Details

Time bar (total: 11.3s)

analyze111.0ms (1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample3.9s (34.1%)

Results
1.9s2136×body2048valid
741.0ms1542×body512valid
645.0ms3342×body256valid
476.0ms1135×body1024valid
98.0ms101×body4096valid
Bogosity

preprocess36.0ms (0.3%)

Algorithm
egg-herbie
Rules
416×fma-def
224×associate-*r*
212×associate-+l-
204×associate-/r*
182×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11823
22923
34323
47723
513023
619723
734723
869823
9126123
10195023
11209023
011
Stop Event
saturated
saturated
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)

simplify50.0ms (0.4%)

Algorithm
egg-herbie
Rules
416×fma-def
224×associate-*r*
212×associate-+l-
204×associate-/r*
182×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11823
22923
34323
47723
513023
619723
734723
869823
9126123
10195023
11209023
Stop Event
saturated
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))

eval14.0ms (0.1%)

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
51.2%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
51.2%
(/.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 3 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 x)
3.11%
(-.f64 1 (cos.f64 x))
23.86%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite75.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1514×associate-*r/
1354×associate-/r*
1182×associate-/l*
1142×associate-*l/
872×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
119039
2263639
Stop Event
node limit
Counts
3 → 140
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 1 (cos.f64 x))
(cos.f64 x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x)))))))

simplify138.0ms (1.2%)

Algorithm
egg-herbie
Rules
710×associate-+l+
662×associate-+r+
634×distribute-lft-neg-in
588×distribute-rgt-neg-in
516×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03625702
19595268
247335228
Stop Event
node limit
Counts
160 → 231
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)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 1 (*.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)) (pow.f64 x -2)) 1)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 1 (-.f64 (cos.f64 x) 1))
(+.f64 (cos.f64 x) 0)
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (cos.f64 x) 1)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x)))
(+.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.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)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (*.f64 (pow.f64 x 4) 1/24))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.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)) (pow.f64 x -2))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(+.f64 1 (+.f64 (cos.f64 x) -1))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(+.f64 1 (+.f64 (cos.f64 x) -1))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(fabs.f64 (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 x)))
(+.f64 1 (+.f64 (cos.f64 x) -1))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(+.f64 1 (+.f64 (cos.f64 x) -1))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(+.f64 1 (+.f64 (cos.f64 x) -1))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(+.f64 1 (+.f64 (cos.f64 x) -1))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(+.f64 1 (+.f64 (cos.f64 x) -1))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(+.f64 1 (+.f64 (cos.f64 x) -1))
(cos.f64 x)

eval102.0ms (0.9%)

Compiler

Compiled 4431 to 2255 computations (49.1% saved)

prune83.0ms (0.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New21219231
Fresh000
Picked011
Done000
Total21220232
Error
0.01%
Counts
232 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
50.49%
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
61.46%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
51.37%
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 x x))
51.19%
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
51.2%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
74.66%
(/.f64 (-.f64 1 1) (*.f64 x x))
25.85%
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))))
24.8%
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x))
24.68%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
51.31%
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
51.19%
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
50.72%
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
47.51%
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x)))
47.9%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
50.67%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
49.9%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
25.84%
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
51.28%
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
61.33%
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
46.49%
1/2
Compiler

Compiled 523 to 376 computations (28.1% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.32%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
23.87%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms
x
@-inf
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
1.0ms
x
@inf
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
1.0ms
x
@0
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
0.0ms
x
@-inf
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite79.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
960×unswap-sqr
834×swap-sqr
410×sqr-pow
408×pow-sqr
382×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
123954
2332754
Stop Event
node limit
Counts
2 → 100
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Outputs
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simplify85.0ms (0.8%)

Algorithm
egg-herbie
Rules
1428×associate-/r*
1248×associate-/l/
824×distribute-rgt-in
818×distribute-lft-in
728×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02845218
17604964
230944964
Stop Event
node limit
Counts
124 → 156
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 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.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)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.26%
(*.f64 -1/24 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 -1/24 (*.f64 x x))
0.0ms
x
@inf
(*.f64 -1/24 (*.f64 x x))
0.0ms
x
@0
(*.f64 -1/24 (*.f64 x x))

rewrite50.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1080×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
990×add-cube-cbrt
982×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2141113
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/24 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))))))

simplify41.0ms (0.4%)

Algorithm
egg-herbie
Rules
1470×distribute-rgt-in
1446×distribute-lft-in
1164×log-prod
760×associate-*r*
696×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
193299
2348299
31913299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))
Outputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.18%
(/.f64 1 (-.f64 1 (cos.f64 x)))
0.22%
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
3.11%
(-.f64 1 (cos.f64 x))
23.86%
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite91.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1300×associate-/l*
1008×*-commutative
664×associate-/l/
646×associate-/r/
580×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
124551
2307651
Stop Event
node limit
Counts
3 → 195
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -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 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 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 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))))

simplify121.0ms (1.1%)

Algorithm
egg-herbie
Rules
1004×associate-+r+
772×associate-*l*
762×associate-*r*
552×+-commutative
540×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04787021
113656723
261216723
Stop Event
node limit
Counts
223 → 301
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))
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(-.f64 1 (cos.f64 x))
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(/.f64 2 (pow.f64 x 2))
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
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(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(neg.f64 (+.f64 (cos.f64 x) -1))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)))
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))
(+.f64 (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) 1)
(*.f64 1 (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 -1 (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 1) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) -1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3)
(neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))
(+.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.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))))
(fma.f64 1/2 (*.f64 x x) (fma.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)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
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(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))
(fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 x)
0.36%
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
2.86%
(log1p.f64 (neg.f64 (cos.f64 x)))
23.86%
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
Compiler

Compiled 28 to 7 computations (75% saved)

series47.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
26.0ms
x
@inf
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
19.0ms
x
@-inf
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
1.0ms
x
@0
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
0.0ms
x
@0
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
0.0ms
x
@0
(log1p.f64 (neg.f64 (cos.f64 x)))

rewrite71.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1856×add-sqr-sqrt
1840×*-un-lft-identity
1712×add-cube-cbrt
1690×add-cbrt-cube
200×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01059
120343
2265743
Stop Event
node limit
Counts
3 → 76
Calls
Call 1
Inputs
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(log1p.f64 (neg.f64 (cos.f64 x)))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(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 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 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 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)))) (#(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 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))))))

simplify65.0ms (0.6%)

Algorithm
egg-herbie
Rules
1520×associate-/l*
1406×associate-*r/
1104×distribute-lft-in
1072×distribute-rgt-in
936×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02032790
14942308
225482308
Stop Event
node limit
Counts
112 → 136
Calls
Call 1
Inputs
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))))
(/.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 (log.f64 1/2) (*.f64 2 (log.f64 x)))
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x))))))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))
(+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1)
(*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))
(*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))
(*.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(+.f64 0 (log1p.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1)
(*.f64 (log1p.f64 (cos.f64 x)) 1)
(*.f64 1 (log1p.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(pow.f64 (log1p.f64 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))
(log.f64 (+.f64 (cos.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(*.f64 1 (+.f64 (cos.f64 x) 1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
Outputs
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) (*.f64 (*.f64 x x) -1/24))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12)))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)))
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))))
(fma.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12))))
(+.f64 (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))) (fma.f64 (*.f64 -1/40320 (*.f64 x x)) (pow.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))))
(+.f64 (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)) (fma.f64 (*.f64 (*.f64 x x) -1/40320) (pow.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/2))
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))
(fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x))))))
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -1/90720 (pow.f64 x 6) (*.f64 2 (log.f64 x))))))
(fma.f64 (pow.f64 x 4) -1/1440 (+.f64 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2))) (*.f64 -1/90720 (pow.f64 x 6))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) (*.f64 -1/90720 (pow.f64 x 6)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(*.f64 1/2 (*.f64 x x))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))
(fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)))))
(fma.f64 (*.f64 1/720 (*.f64 x x)) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 (*.f64 (*.f64 x x) 1/720) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))))
(fma.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x))))))
(fma.f64 (*.f64 -1/40320 (*.f64 x x)) (pow.f64 x 6) (fma.f64 (*.f64 1/720 (*.f64 x x)) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))))
(fma.f64 (*.f64 (*.f64 x x) -1/40320) (pow.f64 x 6) (fma.f64 (*.f64 (*.f64 x x) 1/720) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))))
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (*.f64 -2 (log.f64 x))))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1))
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (*.f64 -2 (log.f64 x))))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 0 (log1p.f64 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(log1p.f64 (cos.f64 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(log1p.f64 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1)
(log1p.f64 (cos.f64 x))
(*.f64 (log1p.f64 (cos.f64 x)) 1)
(log1p.f64 (cos.f64 x))
(*.f64 1 (log1p.f64 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))
(log1p.f64 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
(pow.f64 (log1p.f64 (cos.f64 x)) 1)
(log1p.f64 (cos.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)
(log1p.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)
(log1p.f64 (cos.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)
(log1p.f64 (cos.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))
(fabs.f64 (log1p.f64 (cos.f64 x)))
(log.f64 (+.f64 (cos.f64 x) 1))
(log1p.f64 (cos.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))
(log1p.f64 (cos.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1))
(log1p.f64 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)
(+.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 1 (cos.f64 x))
(*.f64 1 (+.f64 (cos.f64 x) 1))
(+.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))
(+.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(+.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(+.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(+.f64 1 (cos.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))
(fabs.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))
(+.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(+.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.36%
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
3.11%
(-.f64 1 (cos.f64 x))
10.27%
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
38.33%
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))
Compiler

Compiled 41 to 28 computations (31.7% saved)

series2.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))
0.0ms
x
@-inf
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))
0.0ms
x
@0
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))
0.0ms
x
@0
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
0.0ms
x
@0
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))

rewrite97.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1180×associate-*r/
1026×*-commutative
982×associate-/r*
928×associate-*l/
812×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01379
127369
2333169
Stop Event
node limit
Counts
3 → 228
Calls
Call 1
Inputs
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
Outputs
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simplify155.0ms (1.4%)

Algorithm
egg-herbie
Rules
1138×associate-/l*
844×associate-+l+
644×+-commutative
628×associate-*l*
628×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054611598
1156710454
2687010452
Stop Event
node limit
Counts
248 → 333
Calls
Call 1
Inputs
1/4
(+.f64 1/4 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/4 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/320 (pow.f64 x 4))))
(+.f64 1/4 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/320 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 6)))))
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 1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))
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(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(+.f64 1 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)))))
(+.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 1 (-.f64 (cos.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) (-.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1)
(-.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)))))
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)))))
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 1 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (-.f64 1 (cos.f64 x))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (cos.f64 x))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
Outputs
1/4
(+.f64 1/4 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/4 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/320 (pow.f64 x 4))))
(+.f64 1/4 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/320 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/4) (*.f64 1/320 (pow.f64 x 4)))
(+.f64 1/4 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/320 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 6)))))
(+.f64 1/4 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/320 (pow.f64 x 4) (*.f64 -17/120960 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/4) (fma.f64 1/320 (pow.f64 x 4) (*.f64 -17/120960 (pow.f64 x 6))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720)))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/720))
(+.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 6) -1/40320 (*.f64 (pow.f64 x 4) 1/720)))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 6) (*.f64 1/4 (pow.f64 x 4)))
(fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/24 (pow.f64 x 6)))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 6) (fma.f64 1/320 (pow.f64 x 8) (*.f64 1/4 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 6) (fma.f64 1/4 (pow.f64 x 4) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 10)))))
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(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(fma.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 3))
(fma.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(fma.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(exp.f64 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 2) (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(fma.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)

eval391.0ms (3.5%)

Compiler

Compiled 24606 to 14659 computations (40.4% saved)

prune263.0ms (2.3%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1198141212
Fresh10414
Picked101
Done235
Total1211211232
Error
0%
Counts
1232 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
49.85%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
48.59%
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
72.61%
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
46.53%
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
51.24%
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
51.2%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
74.66%
(/.f64 (-.f64 1 1) (*.f64 x x))
24.68%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
51.3%
(/.f64 (*.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
51.31%
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
50.47%
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
51.18%
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
51.34%
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
47.9%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
50.67%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
0.17%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
25.26%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
51.28%
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
46.6%
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
25.69%
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
46.49%
1/2
Compiler

Compiled 431 to 298 computations (30.9% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.13%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
0.19%
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
0.19%
(/.f64 (sin.f64 x) x)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite94.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1724×associate-/l*
1050×unswap-sqr
840×swap-sqr
400×associate-/l/
296×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161
123561
2315761
Stop Event
node limit
Counts
3 → 268
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) x)
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) 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simplify96.0ms (0.9%)

Algorithm
egg-herbie
Rules
1178×associate-/l*
1042×associate-/r*
934×associate-*r*
914×associate-/r/
844×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06679630
118249492
Stop Event
node limit
Counts
296 → 344
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 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 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 1 (neg.f64 x))))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)
(*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
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(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 x)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 (sqrt.f64 x) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (cbrt.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))))
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sin.f64 x)))
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))
(/.f64 -1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)))
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x))))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 1/120 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 1/24 (*.f64 x x)))
(fma.f64 1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/240)))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/240))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/240 (*.f64 (pow.f64 x 6) 17/40320)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720)))
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24))))
(+.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(/.f64 (sin.f64 x) x)
(*.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
23.07%
(/.f64 (-.f64 1 1) (*.f64 x x))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite45.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1034×associate-*r*
860×add-sqr-sqrt
844×*-un-lft-identity
800×pow1
784×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081
11381
212311
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 1) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
saturated
Counts
13 → 1
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 x)
0.15%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.16%
(/.f64 (-.f64 1 (cos.f64 x)) x)
3.11%
(-.f64 1 (cos.f64 x))
Compiler

Compiled 23 to 12 computations (47.8% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite78.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
980×*-commutative
752×associate-/l/
716×associate-/r/
686×unswap-sqr
610×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
119340
2271540
Stop Event
node limit
Counts
2 → 158
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.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 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))))) (#(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 (cos.f64 x) -1) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (cos.f64 x) x))) (-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule 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(/.f64 (-.f64 1 (cos.f64 x)) x)))))))
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((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))))

simplify89.0ms (0.8%)

Algorithm
egg-herbie
Rules
1284×associate-/r/
1216×distribute-lft-neg-out
982×distribute-rgt-neg-out
564×associate-*l*
538×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03825846
110284832
244234832
Stop Event
node limit
Counts
174 → 208
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (cos.f64 x) x))) (-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (cos.f64 x) x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/6))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(*.f64 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 (/.f64 1 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 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6))
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.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))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
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(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2))
(/.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))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.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))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(/.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))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.18%
(/.f64 1 (-.f64 1 (cos.f64 x)))
0.74%
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
3.11%
(-.f64 1 (cos.f64 x))
18.88%
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))
Compiler

Compiled 40 to 22 computations (45% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite186.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1572×associate-*r/
1180×associate-/r*
1044×*-commutative
994×associate-*l/
626×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01152
123746
2312246
Stop Event
node limit
Counts
2 → 219
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 -1 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (neg.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 -1 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (*.f64 (pow.f64 x -2) 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simplify400.0ms (3.5%)

Algorithm
egg-herbie
Rules
1826×distribute-lft-in
1210×associate-/l*
956×associate-/l/
620×associate-/r*
550×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05538917
114948717
271258717
Stop Event
node limit
Counts
243 → 335
Calls
Call 1
Inputs
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)))
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))
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(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) 1) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) 1) (+.f64 -1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) -1) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 x (/.f64 1 x)) 1) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2) (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 1 (*.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)) (pow.f64 x -2)) 1)
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 x -2) (neg.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (pow.f64 x -2) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (pow.f64 x -2) -1))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1)
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 -1 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 x -2) -1) (+.f64 -1 (cos.f64 x)))
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) (pow.f64 x -1))
(*.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1) (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) -1)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 x -1)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2))
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
Outputs
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(fma.f64 1/6 (*.f64 x x) 2)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 1/120 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2))
(+.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 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/3024 (pow.f64 x 6))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720)))
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.f64 -1/24 (*.f64 x x))))
(+.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320)))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 x (/.f64 -1 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x 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 (*.f64 x x) (neg.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (/.f64 -1 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
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(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
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(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2) (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) -2)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 3) (pow.f64 (*.f64 x x) 3)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (neg.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.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)) (pow.f64 x -2))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (pow.f64 x -2) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) -1) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) (pow.f64 x -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) -1)) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 x -1)) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 -1))
(*.f64 (/.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -2))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 x)
0.81%
(/.f64 (cos.f64 x) (*.f64 x x))
27.99%
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
Compiler

Compiled 27 to 10 computations (63% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite268.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1582×associate-*r/
1176×associate-/r*
1026×associate-*l/
996×*-commutative
952×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
122246
2311246
Stop Event
node limit
Counts
2 → 146
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
Outputs
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simplify117.0ms (1%)

Algorithm
egg-herbie
Rules
1268×associate-+r+
1264×associate-+l+
798×+-commutative
772×associate-/r/
488×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038610308
110969180
250679006
Stop Event
node limit
Counts
170 → 253
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 (/.f64 1 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (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 (pow.f64 x 2)))) 1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))
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(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))
(pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)
(*.f64 (pow.f64 x -2) (cos.f64 x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(*.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.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)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 1 (*.f64 x x)) -1/2)
(+.f64 (/.f64 (/.f64 1 x) x) -1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x))) -1/2)
(+.f64 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x)) -1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x)))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x))) -1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(fma.f64 2 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
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(/.f64 (*.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))
(/.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) 1) (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))) (+.f64 (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 x -4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1) (pow.f64 x -6)) (fma.f64 (pow.f64 x -4) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (pow.f64 x -4)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -6)) (fma.f64 (pow.f64 x -4) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (pow.f64 x -4)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))) (+.f64 (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 x -4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1) (pow.f64 x -6)) (fma.f64 (pow.f64 x -4) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (pow.f64 x -4)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -6)) (fma.f64 (pow.f64 x -4) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (pow.f64 x -4)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))) (+.f64 (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 x -4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1) (pow.f64 x -6)) (fma.f64 (pow.f64 x -4) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (pow.f64 x -4)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -6)) (fma.f64 (pow.f64 x -4) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (pow.f64 x -4)))
(pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 1)
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 2)
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 3)
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) 1/3)
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) 2))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2))) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (cos.f64 x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x (neg.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))

eval624.0ms (5.5%)

Compiler

Compiled 33226 to 19669 computations (40.8% saved)

prune531.0ms (4.7%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New1551131564
Fresh7613
Picked101
Done347
Total1562231585
Error
0%
Counts
1585 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
49.85%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
70.9%
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) x) x)
48.59%
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
72.61%
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
46.53%
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
50.06%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
51.24%
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
51.2%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
49.97%
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
0.77%
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
0.8%
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
50.47%
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
50.49%
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
51.18%
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
51.37%
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
50.88%
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))
47.9%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
50.7%
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
46.6%
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
50.74%
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
45.85%
(*.f64 1/2 (/.f64 (sin.f64 x) x))
46.49%
1/2
73.93%
0
Compiler

Compiled 467 to 318 computations (31.9% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1%
(*.f64 (/.f64 x (sin.f64 x)) x)
0.23%
(/.f64 x (sin.f64 x))
0.74%
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
Compiler

Compiled 33 to 14 computations (57.6% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
904×unswap-sqr
874×swap-sqr
762×associate-/r/
610×associate-/l/
420×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161
123461
2317561
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
Outputs
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simplify92.0ms (0.8%)

Algorithm
egg-herbie
Rules
820×distribute-rgt-in
812×distribute-lft-in
642×distribute-lft-neg-in
592×distribute-rgt-neg-in
542×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03945126
110645076
242465076
Stop Event
node limit
Counts
180 → 211
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 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
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(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))))
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(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))
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(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) 1)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (/.f64 (sin.f64 x) x))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) x) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x 1)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))) (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) -1/2))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x)))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x)))) 1))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (sin.f64 x))))
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)
(*.f64 x (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(*.f64 1 (/.f64 x (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) x) -1/2) (pow.f64 (/.f64 (sin.f64 x) x) -1/2))
(pow.f64 (/.f64 x (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) x) -1)
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 1))
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) 1)
(/.f64 x (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (*.f64 x x) (sin.f64 x))
(/.f64 (/.f64 (*.f64 x x) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3)
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x))
(/.f64 x (sin.f64 x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))
(/.f64 x (sin.f64 x))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))))
(/.f64 x (sin.f64 x))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) x) -1/2) (pow.f64 (/.f64 (sin.f64 x) x) -1/2))
(/.f64 x (sin.f64 x))
(pow.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)
(/.f64 x (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)
(/.f64 x (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)
(/.f64 x (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) x) -1)
(/.f64 x (sin.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 x (sin.f64 x))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 1))
(/.f64 x (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))
(fabs.f64 (/.f64 x (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))
(/.f64 x (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 x (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(exp.f64 (log.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))
(/.f64 x (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) 1)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 x (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 x x) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 x x) 1) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) x) 2))
(fabs.f64 (*.f64 x (/.f64 x (sin.f64 x))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x)))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) (pow.f64 x 3)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.27%
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
Compiler

Compiled 23 to 9 computations (60.9% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1240×add-sqr-sqrt
1216×*-un-lft-identity
1146×add-cube-cbrt
1134×add-cbrt-cube
1120×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11981
218541
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.19%
(/.f64 (sin.f64 x) x)
Compiler

Compiled 15 to 6 computations (60% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 x)
0.13%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
0.18%
(/.f64 (cos.f64 x) x)
3.4%
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
Compiler

Compiled 30 to 13 computations (56.7% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite101.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1224×associate-/l/
1130×associate-/r/
656×distribute-rgt-in
624×distribute-lft-in
488×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
122351
2337651
Stop Event
node limit
Counts
3 → 280
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))))) 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simplify120.0ms (1.1%)

Algorithm
egg-herbie
Rules
1386×associate-*r*
1250×associate-*l*
912×associate-/l*
866×*-commutative
652×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068712660
1208912058
Stop Event
node limit
Counts
308 → 430
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)))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (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 (-.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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
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(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (-.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (/.f64 x (cos.f64 x)))) (*.f64 x (/.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x))))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (neg.f64 (/.f64 x (cos.f64 x))))) (*.f64 (neg.f64 x) (/.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.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))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.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)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 (pow.f64 x 3) 1/24))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) 1/24))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (*.f64 x (*.f64 x -1/24)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.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 (fma.f64 -1/24 (*.f64 x x) (fma.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)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
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(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x))) x) (+.f64 x (*.f64 (cos.f64 x) (*.f64 x 1))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2)))
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (-.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 (pow.f64 x -3) (*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2)))) (-.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) 3)))
(*.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (*.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) (pow.f64 x -2)))))) (*.f64 (/.f64 (pow.f64 x -3) (/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 1 x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.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
0.01%
(cos.f64 x)
0.13%
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
0.25%
(*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))
3.4%
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
Compiler

Compiled 42 to 22 computations (47.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite104.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1452×associate-/r*
1308×associate-/l*
1050×*-commutative
658×associate-/r/
624×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01175
123451
2336251
Stop Event
node limit
Counts
3 → 312
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
Outputs
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-3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))))))

simplify137.0ms (1.2%)

Algorithm
egg-herbie
Rules
1534×associate-*r*
1294×associate-*l*
994×associate-*r/
990×associate-/l*
906×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073314712
1217014474
Stop Event
node limit
Counts
348 → 534
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)))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
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1/2
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(/.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (/.f64 (cos.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (cos.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2)))))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))))
(*.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (/.f64 -1 x))
(*.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1)
(*.f64 (/.f64 -1 x) (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) 1) (/.f64 x (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x))))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x)) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x))) (*.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (neg.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2))) (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2))) (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.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))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.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)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 x) (/.f64 1 x))
(fma.f64 1/2 x (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (fma.f64 1/2 x (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) (/.f64 1 x))
(+.f64 (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) (/.f64 -1 x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (*.f64 x (*.f64 x -1/24)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.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 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x)))
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(*.f64 (+.f64 (pow.f64 x -4) (*.f64 (/.f64 (cos.f64 x) x) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (-.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x)) (pow.f64 x -2))))) (/.f64 (/.f64 1 x) (/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x)) 3)) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (neg.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2))) (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2)))) (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))) (neg.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2))) x) (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))) (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))) (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) x) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2))) (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (neg.f64 (+.f64 1 (cos.f64 x))) x) (/.f64 (/.f64 1 x) (/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2)) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2))))
(neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) x) (-.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2))))
(/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) x) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x))))
(*.f64 x (*.f64 (neg.f64 x) (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) x) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 x (/.f64 (*.f64 x (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) x)) (-.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 1 x) (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 x (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) x)) (-.f64 0 (-.f64 x (*.f64 x (cos.f64 x))))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 1)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 3)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 3) 1/3)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (cos.f64 x)))) -1)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 3))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))

eval610.0ms (5.4%)

Compiler

Compiled 26700 to 13652 computations (48.9% saved)

prune441.0ms (3.9%)

Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New130631309
Fresh11314
Picked101
Done088
Total1308241332
Error
0%
Counts
1332 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
51.3%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
49.85%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
70.9%
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) x) x)
48.59%
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
49.86%
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) x)
72.61%
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
46.53%
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
50.06%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
49.97%
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
51.24%
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
51.2%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
0.77%
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
0.8%
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
50.49%
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
51.18%
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
51.37%
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
50.88%
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))
47.9%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
50.7%
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
46.6%
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
50.74%
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
45.85%
(*.f64 1/2 (/.f64 (sin.f64 x) x))
46.49%
1/2
73.93%
0
Compiler

Compiled 264 to 178 computations (32.6% saved)

regimes44.0ms (0.4%)

Counts
50 → 1
Calls
Call 1
Inputs
0
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) x) x)
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
(/.f64 (*.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x)))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
Calls

2 calls:

23.0ms
x
8.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.17%1x
0.17%1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 586 to 329 computations (43.9% saved)

regimes69.0ms (0.6%)

Counts
35 → 3
Calls
Call 1
Inputs
0
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) x) x)
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
(/.f64 (*.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
Outputs
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) x)
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

50.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.41%3x
1.82%2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 368 to 206 computations (44% saved)

bsearch65.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
0.0009744701655904721
3884.6262536924514
20.0ms
-0.14422290631220303
-5.911855971452685e-11
Results
60.0ms288×body256valid
Compiler

Compiled 373 to 279 computations (25.2% saved)

regimes68.0ms (0.6%)

Counts
19 → 3
Calls
Call 1
Inputs
0
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) x) x)
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

55.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.41%3x
2.97%3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 172 to 98 computations (43% saved)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.0009744701655904721
3884.6262536924514
20.0ms
-0.14422290631220303
-5.911855971452685e-11
Results
34.0ms288×body256valid
Compiler

Compiled 355 to 261 computations (26.5% saved)

regimes36.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
0
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) x) x)
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.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 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

27.0ms
x
7.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
1.03%3x
2.97%3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 84 to 49 computations (41.7% saved)

bsearch68.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
47.0ms
0.0009744701655904721
3884.6262536924514
20.0ms
-0.14422290631220303
-5.911855971452685e-11
Results
64.0ms288×body256valid
Compiler

Compiled 355 to 261 computations (26.5% saved)

regimes21.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
0
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) x) x)
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
Outputs
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
Calls

1 calls:

19.0ms
x
Results
ErrorSegmentsBranch
21.14%3x
Compiler

Compiled 67 to 39 computations (41.8% saved)

bsearch68.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
53.0ms
0.0009744701655904721
3884.6262536924514
16.0ms
-8.100894524692588
-0.14422290631220303
Results
64.0ms256×body256valid
Compiler

Compiled 397 to 281 computations (29.2% saved)

regimes15.0ms (0.1%)

Accuracy

Total -48.0b remaining (-316.3%)

Threshold costs -48b (-316.3%)

Counts
7 → 3
Calls
Call 1
Inputs
0
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) x) x)
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
Outputs
0
1/2
0
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
23.72%3x
Compiler

Compiled 48 to 28 computations (41.7% saved)

bsearch66.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
1.8623577143100123e+73
1.48578609567262e+79
29.0ms
-3.179250368507494e+81
-7.588231146727149e+76
Results
61.0ms256×body512valid
2.0ms16×body256valid
Compiler

Compiled 115 to 111 computations (3.5% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
*-commutative
sub-neg
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054359
174359
278359
380359
481359
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) x) (if (<=.f64 x 1642913144064757/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.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 1642913144064757/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.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 1642913144064757/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -2) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) (if (<=.f64 x 2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))))
(if (<=.f64 x -149999999999999990989639731795917682953773097706373436242150705195545389957120) 0 (if (<=.f64 x 145000000000000008430657546165283365969576312755228748604244282038817453506560) 1/2 0))
0
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (/.f64 1 (/.f64 x (-.f64 1 (cos.f64 x)))) x) (if (<=.f64 x 1642913144064757/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.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 1642913144064757/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (or (<=.f64 x -5764607523034235/1152921504606846976) (not (<=.f64 x 1642913144064757/288230376151711744))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1642913144064757/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -5764607523034235/1152921504606846976) (not (<=.f64 x 1642913144064757/288230376151711744))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -2) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) (if (<=.f64 x 2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))))
(if (or (<=.f64 x -2) (not (<=.f64 x 2))) (/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -149999999999999990989639731795917682953773097706373436242150705195545389957120) 0 (if (<=.f64 x 145000000000000008430657546165283365969576312755228748604244282038817453506560) 1/2 0))
0
Compiler

Compiled 140 to 98 computations (30% saved)

soundness105.0ms (0.9%)

Algorithm
egg-herbie
Rules
710×associate-+l+
662×associate-+r+
634×distribute-lft-neg-in
588×distribute-rgt-neg-in
516×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03625702
19595268
247335228
Stop Event
node limit
Compiler

Compiled 102 to 42 computations (58.8% saved)

end100.0ms (0.9%)

Compiler

Compiled 134 to 87 computations (35.1% saved)

Profiling

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