Details

Time bar (total: 19.8s)

analyze4.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample13.4s (67.6%)

Results
11.0s4355×body2048valid
1.7s1997×body1024valid
475.0ms1048×body512valid
163.0ms856×body256valid
Bogosity

preprocess83.0ms (0.4%)

Algorithm
egg-herbie
Rules
740×associate-*r*
560×fma-def
550×associate-*r/
510×associate-/r*
334×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
11321
22021
33221
45621
59021
616421
727221
845721
982021
10153321
11268921
12335621
13344621
14348821
15350021
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
740×associate-*r*
560×fma-def
550×associate-*r/
510×associate-/r*
334×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
11321
22021
33221
45621
59021
616421
727221
845721
982021
10153321
11268921
12335621
13344621
14348821
15350021
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
43.48%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
43.48%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(tan.f64 x)
0.04%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
6.06%
(-.f64 x (sin.f64 x))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite104.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1430×associate-*r/
1328×associate-/r*
1274×associate-/l*
1042×associate-*l/
932×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0837
117837
2260237
Stop Event
node limit
Counts
3 → 214
Calls
Call 1
Inputs
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(tan.f64 x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) 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/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 x)))))))

simplify85.0ms (0.4%)

Algorithm
egg-herbie
Rules
1318×times-frac
924×associate-*r*
914×associate-/l*
764×associate-*l*
662×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05467730
114747498
Stop Event
node limit
Counts
250 → 310
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 x (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(*.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 (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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 x (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 x (sin.f64 x)) 1)
(/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 x (sin.f64 x)))))
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(/.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (tan.f64 x)) (/.f64 1 (sqrt.f64 (tan.f64 x))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) 1)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 x (neg.f64 (sin.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (neg.f64 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 x (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 x (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(-.f64 x (+.f64 (exp.f64 (log1p.f64 (sin.f64 x))) -1))
(*.f64 (-.f64 x (sin.f64 x)) 1)
(-.f64 x (sin.f64 x))
(*.f64 1 (-.f64 x (sin.f64 x)))
(-.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 x (sin.f64 x))))
(-.f64 x (sin.f64 x))
(*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))
(-.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (-.f64 x (sin.f64 x))))
(-.f64 x (sin.f64 x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 x (sin.f64 x))))
(-.f64 x (sin.f64 x))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
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(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
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(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) 1))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (tan.f64 x) 1)
(tan.f64 x)
(/.f64 1 (/.f64 1 (tan.f64 x)))
(tan.f64 x)
(/.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (tan.f64 x)) (/.f64 1 (sqrt.f64 (tan.f64 x))))
(tan.f64 x)
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(tan.f64 x)
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(tan.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sin.f64 x))) (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 x))) (fabs.f64 (cbrt.f64 (sin.f64 x)))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x))))))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 (tan.f64 x) 1)
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(tan.f64 x)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(fabs.f64 (tan.f64 x))
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)

eval104.0ms (0.5%)

Compiler

Compiled 6066 to 2019 computations (66.7% saved)

prune94.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New29614310
Fresh000
Picked011
Done000
Total29615311
Error
0.26%
Counts
311 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
1.15%
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
13.32%
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
43.48%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
12.83%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
12.63%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
13.33%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
14.87%
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
43.42%
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
0.49%
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.78%
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
1.15%
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
43.48%
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
43.41%
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
2.86%
(*.f64 1/6 (*.f64 x x))
43.49%
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
Compiler

Compiled 404 to 311 computations (23% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.1%
(*.f64 -11/15120 (pow.f64 x 6))
0.27%
(*.f64 -23/360 (pow.f64 x 4))
0.34%
(*.f64 1/6 (pow.f64 x 2))
Compiler

Compiled 93 to 75 computations (19.4% saved)

series3.0ms (0%)

Counts
4 → 11
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 2))
0.0ms
x
@0
(*.f64 -11/15120 (pow.f64 x 6))
0.0ms
x
@0
(*.f64 1/6 (pow.f64 x 2))
0.0ms
x
@0
(*.f64 -23/360 (pow.f64 x 4))
0.0ms
x
@inf
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))

rewrite121.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1582×associate-*l/
524×associate-+l+
474×add-sqr-sqrt
448×add-exp-log
448×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02294
149594
2608594
Stop Event
node limit
Counts
4 → 108
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))
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simplify183.0ms (0.9%)

Algorithm
egg-herbie
Rules
1058×associate-+r+
1028×associate-+l+
934×associate-/l*
756×+-commutative
650×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03228955
18438823
231708779
Stop Event
node limit
Counts
119 → 180
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)
(pow.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 12) -12167/46656000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))
(log.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 x 12) -12167/46656000))
(expm1.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))) 1))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/216) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (-.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 1/6 (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 4) 1/36)) (*.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2))) (/.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))) (+.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2) (*.f64 (pow.f64 x 4) 1/36)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/36) 3) (pow.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2) 3)) (/.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 4) 1/36)) (+.f64 (*.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2)) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/216) (*.f64 (pow.f64 x 6) 1/216)) (*.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (-.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 1/6 (*.f64 x x))))))) (-.f64 (*.f64 (pow.f64 x 6) 1/216) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/216) 3) (pow.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (-.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 1/6 (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/216) (*.f64 (pow.f64 x 6) 1/216)) (-.f64 (*.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3)) (*.f64 (*.f64 (pow.f64 x 6) 1/216) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3)))))
(pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1 (*.f64 1/6 (*.f64 x x)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 2) (cbrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 (pow.f64 x 6) 1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/216))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(*.f64 1/6 (log.f64 (pow.f64 (exp.f64 x) x)))
(*.f64 1/6 (*.f64 x (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4)))) 1)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 1)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 -23/360))) 2)
(pow.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) 3)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 12) -12167/46656000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 12) -12167/46656000))
(sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))
(log.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 -23/360 (pow.f64 x 4))
(cbrt.f64 (*.f64 (pow.f64 x 12) -12167/46656000))
(expm1.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -23/360 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -23/360 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))) 1))
(*.f64 -23/360 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -23/360 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 6)))) 1)
(*.f64 -11/15120 (pow.f64 x 6))
(pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 1)
(*.f64 -11/15120 (pow.f64 x 6))
(pow.f64 (*.f64 (sqrt.f64 -11/15120) (pow.f64 x 3)) 2)
(pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 -11/15120)) 3)
(*.f64 -11/15120 (pow.f64 x 6))
(pow.f64 (*.f64 -1331/3456649728000 (pow.f64 (pow.f64 x 6) 3)) 1/3)
(cbrt.f64 (*.f64 -1331/3456649728000 (pow.f64 (pow.f64 x 6) 3)))
(sqrt.f64 (*.f64 121/228614400 (pow.f64 x 12)))
(sqrt.f64 (*.f64 (pow.f64 x 12) 121/228614400))
(log.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))
(*.f64 -11/15120 (pow.f64 x 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6)))))
(*.f64 -11/15120 (pow.f64 x 6))
(cbrt.f64 (*.f64 -1331/3456649728000 (pow.f64 (pow.f64 x 6) 3)))
(expm1.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 -11/15120 (pow.f64 x 6))
(exp.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 -11/15120 (pow.f64 x 6))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 6))) 1))
(*.f64 -11/15120 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 -11/15120 (pow.f64 x 6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) (-.f64 1 (*.f64 1/6 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) (+.f64 1 (*.f64 -1/6 (*.f64 x x))))
(fma.f64 1/6 (*.f64 x x) (expm1.f64 (log1p.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/216) 3) (pow.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (-.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 1/6 (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/216) (*.f64 (pow.f64 x 6) 1/216)) (-.f64 (*.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3)) (*.f64 (*.f64 (pow.f64 x 6) 1/216) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/10077696) (pow.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3) 3)) 1) (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (+.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 -1/6 (*.f64 x x)))))) (-.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/46656) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 6)) (*.f64 (*.f64 (pow.f64 x 6) 1/216) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/10077696 (pow.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) 3) 3)) (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) (+.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) (*.f64 (*.f64 x x) -1/6))))) (+.f64 (fma.f64 (pow.f64 x 12) 1/46656 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) 6)) (*.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) 3) (*.f64 (pow.f64 x 6) -1/216))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/10077696 (pow.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) 3) 3)) (*.f64 (+.f64 (fma.f64 (pow.f64 x 12) 1/46656 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) 6)) (*.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) 3) (*.f64 (pow.f64 x 6) -1/216))) (fma.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) (+.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))) (*.f64 (*.f64 x x) -1/6)) (*.f64 (pow.f64 x 4) 1/36))))
(pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 1)
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 2)
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 3)
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 2))
(fabs.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))))
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 3))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 1))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 1 (*.f64 1/6 (*.f64 x x)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 2) (cbrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 x (*.f64 1/6 x))) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.34%
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1078×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
988×add-cube-cbrt
980×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2140913
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify40.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
192299
2347299
31900299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(tan.f64 x)
0.02%
(/.f64 1 (tan.f64 x))
0.04%
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
6.06%
(-.f64 x (sin.f64 x))
Compiler

Compiled 24 to 10 computations (58.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite138.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1336×associate-*r/
968×*-commutative
962×associate-*l/
644×associate-/r*
584×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
120932
2274132
Stop Event
node limit
Counts
2 → 185
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (tan.f64 x))
Outputs
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(-.f64 x (sin.f64 x)) (tan.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))))))

simplify150.0ms (0.8%)

Algorithm
egg-herbie
Rules
1164×associate-/l*
802×times-frac
636×associate-/r*
590×associate-*l*
568×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05278643
115048255
272768255
Stop Event
node limit
Counts
209 → 287
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 1 (/.f64 x (tan.f64 x))) (*.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1)
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(/.f64 1 (/.f64 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (neg.f64 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)))
(/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))) (cbrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 (tan.f64 x) (/.f64 1 (+.f64 x (sin.f64 x)))))
(/.f64 (+.f64 x (sin.f64 x)) (/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 (tan.f64 x) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (-.f64 x (sin.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 -1 (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(/.f64 -1 (/.f64 (*.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (neg.f64 (tan.f64 x))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (/.f64 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (+.f64 x (sin.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 x (sin.f64 x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (/.f64 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))) (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) -2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) -1)
(pow.f64 (/.f64 1 (tan.f64 x)) 1)
(pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 3)) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(fma.f64 -1/3 x (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x))))
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (/.f64 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (/.f64 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (*.f64 1 (/.f64 x (tan.f64 x))) (*.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 1 (/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))) (cbrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 (tan.f64 x) (/.f64 1 (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/.f64 (+.f64 x (sin.f64 x)) (/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 (tan.f64 x) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (-.f64 x (sin.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 -1 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 -1 (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/.f64 -1 (/.f64 (*.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (neg.f64 (tan.f64 x))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x)) (sqrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (/.f64 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (/.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (tan.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x))))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
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(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) 1) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) (sqrt.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (neg.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) -1) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) (sqrt.f64 (neg.f64 (tan.f64 x)))) (sqrt.f64 (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x))))) (cbrt.f64 (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) (neg.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -1) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) 1) (sqrt.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (*.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
(/.f64 (-.f64 x (sin.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 x))) (*.f64 (sqrt.f64 (tan.f64 x)) (fabs.f64 (cbrt.f64 (tan.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1) (cbrt.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (tan.f64 x)))) (sqrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) 1) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (neg.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) -1) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x)))) (sqrt.f64 (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x))))) (cbrt.f64 (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))
(fabs.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (/.f64 1 (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1)
(/.f64 1 (tan.f64 x))
(*.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 1 (tan.f64 x)) 1)
(/.f64 1 (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))
(*.f64 -1 (/.f64 -1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(*.f64 (cos.f64 x) (/.f64 1 (sin.f64 x)))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (/.f64 -1 (tan.f64 x)) -1)
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))
(pow.f64 (sqrt.f64 (tan.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 1) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 1) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))
(pow.f64 (tan.f64 x) -1)
(/.f64 1 (tan.f64 x))
(pow.f64 (/.f64 1 (tan.f64 x)) 1)
(/.f64 1 (tan.f64 x))
(pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)
(/.f64 1 (tan.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)
(/.f64 1 (tan.f64 x))
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 x) 3)))
(sqrt.f64 (pow.f64 (tan.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(/.f64 (sin.f64 x) x)
0.04%
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
6.02%
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
Compiler

Compiled 27 to 6 computations (77.8% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
0.0ms
x
@inf
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
0.0ms
x
@0
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
0.0ms
x
@-inf
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
0.0ms
x
@inf
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))

rewrite123.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1720×associate-/l*
1098×*-commutative
676×swap-sqr
572×associate-/r/
384×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0963
120063
2295859
Stop Event
node limit
Counts
3 → 243
Calls
Call 1
Inputs
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
Outputs
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((#(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 (sin.f64 x) (neg.f64 (/.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 (sqrt.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (neg.f64 (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 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egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 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 sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))))

simplify189.0ms (1%)

Algorithm
egg-herbie
Rules
802×associate-+l+
800×associate-*r*
792×associate-+r+
782×fma-def
702×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05779759
115829405
270949405
Stop Event
node limit
Counts
271 → 325
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/45 (pow.f64 x 4))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
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)))))
(+.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
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(*.f64 1 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) (sqrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 x (sin.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) 2))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 x (sin.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 x (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 (cos.f64 x) 1))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (cos.f64 x) (sin.f64 x))) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cos.f64 x) (sin.f64 x))) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 x (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 x (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (cos.f64 x) 1) x) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) x) (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) x) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sin.f64 x)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) 1) x))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) 1) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (sin.f64 x) x)) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (cos.f64 x) -1) (/.f64 x (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) x)
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 x 1))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) -1) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 (sin.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) 1)) x)
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) -1) (/.f64 x (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) 1) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 x)))
(pow.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) 3)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 x (neg.f64 (sin.f64 x)))))
(neg.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 x)) 1))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (sin.f64 x) (neg.f64 (/.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 (sqrt.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (neg.f64 (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 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.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 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 x) 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)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (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 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(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)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 -1/3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/3 1)
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(/.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 x) 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)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(/.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 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.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 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(/.f64 (sin.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(fabs.f64 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(tan.f64 x)
0.04%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
6.06%
(-.f64 x (sin.f64 x))
6.07%
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
Compiler

Compiled 34 to 7 computations (79.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
0.0ms
x
@inf
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
0.0ms
x
@-inf
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))

rewrite118.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1438×associate-*r/
1336×associate-/r*
1272×associate-/l*
1076×associate-*l/
1000×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
120821
2279421
Stop Event
node limit
Counts
1 → 193
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
Outputs
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simplify169.0ms (0.9%)

Algorithm
egg-herbie
Rules
1118×associate-/l*
742×distribute-lft-neg-in
686×times-frac
554×associate-/l/
524×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05008471
112918287
262218239
Stop Event
node limit
Counts
205 → 283
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 0)
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (/.f64 x (tan.f64 x)))
(+.f64 (+.f64 0 (/.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1)
(-.f64 (+.f64 0 (/.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) 1)
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
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(/.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1) (cbrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x))) (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) 1) (+.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3)) 1) (+.f64 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x))) (+.f64 (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) 1) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x (sin.f64 x)))) 1) (neg.f64 (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) (sqrt.f64 (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (-.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)) (cbrt.f64 (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (/.f64 -1 (tan.f64 x))) (+.f64 x (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (/.f64 -1 (tan.f64 x))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 x)) 1)) (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) 1) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (neg.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x)))) (sqrt.f64 (neg.f64 (tan.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x))))) (cbrt.f64 (neg.f64 (tan.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) -1) (tan.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) 1) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (sqrt.f64 (+.f64 x (sin.f64 x)))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) 1) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) 1) (sqrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1) (cbrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (tan.f64 x)))) (sqrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (tan.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) 1) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (*.f64 (tan.f64 x) (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 0)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (/.f64 x (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (+.f64 0 (/.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (+.f64 0 (/.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
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(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (tan.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) 1) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (*.f64 (tan.f64 x) (cbrt.f64 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))
(fabs.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

eval876.0ms (4.4%)

Compiler

Compiled 37452 to 15862 computations (57.6% saved)

prune467.0ms (2.4%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New1599201619
Fresh459
Picked011
Done055
Total1603311634
Error
0.05%
Counts
1634 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
93.11%
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
1.07%
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
2.85%
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
3.53%
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
51.16%
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (cos.f64 x)))
68.08%
(/.f64 (-.f64 (*.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8)))) (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2)) (-.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
43.48%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
12.83%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
12.63%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
13.33%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
14.87%
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
68.12%
(/.f64 1 (/.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2))))
43.48%
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
43.42%
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
44.62%
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
0.48%
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.49%
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.78%
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
4.05%
(+.f64 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
27.69%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/216)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
1.24%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
43.48%
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
12.64%
(*.f64 (/.f64 1 (tan.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))))
44.62%
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
44.02%
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
43.41%
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
2.79%
(*.f64 x (*.f64 1/6 x))
2.86%
(*.f64 1/6 (*.f64 x x))
20.74%
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
43.49%
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
6.31%
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
Compiler

Compiled 1033 to 787 computations (23.8% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.1%
(*.f64 -11/15120 (pow.f64 x 6))
0.27%
(*.f64 -23/360 (pow.f64 x 4))
0.35%
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
Compiler

Compiled 98 to 80 computations (18.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
0.0ms
x
@-inf
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
0.0ms
x
@inf
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
0.0ms
x
@inf
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.0ms
x
@0
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
536×associate-+l+
516×add-sqr-sqrt
486×add-exp-log
486×add-cbrt-cube
486×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02480
153468
2658068
Stop Event
node limit
Counts
2 → 77
Calls
Call 1
Inputs
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (sqrt.f64 1/6) (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/6) (*.f64 x (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (sqrt.f64 (*.f64 x (sqrt.f64 1/6)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (sqrt.f64 1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) (-.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -143/604800 (pow.f64 x 8)))) (-.f64 1 (+.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (-.f64 1 (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) (-.f64 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simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
1306×distribute-lft-in
1256×distribute-rgt-in
764×associate-+l+
638×associate-+r+
608×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02336583
15705887
219945865
Stop Event
node limit
Counts
101 → 124
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
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(fma.f64 (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 2) (cbrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 (sqrt.f64 1/6) (*.f64 x (sqrt.f64 1/6))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 (sqrt.f64 1/6) (*.f64 x (*.f64 x (sqrt.f64 1/6))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 1 (*.f64 1/6 (*.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 x (sqrt.f64 1/6))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 x (sqrt.f64 1/6))))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (*.f64 (*.f64 (sqrt.f64 1/6) x) (cbrt.f64 (*.f64 (sqrt.f64 1/6) x))))
(*.f64 x (*.f64 (*.f64 (sqrt.f64 1/6) (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 (sqrt.f64 1/6) x))))
(*.f64 x (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 (*.f64 x x) 1/6)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (sqrt.f64 (*.f64 x (sqrt.f64 1/6)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/6))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (sqrt.f64 1/6)) x)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (*.f64 (*.f64 (sqrt.f64 1/6) x) (cbrt.f64 (*.f64 (sqrt.f64 1/6) x))))
(*.f64 x (*.f64 (*.f64 (sqrt.f64 1/6) (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 (sqrt.f64 1/6) x))))
(*.f64 x (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) (-.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))) 1)
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -143/604800 (pow.f64 x 8)))) (-.f64 1 (+.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -143/604800 (pow.f64 x 8)))) 1) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (expm1.f64 (log1p.f64 (*.f64 -143/604800 (pow.f64 x 8)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (-.f64 1 (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 1) (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8))))
(+.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8))) (expm1.f64 (log1p.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) (-.f64 1 (*.f64 1/6 (*.f64 x x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 1) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (expm1.f64 (log1p.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))))
(-.f64 (/.f64 (*.f64 121/228614400 (pow.f64 x 12)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 23/360 (pow.f64 x 4)))) (-.f64 (/.f64 (*.f64 (pow.f64 x 8) 529/129600) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 23/360 (pow.f64 x 4)))) (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 (*.f64 121/228614400 (pow.f64 x 12)) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 23/360))) (/.f64 (*.f64 (pow.f64 x 8) 529/129600) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 23/360)))) (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8))))
(+.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8))) (-.f64 (*.f64 (/.f64 121/228614400 (fma.f64 (pow.f64 x 4) 23/360 (*.f64 -11/15120 (pow.f64 x 6)))) (pow.f64 x 12)) (/.f64 529/129600 (/.f64 (fma.f64 (pow.f64 x 4) 23/360 (*.f64 -11/15120 (pow.f64 x 6))) (pow.f64 x 8)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8))) (-.f64 (*.f64 (/.f64 (pow.f64 x 12) (fma.f64 (pow.f64 x 4) 23/360 (*.f64 -11/15120 (pow.f64 x 6)))) 121/228614400) (*.f64 529/129600 (/.f64 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 23/360 (*.f64 -11/15120 (pow.f64 x 6)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 16) 20449/365783040000) (-.f64 (*.f64 -143/604800 (pow.f64 x 8)) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (-.f64 (/.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2) (-.f64 (*.f64 -143/604800 (pow.f64 x 8)) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 16) 20449/365783040000) (-.f64 (*.f64 -143/604800 (pow.f64 x 8)) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (/.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2) (-.f64 (*.f64 -143/604800 (pow.f64 x 8)) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) (*.f64 1/6 (*.f64 x x)))
(-.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 (/.f64 (pow.f64 x 16) (-.f64 (*.f64 -143/604800 (pow.f64 x 8)) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 20449/365783040000)) (/.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2) (-.f64 (*.f64 -143/604800 (pow.f64 x 8)) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))
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(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 3))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 1))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1 (*.f64 1/6 (*.f64 x x)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 2) (cbrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (*.f64 1/6 (*.f64 x x)))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.15%
(*.f64 x (*.f64 1/6 x))
0.42%
(*.f64 1/6 x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite68.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1104×add-sqr-sqrt
1086×*-un-lft-identity
1030×pow1
1012×add-cube-cbrt
998×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
112020
2137220
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 x (*.f64 1/6 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify45.0ms (0.2%)

Algorithm
egg-herbie
Rules
1460×log-prod
1412×associate-*r*
1266×associate-*l*
1058×associate-+l+
976×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056508
1138442
2536376
34034376
Stop Event
node limit
Counts
34 → 27
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(pow.f64 (*.f64 1/6 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(exp.f64 (log.f64 (*.f64 1/6 x)))
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) x) x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (*.f64 1/6 x) 1)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(log.f64 (pow.f64 (exp.f64 1/6) x))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) 2)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2))
(*.f64 1/6 (*.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) x) x))
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 1/6 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.34%
(*.f64 1/6 (*.f64 x x))
3.92%
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
48.58%
(log.f64 (*.f64 1/6 (*.f64 x x)))
Compiler

Compiled 24 to 12 computations (50% saved)

series28.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
22.0ms
x
@0
(log.f64 (*.f64 1/6 (*.f64 x x)))
6.0ms
x
@inf
(log.f64 (*.f64 1/6 (*.f64 x x)))
0.0ms
x
@-inf
(log.f64 (*.f64 1/6 (*.f64 x x)))
0.0ms
x
@0
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
0.0ms
x
@inf
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))

rewrite62.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1404×add-sqr-sqrt
1384×*-un-lft-identity
1288×add-cube-cbrt
1276×add-cbrt-cube
1262×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
117030
2181830
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(log.f64 (*.f64 1/6 (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 1/6) (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) (log.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))) (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 1/6 x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 1/6) 1) (*.f64 (*.f64 2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 1/6) (log.f64 1/6)) (*.f64 (*.f64 2 (log.f64 x)) (*.f64 2 (log.f64 x)))) (-.f64 (log.f64 1/6) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 1/6) 3) (pow.f64 (*.f64 2 (log.f64 x)) 3)) (+.f64 (*.f64 (log.f64 1/6) (log.f64 1/6)) (-.f64 (*.f64 (*.f64 2 (log.f64 x)) (*.f64 2 (log.f64 x))) (*.f64 (log.f64 1/6) (*.f64 2 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify68.0ms (0.3%)

Algorithm
egg-herbie
Rules
992×associate-/l*
848×associate-/r*
736×associate-*r/
650×unswap-sqr
602×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341469
13371465
213591461
347301461
Stop Event
node limit
Counts
77 → 74
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (log.f64 1/6) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) (log.f64 (*.f64 x (sqrt.f64 1/6))))
(+.f64 0 (log.f64 (*.f64 1/6 (*.f64 x x))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))) (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))
(+.f64 (log.f64 (*.f64 1/6 x)) (log.f64 x))
(+.f64 (*.f64 (log.f64 1/6) 1) (*.f64 (*.f64 2 (log.f64 x)) 1))
(-.f64 (+.f64 1 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1)
(*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (log.f64 1/6) (log.f64 1/6)) (*.f64 (*.f64 2 (log.f64 x)) (*.f64 2 (log.f64 x)))) (-.f64 (log.f64 1/6) (*.f64 2 (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/6) 3) (pow.f64 (*.f64 2 (log.f64 x)) 3)) (+.f64 (*.f64 (log.f64 1/6) (log.f64 1/6)) (-.f64 (*.f64 (*.f64 2 (log.f64 x)) (*.f64 2 (log.f64 x))) (*.f64 (log.f64 1/6) (*.f64 2 (log.f64 x))))))
(pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(exp.f64 (log.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1))
(log1p.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (*.f64 x x) 1/6)
(*.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (*.f64 1/6 x) x)
(*.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 (*.f64 1/6 x) 1) x)
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/6 (*.f64 x x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
Outputs
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (log.f64 1/6) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) (log.f64 (*.f64 x (sqrt.f64 1/6))))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 0 (log.f64 (*.f64 1/6 (*.f64 x x))))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))) (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))) (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6)))))
(+.f64 (log.f64 (*.f64 1/6 x)) (log.f64 x))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 (log.f64 1/6) 1) (*.f64 (*.f64 2 (log.f64 x)) 1))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(-.f64 (+.f64 1 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1)
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1)
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(*.f64 1 (log.f64 (*.f64 1/6 (*.f64 x x))))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(/.f64 (-.f64 (*.f64 (log.f64 1/6) (log.f64 1/6)) (*.f64 (*.f64 2 (log.f64 x)) (*.f64 2 (log.f64 x)))) (-.f64 (log.f64 1/6) (*.f64 2 (log.f64 x))))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(/.f64 (+.f64 (pow.f64 (log.f64 1/6) 3) (pow.f64 (*.f64 2 (log.f64 x)) 3)) (+.f64 (*.f64 (log.f64 1/6) (log.f64 1/6)) (-.f64 (*.f64 (*.f64 2 (log.f64 x)) (*.f64 2 (log.f64 x))) (*.f64 (log.f64 1/6) (*.f64 2 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/6) 3) (pow.f64 (*.f64 2 (log.f64 x)) 3)) (fma.f64 (log.f64 1/6) (log.f64 1/6) (*.f64 (*.f64 2 (log.f64 x)) (-.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6)))))
(/.f64 (fma.f64 8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 1/6) 3)) (fma.f64 (*.f64 2 (log.f64 x)) (-.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6)) (*.f64 (log.f64 1/6) (log.f64 1/6))))
(/.f64 (fma.f64 8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 1/6) 3)) (fma.f64 (log.f64 x) (*.f64 (log.f64 x) 4) (*.f64 (log.f64 1/6) (fma.f64 (log.f64 x) -2 (log.f64 1/6)))))
(pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1)
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 3)
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(pow.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3) 1/3)
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 2))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(exp.f64 (log.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(log.f64 (*.f64 x (*.f64 x 1/6)))
(log1p.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(log1p.f64 (fma.f64 1/6 (*.f64 x x) -1))
(log1p.f64 (fma.f64 x (*.f64 x 1/6) -1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(*.f64 x (*.f64 x 1/6))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 x (*.f64 1/6 x))
(*.f64 x (*.f64 x 1/6))
(*.f64 (*.f64 x x) 1/6)
(*.f64 x (*.f64 x 1/6))
(*.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 x (*.f64 x 1/6))
(*.f64 1 (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x 1/6))
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(*.f64 x (*.f64 x 1/6))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 1/6 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 x (*.f64 x 1/6))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 x (*.f64 x 1/6))))
(*.f64 (*.f64 1/6 x) x)
(*.f64 x (*.f64 x 1/6))
(*.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 1/6 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (*.f64 (*.f64 1/6 x) 1) x)
(*.f64 x (*.f64 x 1/6))
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (*.f64 x 1/6))
(*.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (*.f64 x 1/6))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 x (*.f64 x 1/6))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 x (*.f64 x 1/6))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 x (*.f64 x 1/6))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 x (*.f64 x 1/6))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 1/6)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/6 (*.f64 x x))))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 x 1/6))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 1/6)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 1/6)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(fabs.f64 (*.f64 x (*.f64 x 1/6)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(*.f64 x (*.f64 x 1/6))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 x (*.f64 x 1/6))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 x (*.f64 x 1/6))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 x (*.f64 x 1/6))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
0.08%
(*.f64 -1/120 (pow.f64 x 5))
0.2%
(*.f64 1/6 (pow.f64 x 3))
12.49%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
Compiler

Compiled 49 to 37 computations (24.5% saved)

series4.0ms (0%)

Counts
4 → 15
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
1.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
0.0ms
x
@-inf
(*.f64 -1/120 (pow.f64 x 5))
0.0ms
x
@0
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
0.0ms
x
@0
(*.f64 -1/120 (pow.f64 x 5))

rewrite100.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1326×associate-*r/
1138×associate-*l/
852×associate-/r*
698×associate-/l*
330×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01590
133490
2410490
Stop Event
node limit
Counts
4 → 139
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/120 (pow.f64 x 5))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) (*.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 1) (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 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(cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))))))
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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/6 (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) -1/120 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) 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simplify111.0ms (0.6%)

Algorithm
egg-herbie
Rules
810×distribute-lft-neg-in
750×distribute-rgt-neg-in
610×associate-*r*
540×associate-+r+
516×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03718520
19607660
249457584
Stop Event
node limit
Counts
154 → 210
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -19/113400 (pow.f64 x 8)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6)))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/120 (pow.f64 x 5))
(*.f64 -1/120 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))) 1)
(*.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 1)
(*.f64 1 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) (*.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (neg.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 1) (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 x) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) -1)
(neg.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 -1/120 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/120 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 x 5) 3)) 1/3)
(sqrt.f64 (*.f64 1/14400 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 -1/120) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/120 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 x 5) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 x 5))))
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(exp.f64 (*.f64 (log.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/6 (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) -1/120 (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 1/14400 (pow.f64 x 10))) (cbrt.f64 (*.f64 -1/120 (pow.f64 x 5))) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 x (cbrt.f64 1/6)) (*.f64 -1/120 (pow.f64 x 5)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -1/1080 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -19/113400 (pow.f64 x 8)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -19/113400 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -1/1080 (pow.f64 x 6)))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))))
(*.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (/.f64 1/6 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (/.f64 1/6 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (/.f64 1/6 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))))
(*.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (/.f64 1/6 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (/.f64 1/6 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (/.f64 1/6 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/120 (pow.f64 x 5))
(*.f64 -1/120 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))) 1)
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (/.f64 1 (tan.f64 x)))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 1)
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 1 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (tan.f64 x))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 2))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) (*.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (tan.f64 x))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (neg.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 -1 (tan.f64 x)))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 1) (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (tan.f64 x)))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (tan.f64 x)))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 1)
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 2)
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))) 3)
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 3) 1/3)
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(pow.f64 (/.f64 (tan.f64 x) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) -1)
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(neg.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x)) 3))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
(/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) (tan.f64 x))))
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(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
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(/.f64 (fma.f64 (*.f64 x (pow.f64 x 8)) 1/216 (*.f64 -1/1728000 (pow.f64 (pow.f64 x 5) 3))) (fma.f64 1/14400 (pow.f64 x 10) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/720)))))
(pow.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) 1)
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(pow.f64 (sqrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 2)
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(pow.f64 (cbrt.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 3)
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(pow.f64 (pow.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) 3) 1/3)
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(sqrt.f64 (pow.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) 2))
(fabs.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(log.f64 (exp.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) 3))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(expm1.f64 (log1p.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(exp.f64 (log.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))) 1))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(log1p.f64 (expm1.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/6 (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) -1/120 (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) 2) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) 2))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 2) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/120 (pow.f64 x 5)) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 2))
(fma.f64 (cbrt.f64 (*.f64 1/14400 (pow.f64 x 10))) (cbrt.f64 (*.f64 -1/120 (pow.f64 x 5))) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 x (cbrt.f64 1/6)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.08%
(*.f64 1/5040 (pow.f64 x 7))
0.08%
(*.f64 -1/120 (pow.f64 x 5))
0.2%
(*.f64 1/6 (pow.f64 x 3))
12.49%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
Compiler

Compiled 121 to 96 computations (20.7% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
1.0ms
x
@0
(*.f64 1/5040 (pow.f64 x 7))
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
0.0ms
x
@-inf
(*.f64 1/5040 (pow.f64 x 7))
0.0ms
x
@0
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))

rewrite119.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
564×add-sqr-sqrt
550×associate-+l+
534×add-exp-log
534×add-cbrt-cube
534×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02578
157278
2726478
Stop Event
node limit
Counts
2 → 47
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(*.f64 1/5040 (pow.f64 x 7))
Outputs
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(sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 1) (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 2)))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/5040) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/5040 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/25401600 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5040) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5040 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/5040 (pow.f64 x 7))))))))

simplify84.0ms (0.4%)

Algorithm
egg-herbie
Rules
668×associate-*r/
646×+-commutative
634×unswap-sqr
564×associate-/l*
552×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01723403
14213379
215213379
362723379
Stop Event
node limit
Counts
59 → 88
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x)))
(+.f64 (*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (+.f64 (*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (+.f64 (*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))))
(*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x)))
(+.f64 (*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (+.f64 (*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (+.f64 (*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)))) 1)
(*.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 1)
(*.f64 1 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) (sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (/.f64 1 (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))))
(*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (/.f64 1 (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 1) (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 x) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) -1)
(neg.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) 3) (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/5040) (pow.f64 x 7/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/5040 (pow.f64 x 7))) 3)
(pow.f64 (pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 3) 1/3)
(sqrt.f64 (*.f64 1/25401600 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 1/5040) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5040 (pow.f64 x 7)))))
(cbrt.f64 (pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 7))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 7))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/5040 (pow.f64 x 7))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))))
(*.f64 -1/362880 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 9)) (sin.f64 x)))
(*.f64 -1/362880 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 9))))
(*.f64 -1/362880 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 9)))
(/.f64 (*.f64 -1/362880 (pow.f64 x 9)) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (tan.f64 x)))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7)))))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 1)
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 2)
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 3)
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 3) 1/3)
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(pow.f64 (/.f64 (tan.f64 x) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))) -1)
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(neg.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 2))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)))))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x)) 3))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))) 1))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 7)))) 1)
(*.f64 1/5040 (pow.f64 x 7))
(pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 1)
(*.f64 1/5040 (pow.f64 x 7))
(pow.f64 (*.f64 (sqrt.f64 1/5040) (pow.f64 x 7/2)) 2)
(*.f64 1/5040 (pow.f64 x 7))
(pow.f64 (cbrt.f64 (*.f64 1/5040 (pow.f64 x 7))) 3)
(*.f64 1/5040 (pow.f64 x 7))
(pow.f64 (pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 3) 1/3)
(*.f64 1/5040 (pow.f64 x 7))
(sqrt.f64 (*.f64 1/25401600 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 1/5040) (pow.f64 x 7)))
(*.f64 1/5040 (pow.f64 x 7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5040 (pow.f64 x 7)))))
(*.f64 1/5040 (pow.f64 x 7))
(cbrt.f64 (pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 3))
(*.f64 1/5040 (pow.f64 x 7))
(expm1.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 7))))
(*.f64 1/5040 (pow.f64 x 7))
(exp.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 7))))
(*.f64 1/5040 (pow.f64 x 7))
(exp.f64 (*.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 7))) 1))
(*.f64 1/5040 (pow.f64 x 7))
(log1p.f64 (expm1.f64 (*.f64 1/5040 (pow.f64 x 7))))
(*.f64 1/5040 (pow.f64 x 7))

eval330.0ms (1.7%)

Compiler

Compiled 15679 to 11966 computations (23.7% saved)

prune118.0ms (0.6%)

Pruning

36 alts after pruning (26 fresh and 10 done)

PrunedKeptTotal
New58311594
Fresh51520
Picked011
Done1910
Total58936625
Error
0.02%
Counts
625 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
93.11%
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
1.07%
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
2.85%
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
3.53%
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
51.16%
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (cos.f64 x)))
68.08%
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8)))) (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2)) (-.f64 (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
43.48%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
12.63%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
13.33%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
31.36%
(/.f64 (+.f64 (exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
33.54%
(/.f64 (+.f64 (cbrt.f64 (*.f64 (*.f64 x (pow.f64 x 8)) 1/216)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
14.87%
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
43.48%
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
43.42%
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
44.62%
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
0.48%
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.97%
(+.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.35%
(+.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.49%
(+.f64 (*.f64 (*.f64 x x) 1/6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.78%
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
4.05%
(+.f64 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
27.69%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/216)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
44.61%
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
43.48%
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
12.64%
(*.f64 (/.f64 1 (tan.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))))
44.62%
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
44.02%
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
43.41%
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
3.66%
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3))
43.54%
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
2.79%
(*.f64 x (*.f64 1/6 x))
23.93%
(*.f64 x (sqrt.f64 (*.f64 1/36 (*.f64 x x))))
2.86%
(*.f64 1/6 (*.f64 x x))
20.74%
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
43.49%
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
6.31%
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
Compiler

Compiled 1068 to 816 computations (23.6% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1%
(*.f64 -11/15120 (pow.f64 x 6))
0.16%
(*.f64 (*.f64 x (sqrt.f64 1/6)) x)
0.2%
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
0.27%
(*.f64 -23/360 (pow.f64 x 4))
Compiler

Compiled 109 to 87 computations (20.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
0.0ms
x
@0
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
0.0ms
x
@0
(*.f64 (*.f64 x (sqrt.f64 1/6)) x)
0.0ms
x
@inf
(*.f64 (*.f64 x (sqrt.f64 1/6)) x)
0.0ms
x
@-inf
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))

rewrite56.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1560×add-sqr-sqrt
1540×*-un-lft-identity
1430×add-cube-cbrt
1406×add-cbrt-cube
1392×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
117830
2204930
Stop Event
node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
(*.f64 (*.f64 x (sqrt.f64 1/6)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))))))

simplify47.0ms (0.2%)

Algorithm
egg-herbie
Rules
1106×distribute-lft-in
1104×distribute-rgt-in
968×fma-def
964×associate-+r+
904×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062960
1156720
2653720
32174720
Stop Event
node limit
Counts
48 → 30
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2))
(log.f64 (exp.f64 (*.f64 1/6 (*.f64 x x))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 1)
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (sqrt.f64 1/6))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))
Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(log.f64 (exp.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 1)
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 1)
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 2)
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 3)
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 3) 1/3)
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 2))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (sqrt.f64 1/6))))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6))) 3))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))) 1))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (sqrt.f64 1/6)))))
(*.f64 (sqrt.f64 1/6) (*.f64 x x))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 4)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.42%
(*.f64 1/6 x)
9.51%
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
Compiler

Compiled 28 to 22 computations (21.4% saved)

series8.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@0
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
0.0ms
x
@inf
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)

rewrite62.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1898×add-sqr-sqrt
1872×*-un-lft-identity
1764×add-cube-cbrt
1748×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
119620
2264020
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/6 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/6 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/6 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 x)) (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/6 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/6 x) 2) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (+.f64 (*.f64 1/6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (-.f64 (fma.f64 1/6 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1))) (-.f64 1 (fma.f64 1/6 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1)) (fma.f64 1/6 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/6 x 1)) (sqrt.f64 (fma.f64 1/6 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x 1)) 2) (cbrt.f64 (fma.f64 1/6 x 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (fma.f64 1/6 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (fma.f64 1/6 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 1/6 x 1)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/6 x 1) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/6 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)) (+.f64 (*.f64 1/6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) x) (+.f64 (*.f64 1/6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) x) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/6 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/6 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/6 x))))))))

simplify69.0ms (0.3%)

Algorithm
egg-herbie
Rules
1496×associate--l+
1412×associate-+r-
1174×associate-+l-
780×distribute-lft-in
738×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591534
13651466
212171454
355681454
Stop Event
node limit
Counts
90 → 86
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (fma.f64 1/6 x -1))
(+.f64 1 (*.f64 (fma.f64 1/6 x -1) 1))
(+.f64 (*.f64 1/6 x) 0)
(+.f64 (fma.f64 1/6 x 1) -1)
(+.f64 (fma.f64 1/6 x -1) 1)
(+.f64 -1 (fma.f64 1/6 x 1))
(*.f64 1 (*.f64 1/6 x))
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 (*.f64 1/6 x) 1)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6))
(*.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6))
(*.f64 (cbrt.f64 (*.f64 1/6 x)) (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 x) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2))))
(*.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/6 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/6 x) 2) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (+.f64 (*.f64 1/6 x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (-.f64 (fma.f64 1/6 x 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 x 1) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1))) (-.f64 1 (fma.f64 1/6 x -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1)) (fma.f64 1/6 x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 x) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2))))
(pow.f64 (*.f64 1/6 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(exp.f64 (log.f64 (*.f64 1/6 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(fma.f64 1 (fma.f64 1/6 x 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 1/6 x 1)) (sqrt.f64 (fma.f64 1/6 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x 1)) 2) (cbrt.f64 (fma.f64 1/6 x 1)) -1)
(+.f64 x (*.f64 x (fma.f64 1/6 x -1)))
(+.f64 x (*.f64 (fma.f64 1/6 x -1) x))
(+.f64 (*.f64 x (fma.f64 1/6 x 1)) (*.f64 x -1))
(+.f64 (*.f64 (fma.f64 1/6 x 1) x) (*.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/6 x)))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)) (+.f64 (*.f64 1/6 x) 2))
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) x) (+.f64 (*.f64 1/6 x) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) x) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))
(pow.f64 (*.f64 x (*.f64 1/6 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/6 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/6 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/6 x))))
(exp.f64 (log.f64 (*.f64 x (*.f64 1/6 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/6 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/6 x))))
Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(+.f64 1 (fma.f64 1/6 x -1))
(*.f64 1/6 x)
(+.f64 1 (*.f64 (fma.f64 1/6 x -1) 1))
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(+.f64 (fma.f64 1/6 x 1) -1)
(*.f64 1/6 x)
(+.f64 (fma.f64 1/6 x -1) 1)
(*.f64 1/6 x)
(+.f64 -1 (fma.f64 1/6 x 1))
(*.f64 1/6 x)
(*.f64 1 (*.f64 1/6 x))
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 (*.f64 1/6 x) 1)
(*.f64 1/6 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6))
(*.f64 1/6 x)
(*.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6))
(*.f64 1/6 x)
(*.f64 (cbrt.f64 (*.f64 1/6 x)) (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2))
(*.f64 1/6 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (/.f64 1 (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (fma.f64 1/6 x 2))
(/.f64 (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x 2)) (fma.f64 1/6 x 2))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 2 (fma.f64 1/6 x (pow.f64 (fma.f64 1/6 x 1) 2))))
(*.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/6 x)
(*.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/6 x)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/6 x 1)) 1))
(*.f64 1/6 x)
(/.f64 1 (/.f64 (+.f64 (*.f64 1/6 x) 2) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (/.f64 1 (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (fma.f64 1/6 x 2))
(/.f64 (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x 2)) (fma.f64 1/6 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 2 (fma.f64 1/6 x (pow.f64 (fma.f64 1/6 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (+.f64 (*.f64 1/6 x) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (/.f64 1 (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (fma.f64 1/6 x 2))
(/.f64 (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x 2)) (fma.f64 1/6 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (-.f64 (fma.f64 1/6 x 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (/.f64 1 (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (fma.f64 1/6 x 2))
(/.f64 (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x 2)) (fma.f64 1/6 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 2 (fma.f64 1/6 x (pow.f64 (fma.f64 1/6 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 x 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 2 (fma.f64 1/6 x (pow.f64 (fma.f64 1/6 x 1) 2))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1))) (-.f64 1 (fma.f64 1/6 x -1)))
(/.f64 (fma.f64 (fma.f64 1/6 x -1) (fma.f64 x -1/6 1) 1) (+.f64 (*.f64 x -1/6) 2))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1)) (fma.f64 1/6 x -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 x -1) 3)) (+.f64 1 (fma.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1) (neg.f64 (fma.f64 1/6 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 x -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/6 x -1) (-.f64 (fma.f64 1/6 x -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 x -1) 3)) (fma.f64 (fma.f64 1/6 x -1) (+.f64 (*.f64 1/6 x) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (/.f64 1 (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (fma.f64 1/6 x 2))
(/.f64 (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x 2)) (fma.f64 1/6 x 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (+.f64 2 (fma.f64 1/6 x (pow.f64 (fma.f64 1/6 x 1) 2))))
(pow.f64 (*.f64 1/6 x) 1)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(*.f64 1/6 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(*.f64 1/6 x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(sqrt.f64 (*.f64 x (*.f64 x 1/36)))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(*.f64 1/6 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))
(*.f64 1/6 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1))
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(fma.f64 1 (fma.f64 1/6 x 1) -1)
(*.f64 1/6 x)
(fma.f64 (sqrt.f64 (fma.f64 1/6 x 1)) (sqrt.f64 (fma.f64 1/6 x 1)) -1)
(*.f64 1/6 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x 1)) 2) (cbrt.f64 (fma.f64 1/6 x 1)) -1)
(*.f64 1/6 x)
(+.f64 x (*.f64 x (fma.f64 1/6 x -1)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(+.f64 x (*.f64 (fma.f64 1/6 x -1) x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(+.f64 (*.f64 x (fma.f64 1/6 x 1)) (*.f64 x -1))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(+.f64 (*.f64 (fma.f64 1/6 x 1) x) (*.f64 -1 x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/6 x)))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)) (+.f64 (*.f64 1/6 x) 2))
(/.f64 x (/.f64 (fma.f64 1/6 x 2) (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (fma.f64 1/6 x 2)) x)
(*.f64 x (/.f64 (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x 2)) (fma.f64 1/6 x 2)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))
(/.f64 x (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)) (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3))))
(/.f64 (-.f64 (*.f64 x (pow.f64 (fma.f64 1/6 x 1) 3)) x) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (/.f64 (+.f64 2 (fma.f64 1/6 x (pow.f64 (fma.f64 1/6 x 1) 2))) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) x) (+.f64 (*.f64 1/6 x) 2))
(/.f64 x (/.f64 (fma.f64 1/6 x 2) (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 2)) (fma.f64 1/6 x 2)) x)
(*.f64 x (/.f64 (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x 2)) (fma.f64 1/6 x 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) x) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))
(/.f64 x (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)) (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3))))
(/.f64 (-.f64 (*.f64 x (pow.f64 (fma.f64 1/6 x 1) 3)) x) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (fma.f64 1/6 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 x 1) 3)) (/.f64 (+.f64 2 (fma.f64 1/6 x (pow.f64 (fma.f64 1/6 x 1) 2))) x))
(pow.f64 (*.f64 x (*.f64 1/6 x)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/6 x))) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/6 x)))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/6 x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (log.f64 (*.f64 x (*.f64 1/6 x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/6 x))) 1))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/6 x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2%
(*.f64 (pow.f64 x 4) 1/36)
18.17%
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (pow.f64 x 4) 1/36)
0.0ms
x
@0
(*.f64 (pow.f64 x 4) 1/36)
0.0ms
x
@0
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
0.0ms
x
@inf
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))

rewrite60.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1520×add-sqr-sqrt
1496×*-un-lft-identity
1406×add-cube-cbrt
1396×add-cbrt-cube
1378×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
118526
2203226
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(*.f64 (pow.f64 x 4) 1/36)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 4) 1/36)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/36) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/36) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 1/36)))))))

simplify95.0ms (0.5%)

Algorithm
egg-herbie
Rules
1414×fma-def
1294×distribute-lft-out
1168×unswap-sqr
846×*-commutative
616×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089887
1219887
2824887
33346887
45750887
Stop Event
node limit
Counts
63 → 43
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(*.f64 1/6 (*.f64 x x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 (*.f64 x x) 1/6)
(*.f64 (*.f64 x x) (pow.f64 1/36 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))
(*.f64 (pow.f64 1/36 1/2) (*.f64 x x))
(*.f64 (pow.f64 1 1/2) (*.f64 1/6 (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 1/2))
(pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1/2)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(fabs.f64 (*.f64 1/6 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) 1/36)) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/36) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/36) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 1/36)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 1/36)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(*.f64 1/36 (pow.f64 x 4))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1 (*.f64 1/6 (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (*.f64 x x) 1/6)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (*.f64 x x) (pow.f64 1/36 1/2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(*.f64 (pow.f64 1/36 1/2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (pow.f64 1 1/2) (*.f64 1/6 (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1/2)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(fabs.f64 (*.f64 1/6 (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)) 1/2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) 1/36)) 1)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 2)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 3)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/36) 3) 1/3)
(*.f64 1/36 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))
(*.f64 1/36 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))
(*.f64 1/36 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/36) 3))
(*.f64 1/36 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 1/36 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 1/36 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/36)) 1))
(*.f64 1/36 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 1/36 (pow.f64 x 4))

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(tan.f64 x)
0.03%
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
0.04%
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
6.06%
(-.f64 x (sin.f64 x))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite121.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1532×associate-*l/
1372×associate-/r*
1042×*-commutative
972×associate-/l*
620×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01048
121642
2294742
Stop Event
node limit
Counts
2 → 152
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 x (tan.f64 x))) (*.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (tan.f64 x)) (neg.f64 x)) (*.f64 (/.f64 -1 (tan.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (pow.f64 (/.f64 1 (-.f64 x (sin.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (sin.f64 x))) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (sqrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (tan.f64 x)) (cbrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (/.f64 1 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 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(-.f64 x (sin.f64 x)))))))))

simplify101.0ms (0.5%)

Algorithm
egg-herbie
Rules
1148×associate-/r/
1086×associate-/l/
574×associate-*r*
568×+-commutative
554×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04276480
112496364
252736352
Stop Event
node limit
Counts
176 → 231
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 6 (pow.f64 x 2))
(+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 23/10 (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 23/10 (+.f64 (*.f64 46187/126000 (pow.f64 x 4)) (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 1 (/.f64 x (tan.f64 x))) (*.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x))))
(+.f64 (*.f64 (/.f64 -1 (tan.f64 x)) (neg.f64 x)) (*.f64 (/.f64 -1 (tan.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1)
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (tan.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (pow.f64 (/.f64 1 (-.f64 x (sin.f64 x))) -1))
(*.f64 (neg.f64 (-.f64 x (sin.f64 x))) (/.f64 -1 (tan.f64 x)))
(*.f64 -1 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (sqrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (tan.f64 x)) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) -1)
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (/.f64 1 (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 -1 (tan.f64 x)) (neg.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 x (sin.f64 x))) -1) (/.f64 1 (tan.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) -1) (pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) 1) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (neg.f64 (tan.f64 x)))) (neg.f64 (neg.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x)))) (sqrt.f64 (neg.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) -1) (neg.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x (sin.f64 x))))) (sqrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 (tan.f64 x)))) (neg.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (-.f64 x (sin.f64 x)))))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(exp.f64 (-.f64 (log.f64 (-.f64 x (sin.f64 x))) (log.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) x) (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (sin.f64 x)) (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) x))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x x)) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) 1)
(*.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(*.f64 (tan.f64 x) (/.f64 1 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x)))))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (tan.f64 x))
(*.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (neg.f64 (tan.f64 x)) (/.f64 -1 (-.f64 x (sin.f64 x))))
(*.f64 -1 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x)))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (tan.f64 x) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (tan.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 1) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) 1) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))) (-.f64 x (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sin.f64 x)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (sin.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 1)
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(exp.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 23/10 (/.f64 6 (*.f64 x x)))
(+.f64 23/10 (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x))))
(+.f64 23/10 (+.f64 (*.f64 46187/126000 (pow.f64 x 4)) (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))))
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(*.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 x (sin.f64 x)) (*.f64 1 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)) (*.f64 1 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))) (-.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (tan.f64 x) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sin.f64 x)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (sin.f64 x))))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 x (sin.f64 x)) (*.f64 1 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)) (*.f64 1 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (-.f64 x (sin.f64 x))))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (-.f64 x (sin.f64 x))))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 1)
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) -1)
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 3)
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 3) 1/3)
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 2))
(fabs.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(log.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 3))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))

localize89.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.27%
(*.f64 -23/360 (pow.f64 x 4))
0.34%
(*.f64 1/6 (*.f64 x x))
3.92%
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
48.58%
(log.f64 (*.f64 1/6 (*.f64 x x)))
Compiler

Compiled 107 to 78 computations (27.1% saved)

eval356.0ms (1.8%)

Compiler

Compiled 15631 to 8510 computations (45.6% saved)

prune210.0ms (1.1%)

Pruning

32 alts after pruning (20 fresh and 12 done)

PrunedKeptTotal
New7516757
Fresh71421
Picked011
Done31114
Total76132793
Error
0.02%
Counts
793 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
93.11%
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
1.07%
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
2.85%
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
3.56%
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
51.16%
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (cos.f64 x)))
68.08%
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8)))) (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2)) (-.f64 (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
43.48%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
12.63%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
13.33%
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
31.36%
(/.f64 (+.f64 (exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
33.54%
(/.f64 (+.f64 (cbrt.f64 (*.f64 (*.f64 x (pow.f64 x 8)) 1/216)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
14.87%
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
3.59%
(/.f64 1 (/.f64 6 (*.f64 x x)))
1.69%
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
1.37%
(/.f64 1 (+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x))))))
2.14%
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
2.21%
(/.f64 1 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
43.42%
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
0.48%
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.35%
(+.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.49%
(+.f64 (*.f64 (*.f64 x x) 1/6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.78%
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
4.05%
(+.f64 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
27.69%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/216)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
43.48%
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
12.64%
(*.f64 (/.f64 1 (tan.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))))
44.02%
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
43.41%
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
2.79%
(*.f64 x (*.f64 1/6 x))
2.86%
(*.f64 1/6 (*.f64 x x))
20.74%
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
43.49%
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
Compiler

Compiled 551 to 419 computations (24% saved)

regimes66.0ms (0.3%)

Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (sqrt.f64 (*.f64 1/36 (*.f64 x x))))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(/.f64 1 (+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x x) 1/6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/216)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(+.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (tan.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))))
(/.f64 (+.f64 (cbrt.f64 (*.f64 (*.f64 x (pow.f64 x 8)) 1/216)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(/.f64 (+.f64 (exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
(+.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (cos.f64 x)))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2))))
(/.f64 (-.f64 (*.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8)))) (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2)) (-.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8)))) (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2)) (-.f64 (fma.f64 (*.f64 x x) 1/6 (*.f64 -143/604800 (pow.f64 x 8))) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))
Outputs
(+.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
Calls

2 calls:

22.0ms
x
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.35%1x
0.35%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 880 to 610 computations (30.7% saved)

regimes35.0ms (0.2%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (sqrt.f64 (*.f64 1/36 (*.f64 x x))))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(/.f64 1 (+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x x) 1/6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/216)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
Outputs
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
Calls

2 calls:

18.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.48%1x
0.48%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 505 to 337 computations (33.3% saved)

regimes35.0ms (0.2%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (sqrt.f64 (*.f64 1/36 (*.f64 x x))))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(/.f64 1 (+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x x) 1/6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/216)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
Outputs
(+.f64 (*.f64 (*.f64 x x) 1/6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
Calls

2 calls:

17.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.49%1x
0.49%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 430 to 278 computations (35.3% saved)

regimes37.0ms (0.2%)

Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (sqrt.f64 (*.f64 1/36 (*.f64 x x))))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(/.f64 1 (+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x))))))
Outputs
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
Calls

2 calls:

15.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.78%1x
0.78%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 308 to 193 computations (37.3% saved)

regimes25.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (sqrt.f64 (*.f64 1/36 (*.f64 x x))))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
Outputs
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
Calls

2 calls:

15.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
1.07%1x
1.07%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 272 to 167 computations (38.6% saved)

regimes22.0ms (0.1%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (sqrt.f64 (*.f64 1/36 (*.f64 x x))))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) 1))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
Outputs
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
Calls

2 calls:

13.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
1.69%1x
1.69%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 217 to 132 computations (39.2% saved)

regimes9.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (sqrt.f64 (*.f64 1/36 (*.f64 x x))))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) (-.f64 x (sin.f64 x)))
Outputs
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
2.14%1x
Compiler

Compiled 95 to 62 computations (34.7% saved)

regimes7.0ms (0%)

Accuracy

Total -26.8b remaining (-1496.8%)

Threshold costs -26.8b (-1496.8%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
2.79%1x
Compiler

Compiled 47 to 31 computations (34% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative
16×+-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047385
166385
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (*.f64 (*.f64 x x) 1/6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
Outputs
(+.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (*.f64 (sqrt.f64 1/6) (*.f64 x (*.f64 x (sqrt.f64 1/6)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2))
(+.f64 (*.f64 (*.f64 x x) 1/6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(+.f64 (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 x 1/6)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(/.f64 1 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(*.f64 x (*.f64 1/6 x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 143 to 112 computations (21.7% saved)

soundness0.0ms (0%)

end88.0ms (0.4%)

Compiler

Compiled 135 to 101 computations (25.2% saved)

Profiling

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