))
(/.f64 -8 (*.f64 2 (*.f64 x (*.f64 (neg.f64 x) 4))))
(/.f64 1 (*.f64 x x))
(/.f64 -8 (neg.f64 (*.f64 x (*.f64 x 8))))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 -2 x)) (*.f64 (neg.f64 x) 4))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 -1 x) x) -1)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 8 x) (*.f64 x 8))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2)) -1)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 x (*.f64 x 4)) (*.f64 x (*.f64 x 1/4)))
(/.f64 x (*.f64 (*.f64 x 4) (*.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 x (*.f64 x 4)) (/.f64 4 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 1/2 x) x) 1/2)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 -1/2 (/.f64 x -1/2)) (/.f64 (*.f64 x (*.f64 x 1/4)) x))
(/.f64 x (/.f64 (*.f64 x (*.f64 x 1/4)) (/.f64 -1/2 (/.f64 x -1/2))))
(/.f64 x (/.f64 (/.f64 x -1/2) (/.f64 -1/2 (*.f64 1/4 (*.f64 x x)))))
(/.f64 (/.f64 -1/2 (/.f64 x -1/2)) (*.f64 x 1/4))
(/.f64 (/.f64 -1/2 (/.f64 x -1/2)) (/.f64 (*.f64 x x) (*.f64 x 4)))
(/.f64 -1/2 (*.f64 (/.f64 x -1/2) (/.f64 (*.f64 x x) (*.f64 x 4))))
(/.f64 (/.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 x 4))) (/.f64 x -1/2))
(/.f64 -1/2 (/.f64 (/.f64 (*.f64 x x) (*.f64 x 4)) (/.f64 -1/2 x)))
(/.f64 (/.f64 (/.f64 2 x) (*.f64 x 4)) 1/2)
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 x))) (neg.f64 (*.f64 x 4)))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (/.f64 4 x)) (neg.f64 (*.f64 x 4)))
(/.f64 1 (*.f64 x x))
(/.f64 -16 (-.f64 0 (*.f64 x (*.f64 2 (*.f64 x 8)))))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 x) (/.f64 2 x)))) 16)
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 4 x))) (*.f64 2 (*.f64 x 8)))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 8 x)) (*.f64 2 (*.f64 x 8)))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (/.f64 -1 x) x)) -2)
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2))) -2)
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 x (*.f64 x 4))) (*.f64 x (*.f64 x 1/2)))
(/.f64 (/.f64 x (*.f64 x 4)) (*.f64 x (*.f64 x 1/4)))
(/.f64 x (*.f64 (*.f64 x 4) (*.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 x (*.f64 x 4)) (/.f64 4 (*.f64 x x)))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (/.f64 2 x)))) (*.f64 2 (neg.f64 (*.f64 x 4))))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (neg.f64 (/.f64 4 x))) (*.f64 2 (neg.f64 (*.f64 x 4))))
(/.f64 1 (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 -2 x))) (*.f64 2 (*.f64 (neg.f64 x) 4)))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 2 x) 4)) (neg.f64 (*.f64 x 8)))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 1/2 x))) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 4 x))) (neg.f64 (*.f64 x 8)))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (/.f64 8 x)) (neg.f64 (*.f64 x 8)))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (/.f64 x (*.f64 x 4))) (neg.f64 (*.f64 x (*.f64 x 1/4))))
(/.f64 (/.f64 x (*.f64 x 4)) (*.f64 x (*.f64 x 1/4)))
(/.f64 x (*.f64 (*.f64 x 4) (*.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 x (*.f64 x 4)) (/.f64 4 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 x)))) (*.f64 x 4))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 x)))) (-.f64 0 (neg.f64 (*.f64 x 4))))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 x))) (*.f64 x 4))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 x))) (-.f64 0 (neg.f64 (*.f64 x 4))))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 1/2 x) 4)) (/.f64 x -1/2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 2 (*.f64 x x)) 2)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 4 (*.f64 x x)) 4)
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -2 x))) (-.f64 0 (*.f64 (neg.f64 x) 4)))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 2 x) 4))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 2 x) 4))) (*.f64 x 8))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (/.f64 1/2 x) 4))) (neg.f64 (*.f64 x 4)))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -1/2 x))) x)
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (*.f64 2 (/.f64 4 x)))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 8 x))) (-.f64 0 (*.f64 2 (*.f64 x 8))))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 2 (/.f64 x (*.f64 x 4)))) (-.f64 0 (*.f64 x (*.f64 x 1/2))))
(/.f64 (/.f64 x (*.f64 x 4)) (*.f64 x (*.f64 x 1/4)))
(/.f64 x (*.f64 (*.f64 x 4) (*.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 x (*.f64 x 4)) (/.f64 4 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 1/2 x)))) x)
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 4 x)))) (*.f64 x 8))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 8 x))) (*.f64 x 8))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (*.f64 x 4)))) (*.f64 x (*.f64 x 1/4)))
(/.f64 (/.f64 x (*.f64 x 4)) (*.f64 x (*.f64 x 1/4)))
(/.f64 x (*.f64 (*.f64 x 4) (*.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 x (*.f64 x 4)) (/.f64 4 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 x))))) (neg.f64 (*.f64 x 4)))
(/.f64 1 (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 4 x)))) (neg.f64 (*.f64 x 4)))
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 1/2 x) (*.f64 x -1/2)))
(/.f64 1 (*.f64 x x))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/720 (pow.f64 x 4))
0.2b
(*.f64 -1/24 (pow.f64 x 2))
✓14.1b
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
Compiler

Compiled 47 to 38 computations (19.1% saved)

series1.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
0.0ms
x
@0
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
0.0ms
x
@inf
(*.f64 1/720 (pow.f64 x 4))
0.0ms
x
@0
(*.f64 1/720 (pow.f64 x 4))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))

rewrite256.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
2778×rational.json-simplify-35
1554×rational.json-simplify-1
1268×exponential.json-3
1268×rational.json-1
1268×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
17744
214244
326344
448144
5108644
6284144
7485644
8553844
9674344
10752844
11752844
12795744
13795744
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 4) 1/1440))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/180) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/90) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))))

simplify230.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
4400×rational.json-simplify-41
3414×rational.json-simplify-43
2184×rational.json-simplify-35
1308×rational.json-simplify-2
678×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921008
12051008
24021008
39261008
424011008
533411008
636731008
738561008
840001008
941181008
1042301008
1143391008
1244471008
1345551008
1445551008
Stop Event
1×node limit
Counts
42 → 42
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 1/720 (pow.f64 x 4))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 0)
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 4 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1/4))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)
(*.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)) 1/2)
(*.f64 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))) 1/4)
(*.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))) 1/8)
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)) 2)
(*.f64 1/4 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))))
(*.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1/4) 4)
(*.f64 1/8 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)) 2)
(/.f64 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))) 4)
(/.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))) 8)
(/.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))))) 256)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))))))) 512)
(pow.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)
(+.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 4) 1/1440))
(-.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(/.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(/.f64 (*.f64 (pow.f64 x 4) 1/360) 2)
(/.f64 (*.f64 (pow.f64 x 4) 1/180) 4)
(/.f64 (*.f64 (pow.f64 x 4) 1/90) 8)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))))) 256)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))))))) 512)
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
Outputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 1/720 (pow.f64 x 4))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 0)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 4 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1/4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)) 1/2)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))) 1/4)
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))) 1/8)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)) 2)
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 1/4 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))))
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1/4) 4)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/8 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)) 2)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (*.f64 8 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48))) 4)
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 2) -1/48)))
(/.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))) 8)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))) 16)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))) 32)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))) 64)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))))) 128)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))))) 256)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12))))))))) 512)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(pow.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(*.f64 1/720 (pow.f64 x 4))
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 4) 1/1440))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/360) 2)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/180) 4)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/90) 8)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)) 16)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))) 32)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))) 64)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))))) 128)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))))) 256)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/90))))))) 512)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))

eval452.0ms (3.8%)

Compiler

Compiled 12816 to 9039 computations (29.5% saved)

prune339.0ms (2.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New8407847
Fresh134
Picked011
Done325
Total84413857
Error
0.1b
Counts
857 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
30.3b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
▶30.3b
(/.f64 (/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x 8))
▶30.2b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓30.9b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶30.4b
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
✓32.2b
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
✓32.3b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
31.3b
(*.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)))))
▶31.5b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
▶35.2b
(*.f64 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
35.4b
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
31.4b
1/2
Compiler

Compiled 269 to 187 computations (30.5% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓0.1b
(/.f64 x (-.f64 1 (cos.f64 x)))
1.4b
(-.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 x (-.f64 1 (cos.f64 x)))
0.0ms
x
@-inf
(/.f64 x (-.f64 1 (cos.f64 x)))
0.0ms
x
@0
(/.f64 x (-.f64 1 (cos.f64 x)))
0.0ms
x
@inf
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
0.0ms
x
@0
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))

rewrite68.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1892×rational.json-simplify-35
1082×rational.json-simplify-2
1062×exponential.json-3
1062×rational.json-1
1062×rational.json-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01046
18940
229440
3103740
4334540
Stop Event
1×node limit
Counts
2 → 102
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 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 (/.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 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (-.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 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 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 (*.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 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(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 x 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 1 (*.f64 2 (+.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 1 (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))))) (#(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 x 1/2) (*.f64 2 (/.f64 1 (-.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))) 1/2) 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 (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)) 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 *.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x -2))))) (#(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 1/2 (-.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 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (/.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 (/.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 x (/.f64 2 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))))) (#(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 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 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 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.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 1/2 (*.f64 x x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))))) (#(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 1/2 x) (-.f64 1 (cos.f64 x))))))) (#(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)) 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 -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 1 (cos.f64 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 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (*.f64 x x) -2)))))) (#(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 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)) (/.f64 2 x)) (/.f64 1/2 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 -1 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 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 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (*.f64 x 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 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 2 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 (*.f64 x x)) (+.f64 (cos.f64 x) -1))))) (#(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 (-.f64 1 (cos.f64 x)) x) 1/2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 x x))) 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 (*.f64 x x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))))) (#(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 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (/.f64 1 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 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) x))))))

simplify129.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1264×rational.json-simplify-2
1122×rational.json-simplify-53
1108×rational.json-simplify-44
1090×rational.json-simplify-47
842×rational.json-simplify-35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02192604
14472604
211522592
345362574
477512574
Stop Event
1×node limit
Counts
118 → 129
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)))))
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 (/.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 (cos.f64 x) -1)))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 x (+.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(*.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 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 (*.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 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 (*.f64 x -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) 1/4)
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)
(*.f64 (*.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)
(*.f64 1/2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))
(*.f64 (*.f64 x 1/2) (*.f64 2 (/.f64 1 (-.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))) 1/2) 2)
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))
(*.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))
(*.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x -2))
(*.f64 1/4 (*.f64 (/.f64 x (-.f64 1 (cos.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 (cos.f64 x) -1)))
(neg.f64 (/.f64 1 (/.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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 x (/.f64 2 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))
(*.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 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(*.f64 2 (/.f64 (/.f64 1 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))
(*.f64 2 (/.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 x x))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(*.f64 2 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))
(*.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 1/2 x) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 -1 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (*.f64 x x) -2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 (/.f64 4 x) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 -1 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))
(*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (*.f64 x 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 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 2 x))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/2) (/.f64 2 x))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) 2)
(*.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) 2)
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) (+.f64 x x))
(*.f64 (/.f64 2 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) x)
(*.f64 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 x x))) 2)
(*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(*.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 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (/.f64 1 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 -1 (/.f64 x (-.f64 1 (cos.f64 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 x 1/6) (+.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5))) (*.f64 1/120 (pow.f64 x 3))))
(+.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 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 2 x) (+.f64 (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3))) (*.f64 1/3024 (pow.f64 x 5))))
(+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/3024 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (*.f64 1/120 (pow.f64 x 3)))))
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 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 (/.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 (cos.f64 x) -1)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 x (+.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (-.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 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(/.f64 x (-.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 (*.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 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.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 x 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(*.f64 x (*.f64 -2 (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 -2 (*.f64 x (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (*.f64 x -2))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) 1/4)
(/.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 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))
(/.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 x 1/2) (*.f64 2 (/.f64 1 (-.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 x (-.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))) 1/2) 2)
(/.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 1 (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(/.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 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x -2))
(*.f64 x (*.f64 -2 (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 -2 (*.f64 x (/.f64 1/2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (*.f64 x -2))
(*.f64 1/4 (*.f64 (/.f64 x (-.f64 1 (cos.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 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)))
(neg.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.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 x (/.f64 2 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))
(/.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 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 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 1 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.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 1/2 (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 1/2 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (*.f64 x x)))
(/.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 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.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 -1 x) (/.f64 x (-.f64 1 (cos.f64 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 1 (cos.f64 x)) (*.f64 4 (/.f64 1 (*.f64 x (*.f64 x 4)))))
(*.f64 4 (*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (*.f64 x x))))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (*.f64 x x) -2)))
(/.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 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)) (/.f64 2 x)) (/.f64 1/2 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 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 1 (*.f64 x x)) (*.f64 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 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (*.f64 x x)))
(/.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 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.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 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1/2 (*.f64 x 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)) x) 1/2) (/.f64 2 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 2 (*.f64 x (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) (/.f64 2 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 x x))) 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 4 (/.f64 1 (*.f64 x (*.f64 x 4)))))
(*.f64 4 (*.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (-.f64 1 (cos.f64 x))))
(*.f64 4 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(/.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 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (/.f64 1 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 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite78.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1492×rational.json-1
1492×rational.json-2
1492×rational.json-4
1492×rational.json-3
948×rational.json-simplify-35
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0819
16513
215413
333313
48381
535901
669031
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify14.0ms (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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
✓0.3b
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
1.4b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1404×rational.json-1
1404×rational.json-2
1404×rational.json-3
1402×rational.json-4
1384×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
18246
223046
365246
4223746
5538046
Stop Event
1×node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 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 1 (cos.f64 x)) (*.f64 x (neg.f64 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 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)) (*.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 1 (cos.f64 x)) (*.f64 x (neg.f64 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 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 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 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (cos.f64 x))))))) (#(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 -1 (/.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 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (/.f64 1 (*.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 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (neg.f64 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 (+.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 (*.f64 x x)) (-.f64 1 (cos.f64 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 (cos.f64 x)) (*.f64 x (neg.f64 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 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) 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)) 4) 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 4 (*.f64 x x))) (*.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 (neg.f64 x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/2 (*.f64 x x))) (-.f64 1 (cos.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 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.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 -1 (-.f64 1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x))) -1)))) (#(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 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 x 4))))) (#(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 (+.f64 (cos.f64 x) -1) x)))))))

simplify134.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1082×rational.json-simplify-53
1004×rational.json-simplify-41
908×rational.json-simplify-2
706×rational.json-simplify-55
612×rational.json-simplify-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01952846
13892834
28342826
324412826
444202826
576552826
Stop Event
1×node limit
Counts
118 → 127
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))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 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 (cos.f64 x)) (*.f64 x (neg.f64 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 x (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.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 (/.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 1 (cos.f64 x)) (*.f64 x (neg.f64 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 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x 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 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (*.f64 x x)))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 4 (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (/.f64 1 (*.f64 x 4)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (neg.f64 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 (+.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 (*.f64 x x)) (-.f64 1 (cos.f64 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 (cos.f64 x)) (*.f64 x (neg.f64 x))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 2 x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) 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)) 4) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))) 2)
(*.f64 (/.f64 1 (*.f64 4 (*.f64 x x))) (*.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 (neg.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 2 (/.f64 1/2 (*.f64 x x))) (-.f64 1 (cos.f64 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 1 (cos.f64 x)) (*.f64 x (neg.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 -1 (-.f64 1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x))))
(+.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(+.f64 (-.f64 1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x))) -1)
(-.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 0)
(-.f64 0 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 1 (*.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)))) 1)
(*.f64 (+.f64 x x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 2 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(*.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) x))
(*.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 1/2)
(*.f64 (neg.f64 x) (/.f64 x (+.f64 (cos.f64 x) -1)))
(*.f64 -1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (*.f64 x 4) (/.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))
(*.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)) 1/4)
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 1 x)))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 x 2))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 1 x)))
(*.f64 1/2 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x 2) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x (+.f64 x x)))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) 2)
(*.f64 1/4 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))
(*.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2) 2)
(*.f64 (/.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 x 4))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)
(neg.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) 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 -1/40320 (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 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))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 (pow.f64 x 2) 1/6)))
(+.f64 (*.f64 (pow.f64 x 2) 1/6) (+.f64 2 (*.f64 (pow.f64 x 4) 1/120)))
(+.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/6)) (*.f64 (pow.f64 x 4) 1/120))
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 4) 1/120)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 (pow.f64 x 6) 1/3024)) (*.f64 (pow.f64 x 2) 1/6)))
(+.f64 (*.f64 (pow.f64 x 2) 1/6) (+.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 (pow.f64 x 6) 1/3024))))
(+.f64 2 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 4) 1/120)) (*.f64 (pow.f64 x 6) 1/3024)))
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 (pow.f64 x 6) 1/3024))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.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 -1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 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 x (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.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 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 1 (cos.f64 x)) (*.f64 x (neg.f64 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 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 (/.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 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 x) 1/2))
(/.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 (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 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (*.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 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 4 (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (/.f64 1 (*.f64 x 4)))
(/.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 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1 x) (neg.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 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 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 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 1/2 (*.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.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 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 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 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 (-.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)) 4) x))
(/.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 1 (*.f64 4 (*.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.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 (neg.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1 x) (neg.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 2 (/.f64 1/2 (*.f64 x x))) (-.f64 1 (cos.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 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 0)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x 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 x) (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x))) -1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x 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 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(-.f64 0 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 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 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 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 x x) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 2 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 2 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 2 (*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) x))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))) 1/2)
(*.f64 1/2 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 1/2 (*.f64 (*.f64 x x) (/.f64 -2 (+.f64 (cos.f64 x) -1))))
(*.f64 (neg.f64 x) (/.f64 x (+.f64 (cos.f64 x) -1)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x 4) (/.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)))
(*.f64 x (*.f64 4 (/.f64 x (/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) 1))))
(*.f64 (*.f64 x 4) (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (*.f64 4 (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (*.f64 4 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))
(*.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)) 1/4)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 1 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 x 2))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 1/2 (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 1/2 (*.f64 (*.f64 x x) (/.f64 -2 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x 2) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x (+.f64 x x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) 2)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 1/4 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2) 2)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 x 4))
(*.f64 x (*.f64 4 (/.f64 x (/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) 1))))
(*.f64 (*.f64 x 4) (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (*.f64 4 (/.f64 1/4 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 x (*.f64 4 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))

localize17.0ms (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)))
✓0.1b
(/.f64 8 (/.f64 x (-.f64 1 (cos.f64 x))))
1.4b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 39 to 24 computations (38.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite74.0ms (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
01258
110652
237146
3153846
4459346
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 8 (/.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 (-.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)))))

simplify86.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1270×rational.json-simplify-61
1252×rational.json-simplify-2
1004×rational.json-simplify-55
792×rational.json-simplify-35
774×rational.json-simplify-51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01622091
13342091
26682067
315772067
441102067
Stop Event
1×node limit
Counts
85 → 88
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))
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 (-.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 1/90 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))))
(+.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 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 4 x) (*.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 4 x) (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (+.f64 (*.f64 4 x) (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.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))
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 -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 1/2 (*.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 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))
(*.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 1 (cos.f64 x)) (/.f64 8 x))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.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 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)))
(*.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 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x 1/4)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x 1/4)) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 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 (-.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 -1 (*.f64 x 1/8)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.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 8 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.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 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 8 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (/.f64 1 (*.f64 x 1/4)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(*.f64 (/.f64 -1 (*.f64 x 1/8)) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.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 (-.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 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 8 x) (/.f64 1/8 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (/.f64 1/8 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x)) (*.f64 1/8 (/.f64 1 x)))
(*.f64 1/8 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))
(*.f64 (/.f64 8 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/8 (/.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 8 x) 1/8))
(*.f64 (/.f64 8 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/8))
(*.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 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 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 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 x 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 x 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 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 1/8 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))
(*.f64 (/.f64 8 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/8 (/.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 8 x) 1/8))
(*.f64 (/.f64 8 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/8))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 x (/.f64 -1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 (/.f64 x (/.f64 -1 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 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 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/8 x)) (/.f64 8 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 8 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/8 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 8 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 x)))
(*.f64 1/8 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))
(*.f64 (/.f64 8 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/8 (/.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 8 x) 1/8))
(*.f64 (/.f64 8 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/8))
(*.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 1/8 (*.f64 (/.f64 1 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 x))))
(*.f64 (/.f64 8 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/8 (/.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (/.f64 8 x) 1/8))
(*.f64 (/.f64 8 x) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1/8))
(*.f64 (/.f64 1/8 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8 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 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 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 x x))
(*.f64 (/.f64 1 (/.f64 x (/.f64 -1 x))) (+.f64 (cos.f64 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))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.4b
(-.f64 1 (cos.f64 x))
✓4.6b
(*.f64 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
✓29.6b
(/.f64 x (*.f64 x x))
Compiler

Compiled 61 to 25 computations (59% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite92.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1774×rational.json-1
1774×rational.json-2
1774×rational.json-3
1772×exponential.json-3
1772×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01360
111160
238330
3188730
4529130
Stop Event
1×node limit
Counts
2 → 111
Calls
Call 1
Inputs
(/.f64 x (*.f64 x x))
(*.f64 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 -1 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 -1 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(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 x (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (neg.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 x (*.f64 x (neg.f64 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simplify130.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1334×rational.json-simplify-43
978×rational.json-simplify-1
902×rational.json-simplify-2
840×rational.json-simplify-50
840×rational.json-simplify-35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02632645
18812627
228812603
356402591
478552591
Stop Event
1×node limit
Counts
135 → 128
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 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 0 (/.f64 1 x))
(+.f64 (/.f64 1 x) 0)
(-.f64 0 (neg.f64 (/.f64 1 x)))
(-.f64 (/.f64 1 x) 0)
(*.f64 x (/.f64 1 (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(*.f64 1 (/.f64 1 x))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) 2)))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) 2)) 1))
(*.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 (*.f64 x x))))
(*.f64 (*.f64 2 (/.f64 1 x)) 1/2)
(*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x x)))
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(*.f64 -1 (neg.f64 (/.f64 1 x)))
(*.f64 -1 (/.f64 x (*.f64 x (neg.f64 x))))
(*.f64 -1 (*.f64 (/.f64 x (*.f64 x (neg.f64 x))) 1))
(*.f64 (fabs.f64 x) (*.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 x) 1)
(*.f64 (/.f64 1 (*.f64 x x)) x)
(*.f64 (neg.f64 (/.f64 1 x)) -1)
(*.f64 (/.f64 x (*.f64 x (neg.f64 x))) -1)
(*.f64 1/2 (*.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) 2)) (+.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 x))
(pow.f64 (/.f64 1 x) 1)
(neg.f64 (neg.f64 (/.f64 1 x)))
(neg.f64 (/.f64 x (*.f64 x (neg.f64 x))))
(neg.f64 (/.f64 -1 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 x (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 x (/.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) x))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 2 (/.f64 1 x))))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 x (/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (neg.f64 x))) (neg.f64 x)))
(/.f64 x (/.f64 (*.f64 x (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (neg.f64 x)))
(/.f64 x (/.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) -1))
(/.f64 x (/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (*.f64 x x) 4)) (*.f64 x 4)))
(/.f64 x (/.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (/.f64 1 x))))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 0 (neg.f64 (/.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 0 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 -1 (*.f64 x (neg.f64 x))) x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 x x) (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 x x) 2))
(/.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 2 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(/.f64 2 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 2 (/.f64 (*.f64 (*.f64 x x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 2 (+.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))))
(/.f64 (neg.f64 x) (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 2) (*.f64 2 (/.f64 1 x)))
(/.f64 (*.f64 (/.f64 1 x) 4) (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 4 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 4))
(/.f64 4 (+.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 4 (+.f64 (/.f64 (*.f64 (*.f64 x x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (*.f64 x x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x 4) (+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (*.f64 x 4))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (*.f64 x x) 4))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 -1 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 1 x)) (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (*.f64 2 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x -2) (+.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))))
(/.f64 (*.f64 x -2) (+.f64 (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(/.f64 (*.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 x -2))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (*.f64 2 (*.f64 x 4)))
(/.f64 (*.f64 2 (neg.f64 (/.f64 1 x))) (+.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 -2 (*.f64 2 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 -2 (neg.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 2 (*.f64 (*.f64 x x) 4)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 2 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 x (neg.f64 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (/.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (*.f64 x 4))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x))
(/.f64 (/.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 (*.f64 x x) 2)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (neg.f64 (+.f64 x x)))
(/.f64 (+.f64 (/.f64 x (neg.f64 x)) (/.f64 x (neg.f64 x))) (*.f64 2 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (+.f64 (/.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (/.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (*.f64 x -2))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 2 (*.f64 x 4)))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 (+.f64 (cos.f64 x) -1) x)) (*.f64 x -2))
(/.f64 (neg.f64 (/.f64 x (neg.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (neg.f64 (/.f64 x (neg.f64 x))) (-.f64 0 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (-.f64 0 (*.f64 x 4)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (-.f64 0 (*.f64 x 4)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 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 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 0 (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) 0)
(/.f64 1 x)
(-.f64 0 (neg.f64 (/.f64 1 x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 0)
(/.f64 1 x)
(*.f64 x (/.f64 1 (*.f64 x x)))
(/.f64 1 x)
(*.f64 (*.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(/.f64 1 x)
(*.f64 1 (/.f64 1 x))
(/.f64 1 x)
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) 2)))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 2 (*.f64 x x))))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 x x)) x))
(*.f64 2 (/.f64 x (*.f64 2 (*.f64 x x))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) 2)) 1))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 2 (*.f64 x x))))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 x x)) x))
(*.f64 2 (/.f64 x (*.f64 2 (*.f64 x x))))
(*.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 (*.f64 x x))))
(/.f64 1 x)
(*.f64 (*.f64 2 (/.f64 1 x)) 1/2)
(/.f64 1 x)
(*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x x)))
(/.f64 1 x)
(*.f64 (neg.f64 x) (*.f64 (/.f64 -1 (*.f64 x x)) 1))
(/.f64 1 x)
(*.f64 (neg.f64 x) (*.f64 -1 (/.f64 1 (*.f64 x x))))
(/.f64 1 x)
(*.f64 -1 (neg.f64 (/.f64 1 x)))
(/.f64 1 x)
(*.f64 -1 (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 1 x)
(*.f64 -1 (*.f64 (/.f64 x (*.f64 x (neg.f64 x))) 1))
(/.f64 1 x)
(*.f64 (fabs.f64 x) (*.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (*.f64 x x))))
(*.f64 (/.f64 x (fabs.f64 x)) (*.f64 (/.f64 1 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x))))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(*.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(*.f64 (/.f64 1 (*.f64 x x)) x)
(/.f64 1 x)
(*.f64 (neg.f64 (/.f64 1 x)) -1)
(/.f64 1 x)
(*.f64 (/.f64 x (*.f64 x (neg.f64 x))) -1)
(/.f64 1 x)
(*.f64 1/2 (*.f64 2 (/.f64 1 x)))
(/.f64 1 x)
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) 2)) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 2 (*.f64 x x))))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 x x)) x))
(*.f64 2 (/.f64 x (*.f64 2 (*.f64 x x))))
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 x))
(/.f64 1 x)
(pow.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(neg.f64 (neg.f64 (/.f64 1 x)))
(/.f64 1 x)
(neg.f64 (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 1 x)
(neg.f64 (/.f64 -1 x))
(/.f64 1 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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 2 (/.f64 1 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (neg.f64 x))) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (*.f64 x (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (*.f64 x x) 4)) (*.f64 x 4)))
(/.f64 x (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x 4))))
(*.f64 x (/.f64 4 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (*.f64 x 4)) x))))
(*.f64 x (/.f64 4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 4)))))
(*.f64 4 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 4)))))
(/.f64 x (/.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (/.f64 1 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 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (-.f64 0 (neg.f64 (/.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 1 (cos.f64 x)) (-.f64 0 (*.f64 x (neg.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 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 -1 (*.f64 x (neg.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 x x) (*.f64 (/.f64 x (/.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 2 x)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 x x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (/.f64 (*.f64 (*.f64 x x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (+.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 x) (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 2) (*.f64 2 (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) 4) (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (+.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (+.f64 (/.f64 (*.f64 (*.f64 x x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (*.f64 x x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 x 4) (+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x))))
(/.f64 x (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x 4))))
(*.f64 x (/.f64 4 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (*.f64 x 4)) x))))
(*.f64 x (/.f64 4 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 4)))))
(*.f64 4 (/.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x 4)))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (*.f64 x x) 4))
(/.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 (*.f64 -1 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 x 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 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 1 x)) (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 x (-.f64 1 (cos.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 (cos.f64 x) -1) (*.f64 x (neg.f64 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 2 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 x -2) (+.f64 (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) (*.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 x -2) (+.f64 (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (*.f64 2 (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (neg.f64 (/.f64 1 x))) (+.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -2 (*.f64 2 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -2 (neg.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))
(/.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 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 2 (*.f64 (*.f64 x x) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 2 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 x (neg.f64 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)
(/.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 (cos.f64 x) -1) x) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 (*.f64 x x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (neg.f64 (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 x (neg.f64 x)) (/.f64 x (neg.f64 x))) (*.f64 2 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))) (/.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x)) (*.f64 2 (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 (+.f64 (cos.f64 x) -1) x)) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 x (neg.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 x (neg.f64 x))) (-.f64 0 (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (-.f64 0 (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.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))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval193.0ms (1.6%)

Compiler

Compiled 11489 to 7476 computations (34.9% saved)

prune226.0ms (1.9%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New73710747
Fresh055
Picked101
Done167
Total73921760
Error
0.1b
Counts
760 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.7b
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
▶30.3b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
▶31.5b
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
12.7b
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
✓30.2b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
▶14.0b
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))
▶12.6b
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
30.3b
(/.f64 (/.f64 1 x) (neg.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))))
✓30.9b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
37.8b
(/.f64 x (/.f64 (*.f64 x (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (neg.f64 x)))
✓30.4b
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
✓32.2b
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
✓32.3b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
31.3b
(*.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)))))
✓31.5b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
28.4b
(*.f64 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
34.8b
(*.f64 x (/.f64 (/.f64 1 x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
35.4b
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
53.0b
(*.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
30.3b
(neg.f64 (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) x))
31.4b
1/2
Compiler

Compiled 485 to 339 computations (30.1% saved)

localize76.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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
2 → 24
Calls

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

rewrite83.0ms (0.7%)

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
01138
19238
224538
368238
4222538
5578738
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(*.f64 x 1/6)
(/.f64 (/.f64 1 x) (+.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))))))

simplify83.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1712×rational.json-simplify-35
1364×rational.json-simplify-2
1252×rational.json-simplify-51
912×rational.json-simplify-53
702×rational.json-simplify-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01402608
12942608
26362608
318882068
449552068
Stop Event
1×node limit
Counts
76 → 78
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 (*.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))
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 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 1/288 (pow.f64 x 4)) (*.f64 -1/3456 (pow.f64 x 6)))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (+.f64 1/2 (*.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 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 (*.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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(+.f64 0 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.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 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 0)
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 x (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x 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 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(+.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 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 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 (/.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 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 2 (*.f64 (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 1 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 2 (*.f64 x (+.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 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))))
(+.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 2 (*.f64 x (+.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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1)
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x 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 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2)
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 -1 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 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 2 (*.f64 x (+.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 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 1/2 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 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 2 (*.f64 x (+.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 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 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 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 x x)) (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x) -1)
(+.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 2 (*.f64 x (+.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 (/.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 2 (*.f64 x (+.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 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(+.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 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 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 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 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 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))) (/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 2 (*.f64 x (+.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 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 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 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 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 2 x)))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) 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 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/3) (/.f64 4 x)))

localize12.0ms (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))

rewrite115.0ms (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)))))))

simplify344.0ms (2.9%)

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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.4b
(-.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)

rewrite78.0ms (0.7%)

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)))))))

simplify114.0ms (1%)

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))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 1 x) x)
✓0.2b
(/.f64 1 (-.f64 1 (cos.f64 x)))
1.4b
(-.f64 1 (cos.f64 x))
✓13.9b
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

series1.0ms (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 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
0.0ms
x
@-inf
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))

rewrite83.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1462×exponential.json-3
1462×rational.json-1
1462×rational.json-2
1462×rational.json-4
1462×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01165
110153
236353
3143653
4472053
Stop Event
1×node limit
Counts
3 → 140
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 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 (/.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 x (/.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 2 (*.f64 x (*.f64 x (*.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 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1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1/2 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 4 (/.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 x x) (/.f64 2 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 2 (*.f64 x (*.f64 x (*.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 (/.f64 1 x) x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 x) x) 4) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.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)) 4) (/.f64 1 (/.f64 4 (/.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 2 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 (neg.f64 x) (/.f64 1/2 x))))))) (#(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 1 (cos.f64 x)) 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simplify116.0ms (1%)

Algorithm
1×egg-herbie
Rules
1564×rational.json-simplify-49
1100×rational.json-simplify-2
1042×rational.json-simplify-39
970×rational.json-simplify-19
538×rational.json-simplify-35
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03214060
18223972
225583886
364713886
Stop Event
1×node limit
Counts
168 → 215
Calls
Call 1
Inputs
1/2
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(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) 1/2)
(*.f64 2 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) 1/4)
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1/2 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(+.f64 (/.f64 (/.f64 1 x) x) 0)
(+.f64 0 (/.f64 (/.f64 1 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (/.f64 1 x) x) 1/2) (*.f64 (/.f64 (/.f64 1 x) x) 1/2))
(-.f64 (/.f64 (/.f64 1 x) x) 0)
(-.f64 0 (/.f64 (/.f64 -1 x) x))
(*.f64 1 (/.f64 (/.f64 1 x) x))
(*.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (/.f64 2 (*.f64 (+.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) 1)
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) 2) (/.f64 1/2 x))
(*.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1/2 x) 1))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (+.f64 x x) (*.f64 x x))))
(*.f64 (+.f64 x x) (/.f64 x (*.f64 2 (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 2 x)) 1/2)
(*.f64 2 (/.f64 1/2 (*.f64 x x)))
(*.f64 2 (*.f64 (/.f64 (/.f64 1 x) x) 1/2))
(*.f64 2 (/.f64 x (*.f64 (+.f64 x x) (*.f64 x x))))
(*.f64 (*.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (/.f64 2 (*.f64 2 (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 -1 (/.f64 (/.f64 -1 x) x))
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (*.f64 2 (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 (/.f64 1 x) x) 4) 1/4)
(*.f64 (*.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(*.f64 (/.f64 (/.f64 -1 x) x) -1)
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(*.f64 (fabs.f64 x) (/.f64 (/.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x)))
(*.f64 (/.f64 2 (*.f64 x x)) (*.f64 x (/.f64 1/2 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (+.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) 2))
(*.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 1 x)))
(*.f64 (*.f64 2 (fabs.f64 (/.f64 1 x))) (fabs.f64 (/.f64 1/2 x)))
(pow.f64 (/.f64 (/.f64 1 x) x) 1)
(neg.f64 (/.f64 (/.f64 -1 x) x))
(fabs.f64 (/.f64 (/.f64 1 x) x))
(fabs.f64 (/.f64 (/.f64 -1 x) x))
(fabs.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(fabs.f64 (*.f64 (/.f64 1 x) (fabs.f64 (/.f64 1 x))))
(fabs.f64 (*.f64 (/.f64 -1 x) (fabs.f64 (/.f64 1 x))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 1 x)) (/.f64 1 x)))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 1 x)) (/.f64 -1 x)))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 x) -2) (/.f64 1/2 x)))
(fabs.f64 (*.f64 (*.f64 2 (fabs.f64 (/.f64 1 x))) (/.f64 1/2 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 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 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (+.f64 1/2 (*.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 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 (*.f64 (pow.f64 x 2) 1/120) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 4) 1/3024) 1/6)))
(+.f64 1/6 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 4) 1/3024) (*.f64 (pow.f64 x 2) 1/120))))
(+.f64 1/6 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 2) 1/120) (*.f64 (pow.f64 x 4) 1/3024))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (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 (/.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))
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(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(*.f64 x (/.f64 (/.f64 2 x) (*.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 x (/.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 2 (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 x (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 2 x))))
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(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x (/.f64 1 (*.f64 x x))))
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(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
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(*.f64 (*.f64 (/.f64 1 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) 2) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) 2) (/.f64 (/.f64 1 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
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(*.f64 (+.f64 x x) (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2) x))
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(*.f64 (+.f64 x x) (/.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 x x))) (/.f64 x (-.f64 1 (cos.f64 x))))))
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(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/2 x) (/.f64 2 x)))
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(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 2 x))))
(*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 2 x)) (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))))
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(*.f64 2 (/.f64 (/.f64 x x) (*.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (/.f64 (/.f64 x x) (*.f64 (/.f64 -2 (+.f64 (cos.f64 x) -1)) (*.f64 x x))))
(*.f64 2 (/.f64 (/.f64 x x) (*.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (/.f64 (/.f64 1 x) 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 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 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (/.f64 1 x) x) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1/2 (*.f64 x x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (/.f64 4 (/.f64 (/.f64 1 x) x))))
(/.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))
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(*.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
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(*.f64 -1 (/.f64 (/.f64 (/.f64 1 x) x) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(*.f64 -1 (/.f64 (/.f64 1 x) (*.f64 x (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -1 (*.f64 x x)) 1))
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(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (/.f64 (neg.f64 x) (/.f64 1/2 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1/2 x) (/.f64 (neg.f64 x) 2)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 (*.f64 x (/.f64 x -2))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1/2 x) (*.f64 x -1/2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
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(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 2 (*.f64 x (*.f64 x (*.f64 x x)))))))
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(*.f64 x (*.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (*.f64 x x) (*.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))))
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(*.f64 (*.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 4))))
(*.f64 (*.f64 4 (/.f64 1 x)) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x 4))))
(*.f64 (/.f64 1 x) (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (*.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 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (/.f64 4 (/.f64 (/.f64 1 x) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 2 (*.f64 x (neg.f64 x)))))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1/2 (*.f64 x (neg.f64 x))))
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 (*.f64 x (neg.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 2 (/.f64 (/.f64 -1/2 x) x)))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 (neg.f64 x) (/.f64 1/2 x))))
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1/2 (*.f64 x (neg.f64 x))))
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 (*.f64 x (neg.f64 x)))))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 2 (/.f64 (/.f64 -1/2 x) x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/2 x) (/.f64 2 x)))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/2 x) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(/.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 x)) (/.f64 x (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 (/.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 (/.f64 x x))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (*.f64 (/.f64 1 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/2 x) (/.f64 2 x)))
(*.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 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 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1/2 x) (/.f64 2 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))
(+.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 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))
(/.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 (cos.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.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 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) 1/2)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 2 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 4) 1/4)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (+.f64 (cos.f64 x) -1))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -1/2) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 1/2 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 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)))
(+.f64 (/.f64 (/.f64 1 x) x) 0)
(/.f64 1 (*.f64 x x))
(+.f64 0 (/.f64 (/.f64 1 x) x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) x)))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/2 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 (/.f64 (/.f64 1 x) x) 1/2) (*.f64 (/.f64 (/.f64 1 x) x) 1/2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 (/.f64 1 x) x) 0)
(/.f64 1 (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(*.f64 1 (/.f64 (/.f64 1 x) x))
(/.f64 1 (*.f64 x x))
(*.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (/.f64 1 (*.f64 x (*.f64 x x))))
(*.f64 x (/.f64 2 (*.f64 (+.f64 x x) (*.f64 x x))))
(*.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (/.f64 1 (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) 1)
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x x))
(/.f64 1 (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) 2) (/.f64 1/2 x))
(/.f64 1 (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1/2 x) 1))
(/.f64 1 (*.f64 x x))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (+.f64 x x) (*.f64 x x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) (*.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (*.f64 x (*.f64 x x))))
(*.f64 (+.f64 x x) (/.f64 x (*.f64 2 (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1 (*.f64 x (*.f64 x x))) 2))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 2 x)) 1/2)
(*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 2 x)))
(*.f64 2 (/.f64 1/2 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 (/.f64 1 x) x) 1/2))
(/.f64 1 (*.f64 x x))
(*.f64 2 (/.f64 x (*.f64 (+.f64 x x) (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 1 (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 2 (*.f64 2 (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 1 (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (*.f64 2 (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 1/2 (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (+.f64 x x) (/.f64 1/2 (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (+.f64 x x) (/.f64 1/2 (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (/.f64 1 x) x) 4) 1/4)
(/.f64 1 (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 x 4)))
(*.f64 (*.f64 4 (/.f64 1 x)) (/.f64 (/.f64 1 x) 4))
(*.f64 4 (*.f64 (/.f64 1 x) (/.f64 1/4 x)))
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(*.f64 (/.f64 1/2 x) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 -1 x) x) -1)
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(*.f64 (fabs.f64 x) (/.f64 (/.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x)))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 2 (*.f64 x x)) (*.f64 x (/.f64 1/2 x)))
(*.f64 x (*.f64 (/.f64 1/2 x) (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 2 (*.f64 x x)) x))
(*.f64 (*.f64 x 1/2) (/.f64 (+.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 1 (*.f64 x x))
(*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 1 x) 2))
(/.f64 1 (*.f64 x x))
(*.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(*.f64 (*.f64 2 (fabs.f64 (/.f64 1 x))) (fabs.f64 (/.f64 1/2 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 (/.f64 1 x) x) 1)
(/.f64 1 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 1 x) x))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 1 (*.f64 x x))
(fabs.f64 (*.f64 (/.f64 1 x) (fabs.f64 (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(fabs.f64 (*.f64 (/.f64 -1 x) (fabs.f64 (/.f64 1 x))))
(/.f64 1 (*.f64 x x))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 1 x)) (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 1 x)) (/.f64 -1 x)))
(/.f64 1 (*.f64 x x))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 x) -2) (/.f64 1/2 x)))
(/.f64 1 (*.f64 x x))
(fabs.f64 (*.f64 (*.f64 2 (fabs.f64 (/.f64 1 x))) (/.f64 1/2 x)))
(/.f64 1 (*.f64 x x))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))
✓0.1b
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))
✓0.1b
(*.f64 1/120 (pow.f64 x 3))
0.3b
(*.f64 x 1/6)
Compiler

Compiled 63 to 48 computations (23.8% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 1/120 (pow.f64 x 3))
0.0ms
x
@inf
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))
0.0ms
x
@inf
(*.f64 1/120 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 1/120 (pow.f64 x 3))
0.0ms
x
@-inf
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))

rewrite89.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1604×rational.json-1
1604×rational.json-2
1604×rational.json-4
1604×rational.json-3
1586×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01687
112687
230787
383087
4265087
5637687
Stop Event
1×node limit
Counts
3 → 65
Calls
Call 1
Inputs
(*.f64 1/120 (pow.f64 x 3))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))
(+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/120 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/120 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/120 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/120 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/60) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/30) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/30)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/30)) (*.f64 2 (*.f64 (pow.f64 x 3) 1/30))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/120 (pow.f64 x 3)) 1)))))
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simplify218.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1544×rational.json-simplify-35
1532×rational.json-simplify-54
1074×rational.json-simplify-53
754×rational.json-simplify-41
732×rational.json-simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01703431
13513431
27483431
321083431
459203431
Stop Event
1×node limit
Counts
89 → 108
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 1/17280 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 120 (pow.f64 x 4))
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(/.f64 120 (pow.f64 x 4))
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(*.f64 1/6 x)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(*.f64 1/120 (pow.f64 x 3))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(*.f64 1/120 (pow.f64 x 3))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/120 (pow.f64 x 3)))
(-.f64 (*.f64 1/120 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/120 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/60) 2)
(/.f64 (*.f64 (pow.f64 x 3) 1/30) 4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/30)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/30)) (*.f64 2 (*.f64 (pow.f64 x 3) 1/30))) 16)
(pow.f64 (*.f64 1/120 (pow.f64 x 3)) 1)
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(*.f64 (/.f64 2 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 1/2)
(*.f64 (/.f64 4 x) (/.f64 1 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) 4)))
(*.f64 (/.f64 2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (/.f64 2 (*.f64 x 4)))
(*.f64 -1 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(*.f64 -1 (/.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) x))
(*.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(*.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (/.f64 -1 x))
(*.f64 (/.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (/.f64 1 (*.f64 x x)))
(*.f64 1/2 (/.f64 2 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))))
(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 (*.f64 x 1/2) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(*.f64 (/.f64 1/2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (/.f64 2 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) 1/2) (/.f64 2 x))
(*.f64 (/.f64 2 (*.f64 x 4)) (/.f64 2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) -1)
(*.f64 (/.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) x) -1)
(*.f64 (/.f64 (/.f64 1 x) (*.f64 2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 2)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))) 2)
(*.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))) (+.f64 x x))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))) x)
(*.f64 (/.f64 (*.f64 x 1/2) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) 4)) (/.f64 4 x))
(pow.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 1)
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(neg.f64 (/.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) x))
(-.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 0)
(*.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))
(*.f64 2 (/.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 2))
(*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 1)
(*.f64 (*.f64 2 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) 1/2)
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(*.f64 (/.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 2) 2)
(/.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 1)
(/.f64 (*.f64 2 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 4))) 16)
(pow.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 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 (*.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 1/17280 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (*.f64 1/17280 (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 1/17280 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/17280 (pow.f64 x 6)))))
(/.f64 120 (pow.f64 x 4))
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (-.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) (*.f64 19200 (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(+.f64 (+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 19200 (/.f64 1 (pow.f64 x 8)))) (-.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (-.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 192000 (/.f64 1 (pow.f64 x 10)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (-.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))))
(/.f64 120 (pow.f64 x 4))
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (-.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))) (*.f64 19200 (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 120 (/.f64 1 (pow.f64 x 4))))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))
(+.f64 (+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 19200 (/.f64 1 (pow.f64 x 8)))) (-.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (-.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (*.f64 192000 (/.f64 1 (pow.f64 x 10)))) (*.f64 2400 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 120 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 8))) (-.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 10))) (*.f64 2400 (/.f64 1 (pow.f64 x 6))))))
(*.f64 1/6 x)
(*.f64 x 1/6)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(*.f64 1/120 (pow.f64 x 3))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(*.f64 1/120 (pow.f64 x 3))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 1/6 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) 0)
(*.f64 1/120 (pow.f64 x 3))
(+.f64 0 (*.f64 1/120 (pow.f64 x 3)))
(*.f64 1/120 (pow.f64 x 3))
(-.f64 (*.f64 1/120 (pow.f64 x 3)) 0)
(*.f64 1/120 (pow.f64 x 3))
(/.f64 (*.f64 1/120 (pow.f64 x 3)) 1)
(*.f64 1/120 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/60) 2)
(*.f64 1/120 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/30) 4)
(*.f64 1/120 (pow.f64 x 3))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/30)) 8)
(*.f64 1/120 (pow.f64 x 3))
(/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/30)) (*.f64 2 (*.f64 (pow.f64 x 3) 1/30))) 16)
(*.f64 1/120 (pow.f64 x 3))
(pow.f64 (*.f64 1/120 (pow.f64 x 3)) 1)
(*.f64 1/120 (pow.f64 x 3))
(+.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 0)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(+.f64 0 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(+.f64 (/.f64 (/.f64 1 x) (*.f64 2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) (/.f64 (/.f64 1 x) (*.f64 2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(+.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (+.f64 x x)) (/.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (+.f64 x x)))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(-.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 0)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 x (/.f64 2 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 1 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x)))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(*.f64 2 (/.f64 (/.f64 1 x) (*.f64 2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 2 (/.f64 x (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 2 (/.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 2))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 2 (*.f64 (/.f64 1/2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (/.f64 1 x)))
(*.f64 (/.f64 1/2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (*.f64 (/.f64 1 x) 2))
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1/2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))))
(*.f64 (/.f64 1/2 (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x)))) (*.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))))
(*.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(*.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x)))))
(*.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(*.f64 (/.f64 2 x) (*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) 1/2))
(*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (*.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x)))) (*.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))) (*.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 1)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x)))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(*.f64 (/.f64 2 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 1/2)
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(*.f64 1/2 (/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x)))))
(*.f64 1/2 (/.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(*.f64 (/.f64 4 x) (/.f64 1 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) 4)))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
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(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
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(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) x) -1)
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(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
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(*.f64 (/.f64 (/.f64 1 x) (*.f64 2 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 2)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))) 2)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))) (+.f64 x x))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) (*.f64 x (+.f64 x x)))) x)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 (*.f64 x 1/2) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) (/.f64 2 (*.f64 x x)))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 2) 2)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(*.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) 4)) (/.f64 4 x))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(pow.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))) 1)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(neg.f64 (/.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))) x))
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(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 x 1/6))))
(-.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 0)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(*.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(*.f64 2 (/.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 2))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 1)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(*.f64 (*.f64 2 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) 1/2)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(*.f64 (/.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 2) 2)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(/.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 1)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(/.f64 (*.f64 2 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))) 2)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(/.f64 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 4) 4)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 4)) 8)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 4))) 16)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))
(pow.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)) 1)
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6))

eval196.0ms (1.6%)

Compiler

Compiled 10451 to 7340 computations (29.8% saved)

prune122.0ms (1%)

Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New6739682
Fresh2810
Picked101
Done1910
Total67726703
Error
0.1b
Counts
703 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.7b
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 1 (cos.f64 x))))
✓30.3b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
✓31.5b
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
✓30.2b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓12.6b
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
30.3b
(/.f64 (/.f64 1 x) (neg.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))))
✓30.9b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
37.8b
(/.f64 x (/.f64 (*.f64 x (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (neg.f64 x)))
45.1b
(/.f64 120 (pow.f64 x 4))
43.1b
(/.f64 6 (pow.f64 x 2))
12.6b
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
✓30.4b
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
14.0b
(/.f64 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
✓32.3b
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
26.7b
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
27.0b
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
31.3b
(*.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)))))
12.6b
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
27.0b
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
✓31.5b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
34.8b
(*.f64 x (/.f64 (/.f64 1 x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
35.4b
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
53.0b
(*.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
30.3b
(neg.f64 (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) x))
12.7b
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 4 x) (*.f64 x 1/3))) x))
31.4b
1/2
Compiler

Compiled 331 to 236 computations (28.7% saved)

regimes72.0ms (0.6%)

Counts
36 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 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 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(/.f64 6 (pow.f64 x 2))
(/.f64 120 (pow.f64 x 4))
(+.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 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) x))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 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 1 x) (neg.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 x (/.f64 (/.f64 1 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 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))
(/.f64 x (/.f64 (*.f64 x (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (neg.f64 x)))
(*.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(*.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)))))
Outputs
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

48.0ms
x
12.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.1b3x
0.3b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 442 to 281 computations (36.4% saved)

bsearch45.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
1.8969124097257554e-6
88121.15730578838
21.0ms
-20.08702676784793
-0.000690015530276078
Results
40.0ms288×body256valid
Compiler

Compiled 479 to 385 computations (19.6% saved)

regimes65.0ms (0.5%)

Counts
34 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 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 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(/.f64 6 (pow.f64 x 2))
(/.f64 120 (pow.f64 x 4))
(+.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 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) x))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 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 1 x) (neg.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 x (/.f64 (/.f64 1 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 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))
(/.f64 x (/.f64 (*.f64 x (*.f64 x (neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (neg.f64 x)))
(*.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
Outputs
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

43.0ms
x
14.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.1b3x
0.3b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 407 to 258 computations (36.6% saved)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
1.8969124097257554e-6
88121.15730578838
17.0ms
-20.08702676784793
-0.000690015530276078
Results
34.0ms288×body256valid
Compiler

Compiled 551 to 421 computations (23.6% saved)

regimes59.0ms (0.5%)

Counts
31 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 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 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(/.f64 6 (pow.f64 x 2))
(/.f64 120 (pow.f64 x 4))
(+.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 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) x))
(*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 x) (/.f64 1/2 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 1 x) (neg.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 x (/.f64 (/.f64 1 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 1 (*.f64 x (+.f64 (/.f64 2 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (*.f64 x 1/6)))))
Outputs
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

39.0ms
x
13.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.1b3x
0.4b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 348 to 223 computations (35.9% saved)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.8969124097257554e-6
88121.15730578838
17.0ms
-20.08702676784793
-0.000690015530276078
Results
33.0ms288×body256valid
Compiler

Compiled 371 to 295 computations (20.5% saved)

regimes42.0ms (0.4%)

Counts
21 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 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 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(/.f64 6 (pow.f64 x 2))
(/.f64 120 (pow.f64 x 4))
(+.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 (-.f64 1 (cos.f64 x)) x)))
Outputs
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

28.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.4b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 219 to 145 computations (33.8% saved)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.8969124097257554e-6
88121.15730578838
16.0ms
-20.08702676784793
-0.000690015530276078
Results
33.0ms288×body256valid
Compiler

Compiled 371 to 295 computations (20.5% saved)

regimes38.0ms (0.3%)

Counts
19 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 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 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(/.f64 6 (pow.f64 x 2))
(/.f64 120 (pow.f64 x 4))
(+.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))
Outputs
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

25.0ms
x
8.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.4b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 199 to 133 computations (33.2% saved)

bsearch36.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
1.8969124097257554e-6
88121.15730578838
17.0ms
-20.08702676784793
-0.000690015530276078
Results
32.0ms288×body256valid
Compiler

Compiled 371 to 295 computations (20.5% saved)

regimes38.0ms (0.3%)

Counts
18 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 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 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(/.f64 6 (pow.f64 x 2))
(/.f64 120 (pow.f64 x 4))
(+.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))
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:

24.0ms
x
8.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.4b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 189 to 127 computations (32.8% saved)

bsearch36.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
1.8969124097257554e-6
88121.15730578838
17.0ms
-20.08702676784793
-0.000690015530276078
Results
32.0ms288×body256valid
Compiler

Compiled 355 to 279 computations (21.4% saved)

regimes35.0ms (0.3%)

Counts
16 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 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 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(/.f64 6 (pow.f64 x 2))
(/.f64 120 (pow.f64 x 4))
(+.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:

22.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.3b3x
0.4b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 172 to 118 computations (31.4% saved)

bsearch36.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.8969124097257554e-6
88121.15730578838
16.0ms
-20.08702676784793
-0.000690015530276078
Results
32.0ms288×body256valid
Compiler

Compiled 355 to 279 computations (21.4% saved)

regimes11.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 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 x (/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 1/2 x))))
(*.f64 (/.f64 4 x) (/.f64 1/2 (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 x) (*.f64 x 1/6))) (*.f64 x 8))
(*.f64 (/.f64 2 (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) x)
(*.f64 (/.f64 x (*.f64 (+.f64 (/.f64 4 x) (*.f64 x 1/3)) (*.f64 x x))) 2)
(*.f64 (/.f64 x (+.f64 (/.f64 4 x) (*.f64 x 1/3))) (/.f64 2 (*.f64 x x)))
(/.f64 6 (pow.f64 x 2))
(/.f64 120 (pow.f64 x 4))
(+.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:

7.0ms
x
Results
ErrorSegmentsBranch
12.6b1x
Compiler

Compiled 155 to 108 computations (30.3% saved)

regimes5.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
Outputs
(/.f64 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
12.6b1x
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes4.0ms (0%)

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts
3 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 8 (/.f64 2 x)) (*.f64 x 8))
Outputs
1/2
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
31.4b1x
Compiler

Compiled 20 to 15 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076722
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1098878309078401/36028797018963968) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -7493989779944505/288230376151711744) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 8214565720323785/288230376151711744) (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3))))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.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 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
1/2
Outputs
(if (<=.f64 x -1098878309078401/36028797018963968) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -7493989779944505/288230376151711744) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 8214565720323785/288230376151711744) (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (*.f64 1/120 (pow.f64 x 3))))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 4842270319348757/1152921504606846976) (+.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 2 (*.f64 x (+.f64 (*.f64 x 1/3) (/.f64 4 x))))
1/2
Compiler

Compiled 276 to 195 computations (29.3% saved)

soundness0.0ms (0%)

end111.0ms (0.9%)

Compiler

Compiled 267 to 180 computations (32.6% saved)

Profiling

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