Details

Time bar (total: 13.6s)

analyze343.0ms (2.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
6.2%93.7%0.1%7
15.6%84.3%0.1%8
28.1%71.8%0.1%9
30.4%69.5%0.1%10
38.2%61.7%0.1%11
39.6%60.3%0.1%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample3.3s (24.4%)

Results
1.2s4938×body256valid
1.0s1134×body2048valid
751.0ms1324×body1024valid
360.0ms858×body512valid
8.0msbody4096valid

preprocess19.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
12040
22440
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2))))
(/.f64 (tan.f64 (/.f64 (/.f64 y x) 2)) (sin.f64 (/.f64 (/.f64 y x) 2)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11220
21420
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
33.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
33.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
7.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.5b
(sin.f64 (/.f64 x (*.f64 y 2)))
26.6b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series20.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
y
@-inf
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
y
@inf
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
x
@0
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
y
@inf
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite76.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
621×prod-diff_binary64
522×log-prod_binary64
269×pow-prod-down_binary64
260×pow2_binary64
183×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0938
119338
2262230
Stop Event
node limit
Counts
3 → 106
Calls
Call 1
Inputs
(tan.f64 (/.f64 x (*.f64 y 2)))
(sin.f64 (/.f64 x (*.f64 y 2)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) 1))))))
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2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) 1))))))

simplify78.0ms (0.6%)

Algorithm
egg-herbie
Rules
550×cancel-sign-sub-inv_binary64
319×associate-*l/_binary64
305×distribute-rgt-in_binary64
296×fma-neg_binary64
270×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02372577
17862495
232992347
Stop Event
node limit
Counts
178 → 155
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
1
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
Outputs
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 y) x)
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x y) (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 1/240 (pow.f64 x 5)) (pow.f64 y 5))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 17/40320 (pow.f64 y 7)) (pow.f64 x 7)))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 y) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 5)) (*.f64 1/24 (pow.f64 x 3))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/16 (/.f64 1/768 (/.f64 (pow.f64 y 5) (pow.f64 x 5))))))
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))))))
(-.f64 (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 -1/8 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x x)) (*.f64 (pow.f64 x 5) 1/768))) (/.f64 (pow.f64 y 7) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/384 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 7) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160)))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/645120 (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 x x) (pow.f64 x 3)) 1/24) (*.f64 (pow.f64 x 5) 1/768))) (pow.f64 y 7)) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (fma.f64 1/384 (*.f64 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 y 7)) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/645120 (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (-.f64 (*.f64 1/8 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 y 5)) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) -1/960) (*.f64 (*.f64 x x) (*.f64 (*.f64 1/24 (pow.f64 x 3)) 1/8))) (pow.f64 y 7))))) (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/16 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160 (*.f64 (/.f64 1/384 (pow.f64 y 7)) (*.f64 (pow.f64 x 3) (*.f64 1/24 (pow.f64 x 4))))))))))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 y) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))))
(-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)))
(-.f64 (fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x)) (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) (pow.f64 y 5)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (pow.f64 y 7)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 4) 1/384))))) (pow.f64 y 7))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)))
(-.f64 (fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x)) (+.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) (pow.f64 y 5)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 1/24 (pow.f64 x 3)) -1/384))))) (pow.f64 y 7))))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 y) x)
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
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1
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eval97.0ms (0.7%)

Compiler

Compiled 4770 to 3579 computations (25% saved)

prune81.0ms (0.6%)

Pruning

43 alts after pruning (43 fresh and 0 done)

PrunedKeptTotal
New11243155
Fresh000
Picked101
Done000
Total11343156
Error
23.7b
Counts
156 → 43
Alt Table
Click to see full alt table
StatusErrorProgram
26.9b
1
34.1b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
34.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
35.0b
(/.f64 (expm1.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.6b
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
26.7b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
58.4b
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
34.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
61.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1))))
52.2b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
49.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
59.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
36.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 1/2 y) x)))
28.5b
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
59.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
59.3b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
26.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
26.7b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
59.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
59.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
58.5b
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
51.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
34.5b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
34.1b
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
36.8b
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2))))
26.7b
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
43.6b
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
27.9b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
47.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
49.3b
(/.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
36.8b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
34.4b
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
34.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
29.7b
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
27.4b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
43.6b
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
34.9b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
48.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
34.5b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
34.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
58.5b
(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
49.5b
(/.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1/3)) (sin.f64 (/.f64 x (*.f64 y 2))))
Compiler

Compiled 1611 to 1261 computations (21.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/2 (/.f64 x y))
0.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
26.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series12.0ms (0.1%)

Counts
3 → 24
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1.0ms
y
@inf
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1.0ms
x
@inf
(*.f64 1/2 (/.f64 x y))
1.0ms
y
@0
(*.f64 1/2 (/.f64 x y))
1.0ms
x
@-inf
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

rewrite75.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
895×pow1_binary64
827×add-log-exp_binary64
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
810×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118528
2224828
Stop Event
node limit
Counts
3 → 61
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))))

simplify58.0ms (0.4%)

Algorithm
egg-herbie
Rules
797×fma-neg_binary64
472×unswap-sqr_binary64
470×associate-*l/_binary64
318×associate-*r/_binary64
296×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058566
1157546
2477512
32095498
45848450
Stop Event
node limit
Counts
85 → 77
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080 (*.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y))))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (*.f64 (pow.f64 (/.f64 x y) 6) 61/46080)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))
(-.f64 (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))
(-.f64 (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
0.2b
(*.f64 (/.f64 1/2 y) x)
26.1b
(cos.f64 (*.f64 (/.f64 1/2 y) x))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite66.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
859×pow1_binary64
793×add-log-exp_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
777×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118628
2219828
Stop Event
node limit
Counts
3 → 64
Calls
Call 1
Inputs
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(*.f64 (/.f64 1/2 y) x)
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))

simplify71.0ms (0.5%)

Algorithm
egg-herbie
Rules
797×fma-neg_binary64
488×associate-*l/_binary64
478×unswap-sqr_binary64
333×associate-*r/_binary64
301×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063995
1165966
2487932
32123918
45947870
Stop Event
node limit
Counts
136 → 86
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
Outputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1)
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)))) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) (fma.f64 (pow.f64 (/.f64 x y) 4) -5/384 (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1)
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)))) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) (fma.f64 (pow.f64 (/.f64 x y) 4) -5/384 (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1)
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080 (*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y)))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (pow.f64 x 6) (/.f64 61/46080 (pow.f64 y 6))))))
(+.f64 1 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (*.f64 (pow.f64 (/.f64 x y) 6) 61/46080))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (/.f64 1/2 y))
0.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
0.8b
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
26.1b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 47 to 34 computations (27.7% saved)

series9.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
1.0ms
x
@0
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
0.0ms
y
@-inf
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
0.0ms
x
@inf
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
0.0ms
x
@0
(cos.f64 (*.f64 x (/.f64 1/2 y)))

rewrite83.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
939×pow1_binary64
867×expm1-log1p-u_binary64
866×add-log-exp_binary64
866×log1p-expm1-u_binary64
848×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
120842
2240342
Stop Event
node limit
Counts
4 → 85
Calls
Call 1
Inputs
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 x (/.f64 1/2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1) (+.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))))))

simplify100.0ms (0.7%)

Algorithm
egg-herbie
Rules
525×fma-def_binary64
460×cancel-sign-sub-inv_binary64
398×fma-neg_binary64
293×times-frac_binary64
285×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01071594
13211552
210691468
349301446
Stop Event
node limit
Counts
181 → 116
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4))))) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1)
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1)
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (expm1.f64 1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4))))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (/.f64 (*.f64 1/48 (*.f64 (pow.f64 x 4) (E.f64))) (pow.f64 y 4))) -1)
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1)
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (expm1.f64 1)))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (E.f64) (pow.f64 y 4))) (expm1.f64 1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4)))))) 1)
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 151/46080 (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (E.f64) (/.f64 (*.f64 1/48 (*.f64 (pow.f64 x 4) (E.f64))) (pow.f64 y 4))))) -1)
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (fma.f64 151/46080 (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (pow.f64 x 6)) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)))) -1)
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 151/46080 (*.f64 (pow.f64 x 6) (/.f64 (E.f64) (pow.f64 y 6))) (fma.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (expm1.f64 1))))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 151/46080 (*.f64 (pow.f64 x 6) (/.f64 (E.f64) (pow.f64 y 6))) (fma.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (E.f64) (pow.f64 y 4))) (expm1.f64 1))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1)
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (expm1.f64 1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (/.f64 (*.f64 1/48 (*.f64 (pow.f64 x 4) (E.f64))) (pow.f64 y 4))) -1)
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1)
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (expm1.f64 1)))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (E.f64) (pow.f64 y 4))) (expm1.f64 1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (+.f64 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))))) (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384))))))))) -1)
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (-.f64 (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 1/3072)) (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (*.f64 x x) (*.f64 1/8 (*.f64 (pow.f64 x 4) -5/384))))))) (expm1.f64 1)))
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (*.f64 (pow.f64 x 6) 1/46080))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4))))))
(+.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) (*.f64 (E.f64) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/48) (pow.f64 y 4)) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 5/1536) (*.f64 (pow.f64 x 6) 1/46080)) (pow.f64 y 6)))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1)
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (expm1.f64 1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (/.f64 (*.f64 1/48 (*.f64 (pow.f64 x 4) (E.f64))) (pow.f64 y 4))) -1)
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1)
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (expm1.f64 1)))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (E.f64) (pow.f64 y 4))) (expm1.f64 1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (+.f64 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))))) (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384))))))))) -1)
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (-.f64 (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 1/3072)) (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (*.f64 x x) (*.f64 1/8 (*.f64 (pow.f64 x 4) -5/384))))))) (expm1.f64 1)))
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (*.f64 (pow.f64 x 6) 1/46080))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4))))))
(+.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) (*.f64 (E.f64) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/48) (pow.f64 y 4)) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 5/1536) (*.f64 (pow.f64 x 6) 1/46080)) (pow.f64 y 6)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
7.2b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
8.6b
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
26.5b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
26.5b
(sin.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 67 to 47 computations (29.9% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
1.0ms
y
@inf
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
1.0ms
y
@-inf
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
1.0ms
y
@inf
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
1.0ms
y
@inf
(tan.f64 (*.f64 x (/.f64 1/2 y)))

rewrite107.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
669×log-prod_binary64
333×pow2_binary64
236×pow1/3_binary64
232×expm1-udef_binary64
232×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01438
130738
2382330
Stop Event
node limit
Counts
3 → 107
Calls
Call 1
Inputs
(tan.f64 (*.f64 x (/.f64 1/2 y)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (tan.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (tan.f64 (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify125.0ms (0.9%)

Algorithm
egg-herbie
Rules
550×cancel-sign-sub-inv_binary64
319×associate-*l/_binary64
305×distribute-rgt-in_binary64
296×fma-neg_binary64
271×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02343022
17752914
232762738
Stop Event
node limit
Counts
179 → 114
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
1
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
Outputs
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (/.f64 (*.f64 1/2 x) y))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x y) (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 1/240 (pow.f64 x 5)) (pow.f64 y 5))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (/.f64 17/40320 (/.f64 (pow.f64 y 7) (pow.f64 x 7))))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 1/2 x) y)) (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
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(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) (*.f64 x (pow.f64 y 4))) (*.f64 (/.f64 -2 x) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) -1/24) (/.f64 (-.f64 (fma.f64 (pow.f64 x 7) 1/645120 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) 1/8))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 1/384 (*.f64 (pow.f64 x 3) (*.f64 -1/24 (pow.f64 x 4)))))) (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 6)) (+.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) x) (*.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (*.f64 1/24 (*.f64 x x)))) (*.f64 (pow.f64 x 4) -1/1920))) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 -1/24 (*.f64 (+.f64 1 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (*.f64 y y))) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) 1/1920))))))))

localize92.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
7.9b
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
26.4b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
26.6b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 89 to 65 computations (27% saved)

series25.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
4.0ms
y
@0
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
3.0ms
x
@-inf
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
3.0ms
y
@0
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms
x
@0
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))

rewrite84.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
778×log-prod_binary64
277×pow1/3_binary64
276×expm1-udef_binary64
276×log1p-udef_binary64
251×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01745
135740
2461440
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/6) (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 1/3))))))
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simplify66.0ms (0.5%)

Algorithm
egg-herbie
Rules
920×associate-/r*_binary64
917×associate-/l*_binary64
395×cancel-sign-sub-inv_binary64
274×distribute-rgt-in_binary64
250×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01931838
16201782
225261689
Stop Event
node limit
Counts
151 → 121
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
1
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
Outputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 (*.f64 1/3840 (pow.f64 x 5)) (pow.f64 y 5))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 (*.f64 1/3840 (pow.f64 x 5)) (pow.f64 y 5))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7)))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 (*.f64 1/3840 (pow.f64 x 5)) (pow.f64 y 5))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7)))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24)))
(+.f64 1 (fma.f64 2 (/.f64 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) 1/24) (*.f64 y y))))
(+.f64 1 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 x 3) x) 1/24) (*.f64 (*.f64 x x) 1/24)) (*.f64 y y)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (*.f64 2 (+.f64 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/24)) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4))) (/.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x (*.f64 y y)))))) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 x 3) 1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y))))))
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(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (*.f64 x (pow.f64 y 4))) (*.f64 -2 (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6))))))) (fma.f64 -1/24 (/.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) x)) (fma.f64 -1/24 (*.f64 (*.f64 x x) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x)))) (*.f64 (pow.f64 x 4) 1/1920))) (/.f64 (pow.f64 y 6) (*.f64 x x))) (fma.f64 1/1920 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (fma.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y)))))))))
(-.f64 (+.f64 1 (*.f64 -2 (+.f64 (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (/.f64 -1/24 y)) x) (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/24))) (*.f64 x (pow.f64 y 4)))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/24))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (pow.f64 x 4) (*.f64 1/384 (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6)))))) (fma.f64 -1/24 (*.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/24))) x)) (fma.f64 (pow.f64 x 4) 1/1920 (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24))))) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 4)) (*.f64 x x)))))))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))) (*.f64 x (pow.f64 y 4))) (*.f64 (/.f64 -2 x) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (/.f64 -1/24 y)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 (pow.f64 x 3) 1/24) -1/384))))) (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 -2 x) (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24))))) (fma.f64 (pow.f64 x 4) 1/1920 (*.f64 (*.f64 (*.f64 x x) -1/24) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24))))) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24))) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1/24 (/.f64 -1/24 (/.f64 (*.f64 y y) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24))))))))))))

eval355.0ms (2.6%)

Compiler

Compiled 15184 to 11416 computations (24.8% saved)

prune226.0ms (1.7%)

Pruning

78 alts after pruning (76 fresh and 2 done)

PrunedKeptTotal
New54559604
Fresh211738
Picked101
Done224
Total56978647
Error
23.1b
Counts
647 → 78
Alt Table
Click to see full alt table
StatusErrorProgram
60.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
27.2b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
60.3b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.9b
1
29.0b
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
28.3b
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
34.1b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
34.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
60.3b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
28.1b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))))
51.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3)))
60.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
55.7b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
31.0b
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
26.4b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
51.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
44.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))
62.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))) 3)))
26.7b
(log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))))
26.4b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
52.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
34.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
26.7b
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
29.1b
(log1p.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)))
58.4b
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
34.7b
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y)))
26.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))))
61.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1))))
52.0b
(/.f64 (sqrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
27.3b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
48.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
27.4b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
27.5b
(log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
26.4b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
59.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
59.3b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
26.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
59.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
59.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
59.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
28.3b
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
59.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) 3)))
26.6b
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
34.5b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
28.1b
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
26.4b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
51.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3)))
26.5b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
29.7b
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
44.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))))
58.5b
(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
36.8b
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))))
34.1b
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
33.6b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
26.7b
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
27.9b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
36.8b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
48.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 3)))
40.6b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
52.0b
(/.f64 (sqrt.f64 (pow.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 y -2)))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
27.0b
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
26.7b
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
51.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
26.4b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
28.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
48.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)) 3)))
44.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
34.9b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
26.4b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
60.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
26.4b
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3))
43.1b
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.4b
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))
Compiler

Compiled 2781 to 2231 computations (19.8% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))))
0.8b
(expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))))
14.4b
(cbrt.f64 (*.f64 x (/.f64 1/2 y)))
26.1b
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
Compiler

Compiled 74 to 57 computations (23% saved)

series28.0ms (0.2%)

Counts
4 → 27
Calls

24 calls:

TimeVariablePointExpression
6.0ms
x
@0
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
4.0ms
y
@-inf
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
3.0ms
x
@-inf
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
1.0ms
x
@inf
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
1.0ms
x
@-inf
(expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))))

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
885×prod-diff_binary64
518×log-prod_binary64
296×pow-prod-down_binary64
289×pow2_binary64
204×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01444
127844
2292344
Stop Event
node limit
Counts
4 → 125
Calls
Call 1
Inputs
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
(cbrt.f64 (*.f64 x (/.f64 1/2 y)))
(expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2) (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) 1) (+.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2) (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2) (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1))))))

simplify57.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
e-exp-1_binary64
expm1-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0463
11045
21245
Stop Event
saturated
Counts
152 → 128
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
1
1
1
1
1
1
1
1
1

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
0.5b
(/.f64 1/2 (/.f64 y x))
26.2b
(cos.f64 (/.f64 1/2 (/.f64 y x)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite168.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
941×pow1_binary64
872×add-log-exp_binary64
872×log1p-expm1-u_binary64
872×expm1-log1p-u_binary64
854×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
119228
2240828
Stop Event
node limit
Counts
3 → 67
Calls
Call 1
Inputs
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(/.f64 1/2 (/.f64 y x))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))))

simplify144.0ms (1.1%)

Algorithm
egg-herbie
Rules
797×fma-neg_binary64
488×associate-*l/_binary64
478×unswap-sqr_binary64
333×associate-*r/_binary64
301×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063995
1165966
2487932
32123918
45947870
Stop Event
node limit
Counts
139 → 87
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
Outputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1)
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)))) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) (fma.f64 (pow.f64 (/.f64 x y) 4) -5/384 (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1)
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)))) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) (fma.f64 (pow.f64 (/.f64 x y) 4) -5/384 (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1)
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080 (*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y)))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (pow.f64 x 6) (/.f64 61/46080 (pow.f64 y 6))))))
(+.f64 1 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (*.f64 (pow.f64 (/.f64 x y) 6) 61/46080))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
0.1b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
0.3b
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
26.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 45 to 26 computations (42.2% saved)

series7.0ms (0.1%)

Counts
3 → 60
Calls

18 calls:

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

rewrite71.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
964×pow1_binary64
889×add-log-exp_binary64
889×log1p-expm1-u_binary64
889×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
120832
2243332
Stop Event
node limit
Counts
3 → 64
Calls
Call 1
Inputs
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (/.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (/.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2) (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)) -1) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2) (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (cos.f64 (/.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))))

simplify83.0ms (0.6%)

Algorithm
egg-herbie
Rules
751×fma-neg_binary64
533×associate-/l/_binary64
362×associate-/r/_binary64
335×unswap-sqr_binary64
315×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0911148
12441128
27651094
333311071
46466996
Stop Event
node limit
Counts
124 → 92
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(exp.f64 1)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))
(+.f64 (*.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (exp.f64 1)) (pow.f64 y 4))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)))
(+.f64 (*.f64 -31/46080 (/.f64 (*.f64 (pow.f64 x 6) (exp.f64 1)) (pow.f64 y 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (exp.f64 1)) (pow.f64 y 4))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))))
(exp.f64 1)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 -1/1536 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))))
(exp.f64 1)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 -1/1536 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))))
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1)))
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(fma.f64 1/96 (*.f64 (pow.f64 (/.f64 x y) 4) (E.f64)) (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 -1/1536 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))))
(fma.f64 -31/46080 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) (E.f64))) (fma.f64 1/96 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) (E.f64))) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64))))
(fma.f64 -31/46080 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (E.f64)) (fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64))))
(fma.f64 -31/46080 (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (pow.f64 x 6)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (E.f64))))
(+.f64 (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -31/46080) (*.f64 1/96 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 1/96 (pow.f64 (/.f64 x y) 4)) (*.f64 -31/46080 (pow.f64 (/.f64 x y) 6)))))
(exp.f64 1)
(E.f64)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))
(fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64))
(fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (E.f64))
(*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))
(fma.f64 1/96 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) (E.f64))) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64)))
(fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64)))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (E.f64)))
(fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)))
(fma.f64 1/96 (*.f64 (pow.f64 (/.f64 x y) 4) (E.f64)) (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 -1/1536 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))))
(fma.f64 -31/46080 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) (E.f64))) (fma.f64 1/96 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) (E.f64))) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64))))
(fma.f64 -31/46080 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (E.f64)) (fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64))))
(fma.f64 -31/46080 (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (pow.f64 x 6)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (E.f64))))
(+.f64 (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -31/46080) (*.f64 1/96 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 1/96 (pow.f64 (/.f64 x y) 4)) (*.f64 -31/46080 (pow.f64 (/.f64 x y) 6)))))

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
7.3b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
8.6b
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
26.4b
(sin.f64 (*.f64 (/.f64 1/2 y) x))
26.5b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 64 to 45 computations (29.7% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
1.0ms
y
@inf
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
1.0ms
y
@-inf
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
1.0ms
y
@inf
(sin.f64 (*.f64 (/.f64 1/2 y) x))
0.0ms
y
@-inf
(sin.f64 (*.f64 (/.f64 1/2 y) x))

rewrite89.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
562×prod-diff_binary64
546×log-prod_binary64
309×pow-prod-down_binary64
294×pow2_binary64
207×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01329
128229
2299521
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(sin.f64 (*.f64 (/.f64 1/2 y) x))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (tan.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) -2) (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))))))

simplify70.0ms (0.5%)

Algorithm
egg-herbie
Rules
922×associate-/r*_binary64
912×associate-/l*_binary64
395×cancel-sign-sub-inv_binary64
274×distribute-rgt-in_binary64
252×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01911706
16131650
225171557
Stop Event
node limit
Counts
110 → 93
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
1
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
Outputs
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7)))))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7)))))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (/.f64 1/2 (/.f64 y x)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (/.f64 5/384 (pow.f64 y 4)) (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) 1/8)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
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(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (*.f64 x (pow.f64 y 4))) (*.f64 -2 (+.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 x (*.f64 y y))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6))))))) (fma.f64 -1/24 (/.f64 (-.f64 (/.f64 (*.f64 -2 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) x) (fma.f64 -1/24 (*.f64 (*.f64 x x) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x)))) (*.f64 (pow.f64 x 4) 1/1920))) (/.f64 (pow.f64 y 6) (*.f64 x x))) (fma.f64 1/1920 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (fma.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y)))))))))
(+.f64 1 (-.f64 (*.f64 -2 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x 3) x) (/.f64 -1/24 (*.f64 y y))) (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (*.f64 x x) -1/8))) (*.f64 x (pow.f64 y 4)))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (*.f64 x x) -1/8))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (*.f64 x x) -1/8))) x)) (fma.f64 (pow.f64 x 4) 1/1920 (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24))))) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24)) (/.f64 (pow.f64 y 4) (*.f64 x x)))))))))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 x (*.f64 x -1/24))))) (*.f64 x (pow.f64 y 4))) (*.f64 (/.f64 -2 x) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (*.f64 y y) -1/24)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 x (*.f64 x -1/24))))))) (fma.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)) (*.f64 (pow.f64 x 7) 1/92160)))) (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (+.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 x (*.f64 x -1/24))))) x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24)) 1/24))) (*.f64 (pow.f64 x 4) -1/1920)) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24))) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1/24 (/.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24)) (/.f64 (*.f64 y y) -1/24))))))))))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
8.6b
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
8.6b
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
26.4b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
26.5b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 79 to 58 computations (26.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
850×pow1_binary64
787×add-log-exp_binary64
787×log1p-expm1-u_binary64
787×expm1-log1p-u_binary64
770×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
12109
221919
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))

simplify138.0ms (1%)

Algorithm
egg-herbie
Rules
2021×fma-def_binary64
1495×associate-/l/_binary64
433×times-frac_binary64
421×associate-/l*_binary64
404×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031426
184426
2229426
3771399
43703399
54040399
64489399
74771399
85095399
95376399
Stop Event
node limit
Counts
45 → 30
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
Outputs
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (pow.f64 (/.f64 x y) 3)))
(fma.f64 1/2 (/.f64 x y) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (pow.f64 x 7) (/.f64 -1/645120 (pow.f64 y 7))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (pow.f64 (/.f64 x y) 3)))
(fma.f64 1/2 (/.f64 x y) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (pow.f64 x 7) (/.f64 -1/645120 (pow.f64 y 7))))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (pow.f64 (/.f64 x y) 3)))
(fma.f64 1/2 (/.f64 x y) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (pow.f64 x 7) (/.f64 -1/645120 (pow.f64 y 7))))))

eval366.0ms (2.7%)

Compiler

Compiled 13660 to 10356 computations (24.2% saved)

prune222.0ms (1.6%)

Pruning

97 alts after pruning (91 fresh and 6 done)

PrunedKeptTotal
New55251603
Fresh314071
Picked101
Done066
Total58497681
Error
22.8b
Counts
681 → 97
Alt Table
Click to see full alt table
StatusErrorProgram
60.3b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.9b
1
29.0b
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
40.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) 2) 3)))))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3))))
34.1b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.3b
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)
28.1b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))))
26.4b
(/.f64 1 (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))))
51.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3)))
60.3b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
34.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
40.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2/3) 3)))))
43.3b
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))
26.6b
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
26.4b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) 3/2) 3)))))
26.5b
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)))
44.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))
26.7b
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
26.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)))))
62.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))) 3)))
26.4b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
26.4b
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3)
52.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
27.3b
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)))
31.0b
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
26.4b
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
28.2b
(/.f64 1 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2) (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))
28.1b
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))
58.4b
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
34.7b
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y)))
26.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))))
61.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1))))
52.0b
(/.f64 (sqrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.6b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
26.8b
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))
26.8b
(log1p.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))
28.8b
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))))
48.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
27.4b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
27.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6) 3)))))
60.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)))
52.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 1/2 (/.f64 y x))))
26.9b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 3))
26.6b
(/.f64 1 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1)))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))
59.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
28.3b
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
59.3b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
26.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
40.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3) 3)))))
59.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
26.5b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))
59.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) 3)))
26.6b
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
26.4b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
51.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3)))
40.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)) 1/3)) 3)))))
26.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3)))))
26.5b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
28.1b
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
34.5b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
29.7b
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
44.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))))
58.5b
(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
34.1b
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
28.3b
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
33.6b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
36.8b
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))))
27.6b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))
61.3b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))) 2)))
27.8b
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))
60.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (-.f64 (+.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1))
40.6b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
36.8b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
28.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))) 3)))))
26.6b
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))
55.7b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
52.0b
(/.f64 (sqrt.f64 (pow.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 y -2)))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3))
51.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
40.6b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
26.4b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
28.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))))
48.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)) 3)))
60.0b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 2)))
44.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
26.2b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))
28.2b
(/.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 3)))
26.7b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) 3)))))
27.3b
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
60.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
43.1b
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
Compiler

Compiled 3458 to 2822 computations (18.4% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (/.f64 1/2 y))
0.6b
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
14.4b
(cbrt.f64 (*.f64 x (/.f64 1/2 y)))
26.1b
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
Compiler

Compiled 49 to 36 computations (26.5% saved)

series7.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
1.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
1.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)

rewrite54.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
790×pow1_binary64
744×add-log-exp_binary64
743×log1p-expm1-u_binary64
743×expm1-log1p-u_binary64
728×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
11977
220787
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 y)) (*.f64 (sqrt.f64 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) 3) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1/2 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) 1) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6)) (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
47 → 47
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
0.3b
(*.f64 (/.f64 x y) (/.f64 x y))
Compiler

Compiled 26 to 9 computations (65.4% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite57.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
794×pow1_binary64
740×add-log-exp_binary64
739×log1p-expm1-u_binary64
739×expm1-log1p-u_binary64
723×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116418
2204918
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (/.f64 x y))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 x y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 3) 1) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) (*.f64 (pow.f64 (/.f64 x y) 2) 1/8)) (-.f64 1 (*.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) (*.f64 (pow.f64 (/.f64 x y) 2) 1/8)) 1) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))))

simplify139.0ms (1%)

Algorithm
egg-herbie
Rules
713×*-commutative_binary64
639×associate-/l*_binary64
574×sqr-pow_binary64
395×associate-/r*_binary64
330×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011570
124534
249534
3137534
4673534
54252534
64931534
75144534
85349534
95585534
105905534
116733534
127285534
137936534
Stop Event
node limit
Counts
102 → 61
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
Outputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 x (*.f64 y y)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)
(*.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)))
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)
(*.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)))
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)
(*.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)))
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1)
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1)
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1)
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
0.6b
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
14.4b
(cbrt.f64 (*.f64 1/2 (/.f64 x y)))
26.0b
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))
Compiler

Compiled 49 to 30 computations (38.8% saved)

series9.0ms (0.1%)

Counts
4 → 18
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
0.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
0.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
0.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
0.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)

rewrite73.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
643×prod-diff_binary64
501×log-prod_binary64
272×pow2_binary64
267×pow-prod-down_binary64
190×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
125537
2277137
Stop Event
node limit
Counts
4 → 147
Calls
Call 1
Inputs
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))
(cbrt.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2) (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -2) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2))))))

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118
1418
Stop Event
saturated
Counts
165 → 148
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))))
1.1b
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))
3.4b
(log1p.f64 (*.f64 x (/.f64 1/2 y)))
13.8b
(cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))
Compiler

Compiled 68 to 51 computations (25% saved)

series9.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f64 (*.f64 x (/.f64 1/2 y)))
1.0ms
x
@-inf
(log1p.f64 (*.f64 x (/.f64 1/2 y)))
1.0ms
x
@inf
(log1p.f64 (*.f64 x (/.f64 1/2 y)))
1.0ms
y
@0
(log1p.f64 (*.f64 x (/.f64 1/2 y)))
1.0ms
y
@inf
(log1p.f64 (*.f64 x (/.f64 1/2 y)))

rewrite82.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
669×prod-diff_binary64
479×log-prod_binary64
379×exp-prod_binary64
267×pow2_binary64
255×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
122539
2259739
Stop Event
node limit
Counts
4 → 163
Calls
Call 1
Inputs
(cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))
(log1p.f64 (*.f64 x (/.f64 1/2 y)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))))
Outputs
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#<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2)) (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) 1) (+.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (sqrt.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) -1)))))

simplify88.0ms (0.6%)

Algorithm
egg-herbie
Rules
669×fma-neg_binary64
632×fma-def_binary64
572×times-frac_binary64
390×associate-+l+_binary64
389×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01401864
14221768
214181687
373581687
Stop Event
node limit
Counts
259 → 213
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/2 (/.f64 x y)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1/2 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (/.f64 1/2 y))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (/.f64 1/2 y)))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (/.f64 1/2 y))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 y)))))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 y))))))))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -1 (log.f64 y)))
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -1 (log.f64 y))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -1 (log.f64 y)))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -1 (log.f64 y))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/2 (/.f64 x y)))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/2 (/.f64 x y)))))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4))))) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1)
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
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(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/2 (/.f64 x y) (fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -1/64)))))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (expm1.f64 1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4))))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (*.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)) -1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 4)) (*.f64 (pow.f64 x 4) 1/48) (expm1.f64 1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4)))))) 1)
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 151/46080 (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (fma.f64 151/46080 (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (pow.f64 x 6)) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 151/46080 (*.f64 (pow.f64 x 6) (/.f64 (E.f64) (pow.f64 y 6))) (fma.f64 (/.f64 (E.f64) (pow.f64 y 4)) (*.f64 (pow.f64 x 4) 1/48) (expm1.f64 1))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (expm1.f64 1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (*.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)) -1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 4)) (*.f64 (pow.f64 x 4) 1/48) (expm1.f64 1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (+.f64 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))))) (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 4) -5/384)) (*.f64 x x)))))))) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (-.f64 (fma.f64 -1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 1/3072)) (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384)))))) (expm1.f64 1)))
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (*.f64 (pow.f64 x 6) 1/46080))) (*.f64 (/.f64 1/48 (pow.f64 y 4)) (*.f64 (pow.f64 x 4) (E.f64))))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1)
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (expm1.f64 1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (*.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)) -1))
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 4)) (*.f64 (pow.f64 x 4) 1/48) (expm1.f64 1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1)
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (+.f64 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))))) (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 4) -5/384)) (*.f64 x x)))))))) -1)
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (-.f64 (fma.f64 -1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 1/3072)) (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384)))))) (expm1.f64 1)))
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (*.f64 (pow.f64 x 6) 1/46080))) (*.f64 (/.f64 1/48 (pow.f64 y 4)) (*.f64 (pow.f64 x 4) (E.f64))))))

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3)
0.8b
(expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))))
14.4b
(cbrt.f64 (/.f64 (*.f64 x 1/2) y))
26.7b
(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))
Compiler

Compiled 105 to 84 computations (20% saved)

series111.0ms (0.8%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
44.0ms
x
@0
(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))
20.0ms
y
@0
(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))
12.0ms
y
@-inf
(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))
10.0ms
x
@inf
(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))
9.0ms
y
@inf
(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))

rewrite82.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
594×log-prod_binary64
363×pow-prod-down_binary64
312×pow2_binary64
229×pow-to-exp_binary64
217×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
131841
2327841
Stop Event
node limit
Counts
4 → 144
Calls
Call 1
Inputs
(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))
(cbrt.f64 (/.f64 (*.f64 x 1/2) y))
(expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3)
Outputs
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simplify108.0ms (0.8%)

Algorithm
egg-herbie
Rules
342×fma-neg_binary64
319×*-commutative_binary64
294×distribute-lft-out_binary64
285×unswap-sqr_binary64
261×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01071896
13051752
26801704
318141632
445321552
Stop Event
node limit
Counts
216 → 133
Calls
Call 1
Inputs
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(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9))))
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(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 5) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 4))))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 5) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 4))))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 5) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 4))))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))) 1)
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))) 1)
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 3) (cbrt.f64 1/2)))
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 3)) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 2) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 2) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 2) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 2) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3)))
Outputs
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9)))
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9)))
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9)))
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9))))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) 9)))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5)))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5)))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5)))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5)))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9)))
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9))))
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9)))
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(*.f64 1 (*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 3))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 3))
(*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) 1/18) 6))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3)))
(*.f64 1 (*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 3))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 3))
(*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) 1/18) 6))

eval365.0ms (2.7%)

Compiler

Compiled 11123 to 8727 computations (21.5% saved)

prune515.0ms (3.8%)

Pruning

142 alts after pruning (133 fresh and 9 done)

PrunedKeptTotal
New61177688
Fresh305686
Picked011
Done2810
Total643142785
Error
22.3b
Counts
785 → 142
Alt Table
Click to see full alt table
StatusErrorProgram
29.0b
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
26.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
26.4b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3))))
60.3b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
40.5b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2/3) 3)))
28.1b
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
43.3b
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))
34.1b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
62.7b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))))))))
60.3b
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(/.f64 1 (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))))
51.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3)))
26.7b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))
26.7b
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
34.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
28.3b
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)
26.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 y 2)))) 3) 3)))))
40.5b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) 2) 3)))
26.4b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)
26.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))) 3) 3)))))
26.9b
1
26.6b
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
26.4b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.7b
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) 3)))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) 3/2) 3)))))
26.5b
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)))
44.7b
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (/.f64 1/2 y)))))
40.0b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 y x)) -1/3)) 3) 3)))))
26.4b
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3)
26.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)))))
62.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))) 3)))
52.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
27.3b
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)))
30.3b
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 1/2 y)))))
54.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))))
28.2b
(/.f64 1 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2) (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))
28.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))) 3))))))
31.0b
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
26.4b
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
26.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))) 3) 3)))))
27.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1/2 (/.f64 x y))))))))
26.4b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
58.4b
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
61.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1))))
52.0b
(/.f64 (sqrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
34.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 x (*.f64 y 2))) 3) 1/3))))))
34.7b
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y)))
26.8b
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))
26.8b
(log1p.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))
28.3b
(/.f64 1 (cos.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))) 3)))
40.4b
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 3/2))))
44.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))
30.2b
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1/2 (cbrt.f64 y)))))
48.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
27.4b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
54.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) 3)))))
27.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6) 3)))))
26.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 9)) 3) 3)))))
28.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (/.f64 1/2 (/.f64 y x)))))))
40.7b
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 1/3))))
40.3b
(/.f64 1 (cos.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) 3)) 3)))
26.6b
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 (fma.f64 x (/.f64 1/2 y) 1)) (cos.f64 -1)) (*.f64 (sin.f64 (fma.f64 x (/.f64 1/2 y) 1)) (sin.f64 -1))))))
55.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))))))
40.8b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) 3))))
43.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))))
40.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 5/6))) 3) 3)))))
26.4b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3)))
60.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)))
52.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 1/2 (/.f64 y x))))
26.9b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 3))
42.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) 1/18) 6)) 3)))))
40.4b
(/.f64 1 (cos.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)) 1/3)) 3)))
26.5b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) 1/2))))
26.6b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) 3) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))
26.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
26.7b
(/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3)))
26.6b
(/.f64 1 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1)))
59.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
59.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
59.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) 3)))
26.6b
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
26.4b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
40.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 3) 3)))))
26.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 1 (cbrt.f64 y)))) 3) 3)))))
40.6b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3) 3)))
26.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3)))))
53.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))))))
26.6b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))))
26.5b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
26.9b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/2 y)))))))
27.7b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2) 1/6)) 3) 3)))))
44.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))))
28.1b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 x (*.f64 y 2))))))))))
40.5b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)))) 3) 3)))))
26.6b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))
26.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))))
26.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 y)) x))))))
28.3b
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
33.6b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
40.7b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 3) 3)))))
27.6b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))
26.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 2))) 2) (cbrt.f64 (/.f64 x (*.f64 y 2))))))))
27.8b
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))
34.1b
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
29.7b
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1)
36.8b
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2))))
61.3b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))) 2)))
27.5b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6) 3)))
40.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 x y) 1/18) 6)) 3)))))
62.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (*.f64 y 2))))) (sqrt.f64 (log.f64 (/.f64 x (*.f64 y 2)))))))))
53.4b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) 3)))))
28.8b
(/.f64 1 (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))
40.9b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 y 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (*.f64 y 2)))))))))
40.6b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
36.8b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.6b
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))
28.3b
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))))
52.0b
(/.f64 (sqrt.f64 (pow.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 y -2)))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3))
28.0b
(/.f64 1 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))
51.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
26.5b
(/.f64 1 (cos.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))))
26.2b
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3)))
40.6b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
26.4b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
60.0b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 2)))
26.5b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)))
44.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
26.7b
(/.f64 1 (cos.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 1/2 y)))))
28.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))))
62.5b
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
48.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)) 3)))
61.3b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 1/2 y))))))))
26.2b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))
40.8b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 5/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6))))
60.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
28.6b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 x (*.f64 y 2))))) 1))))))
26.3b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) 3/2) 3)))
54.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9))))))
27.3b
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
26.9b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/2 y)))))
Compiler

Compiled 2704 to 2240 computations (17.2% saved)

regimes2.6s (19.4%)

Counts
231 → 2
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1)
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3)
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)))
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)))
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3) 3)))
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3)))
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 3/2))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1/2 (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 1/3))))
(/.f64 1 (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))))
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 5/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (/.f64 1/2 (/.f64 y x)))))))
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) 3)))
(/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3)))
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2/3) 3)))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) 2) 3)))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)) 1/3)) 3)))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6) 3)))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
(log1p.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)))
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (expm1.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) 1/2))))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
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(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))))))))
(log1p.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))) 3)))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))) 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)))) 3) 3)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))) 3) 3)))))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) 3)))
Outputs
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3)))
1
Calls

8 calls:

589.0ms
(*.f64 y 2)
374.0ms
(/.f64 x (*.f64 y 2))
288.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
274.0ms
(*.f64 y 2)
261.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
26.2b1x
26.2b1y
25.1b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.1b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.2b1(/.f64 x (*.f64 y 2))
26.2b1(/.f64 x (*.f64 y 2))
26.2b1(*.f64 y 2)
26.2b1(*.f64 y 2)
Compiler

Compiled 3858 to 2991 computations (22.5% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
21.09483771857513
26.456706270411004
Compiler

Compiled 20 to 15 computations (25% saved)

regimes773.0ms (5.7%)

Counts
83 → 2
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1)
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3)
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)))
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)))
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3) 3)))
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3)))
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 3/2))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1/2 (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 1/3))))
(/.f64 1 (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))))
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 5/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (/.f64 1/2 (/.f64 y x)))))))
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) 3)))
(/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3)))
Outputs
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))
1
Calls

8 calls:

140.0ms
(*.f64 y 2)
137.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
126.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
99.0ms
(/.f64 x (*.f64 y 2))
90.0ms
x
Results
ErrorSegmentsBranch
26.2b1x
26.2b1y
25.1b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.1b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.2b1(/.f64 x (*.f64 y 2))
26.2b1(/.f64 x (*.f64 y 2))
26.2b1(*.f64 y 2)
26.2b1(*.f64 y 2)
Compiler

Compiled 977 to 710 computations (27.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
21.09483771857513
26.456706270411004
Compiler

Compiled 20 to 15 computations (25% saved)

regimes293.0ms (2.2%)

Counts
55 → 2
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1)
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3)
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)))
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)))
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
Outputs
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
1
Calls

8 calls:

56.0ms
y
51.0ms
(/.f64 x (*.f64 y 2))
29.0ms
(*.f64 y 2)
29.0ms
(*.f64 y 2)
28.0ms
x
Results
ErrorSegmentsBranch
26.4b1x
26.4b1y
25.3b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.3b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b1(/.f64 x (*.f64 y 2))
26.4b1(/.f64 x (*.f64 y 2))
26.4b1(*.f64 y 2)
26.4b1(*.f64 y 2)
Compiler

Compiled 623 to 446 computations (28.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
21.09483771857513
26.456706270411004
Compiler

Compiled 20 to 15 computations (25% saved)

regimes245.0ms (1.8%)

Counts
41 → 2
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1)
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1))
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1))
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3)
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
Outputs
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
Calls

8 calls:

59.0ms
(/.f64 x (*.f64 y 2))
24.0ms
y
23.0ms
(*.f64 y 2)
22.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
20.0ms
x
Results
ErrorSegmentsBranch
26.4b1x
26.4b1y
25.3b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.3b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.4b1(/.f64 x (*.f64 y 2))
26.4b1(/.f64 x (*.f64 y 2))
26.4b1(*.f64 y 2)
26.4b1(*.f64 y 2)
Compiler

Compiled 471 to 328 computations (30.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
21.09483771857513
26.456706270411004
Compiler

Compiled 20 to 15 computations (25% saved)

regimes10.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
Outputs
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
26.5b1x
26.5b1y
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total -35.6b remaining (-132%)

Threshold costs -35.6b (-132%)

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

2 calls:

4.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
26.9b1x
26.9b1y
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042181
148181
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3))) 1)
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) 1)
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
1
Outputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3))) 1)
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) 1)
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 (/.f64 x y) 1/2))))) 1)
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (*.f64 (/.f64 x y) 1/2))) 1)
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
1
Compiler

Compiled 130 to 104 computations (20% saved)

soundness85.0ms (0.6%)

Algorithm
egg-herbie
Rules
797×fma-neg_binary64
472×unswap-sqr_binary64
470×associate-*l/_binary64
318×associate-*r/_binary64
296×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058566
1157546
2477512
32095498
45848450
Stop Event
node limit
Compiler

Compiled 87 to 67 computations (23% saved)

end85.0ms (0.6%)

Compiler

Compiled 120 to 92 computations (23.3% saved)

Profiling

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