Details

Time bar (total: 5.9s)

analyze463.0ms (7.8%)

Algorithm
1×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
25%74.9%0.1%5
25%68.7%6.3%6
43.7%46.8%9.5%7
43.7%42.1%14.1%8
46.8%36.7%16.5%9
46.8%34%19.2%10
48.4%31%20.6%11
48.4%29.6%22%12
49.2%28%22.8%13
49.2%27.3%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.0s (66.9%)

Results
1.2s2158×body1024invalid
1.1s2089×body1024valid
618.0ms4605×body128valid
334.0ms1025×body512valid
322.0ms1034×body512invalid
149.0ms532×body256valid
125.0ms504×body256invalid
93.0ms682×body128invalid
7.0ms5×body2048valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess37.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
824×fma-def_binary64
408×associate-/r/_binary64
389×associate-*l/_binary64
350×associate-/l/_binary64
237×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12822
25922
312122
422622
537522
674522
7224222
8462422
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 y) (/.f64 (sin.f64 x) x))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (cosh.f64 y) (/.f64 (sin.f64 x) x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify36.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
772×unswap-sqr_binary64
510×fma-def_binary64
444×associate-/l*_binary64
363×times-frac_binary64
277×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23311
36511
412011
519611
638511
7110811
8318911
9354211
10406611
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.4b
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
▶0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 52 to 32 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(cosh.f64 x)
✓0.0b
(sin.f64 y)
✓0.0b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓0.1b
(/.f64 (sin.f64 y) y)

series14.0ms (0.2%)

Counts
4 → 44
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
x
@inf
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
x
@0
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
x
@-inf
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
y
@-inf
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite51.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
839×pow1_binary64
776×log1p-expm1-u_binary64
776×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
78×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
114923
2203323
Stop Event
1×node limit
Counts
4 → 105
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(sin.f64 y)
(cosh.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 2 (cosh.f64 x))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 2 (cosh.f64 x))) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (sin.f64 y)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1) (*.f64 2 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cosh.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (cosh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cosh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cosh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cosh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cosh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cosh.f64 x)))))))

simplify45.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
579×fma-neg_binary64
549×times-frac_binary64
387×fma-def_binary64
211×cancel-sign-sub-inv_binary64
210×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0106923
1314876
2945852
33752851
Stop Event
1×node limit
Counts
149 → 144
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
y
(-.f64 y (*.f64 1/6 (pow.f64 y 3)))
(-.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (*.f64 1/6 (pow.f64 y 3)))
(-.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
Outputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(+.f64 1 (*.f64 (*.f64 -1/6 y) y))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (-.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 (*.f64 -1/6 y) y)))
(fma.f64 (*.f64 y y) -1/6 (fma.f64 1/120 (pow.f64 y 4) 1))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(+.f64 1 (-.f64 (*.f64 1/120 (pow.f64 y 4)) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6)))))
(-.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/720 (pow.f64 x 6)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x)))) (*.f64 (pow.f64 y 6) (*.f64 (exp.f64 x) 1/10080)))))
(+.f64 (*.f64 -1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x)))) (fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x))))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (fma.f64 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) -1/12 (*.f64 -1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
y
(-.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 y (*.f64 (pow.f64 y 3) -1/6))
(fma.f64 (pow.f64 y 3) -1/6 y)
(-.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 y (-.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 (pow.f64 y 3) -1/6))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) -1/6 y))
(-.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 y (-.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/5040 (pow.f64 y 7)))))
(-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 (pow.f64 y 3) -1/6 (*.f64 (pow.f64 y 7) -1/5040)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/24 (pow.f64 x 4) (+.f64 1 (*.f64 1/2 (*.f64 x x))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) 1))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 1/24 (pow.f64 x 4) (+.f64 1 (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x)))))
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/24 (pow.f64 x 4) 1))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 6) 1)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))

prune130.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1359144
Fresh101
Picked101
Done000
Total1379146
Error
0.0b
Counts
146 → 9
Alt Table
StatusErrorProgram
41.8b
(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) y))
0.3b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
0.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
34.0b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
▶0.2b
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
0.2b
(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
0.9b
(*.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
26.4b
(*.f64 (cosh.f64 x) (/.f64 (log.f64 (exp.f64 (sin.f64 y))) y))
35.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))))
Compiler

Compiled 2196 to 1049 computations (52.2% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
0.0b
(sin.f64 y)
✓0.1b
(/.f64 y (sin.f64 y))
✓0.2b
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

series4.0ms (0.1%)

Counts
2 → 28
Calls

9 calls:

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

rewrite47.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
866×log1p-expm1-u_binary64
866×expm1-log1p-u_binary64
83×add-sqr-sqrt_binary64
82×*-un-lft-identity_binary64
82×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115517
2226717
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))))

simplify40.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
528×times-frac_binary64
336×fma-neg_binary64
321×fma-def_binary64
260×sub-neg_binary64
176×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084707
1237678
2710662
32856646
Stop Event
1×node limit
Counts
104 → 101
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (/.f64 x (/.f64 (/.f64 y (sin.f64 y)) x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 (*.f64 1/2 x) x))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (fma.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))) (/.f64 1/2 (/.f64 (/.f64 y (*.f64 x x)) (sin.f64 y))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 1/720 (pow.f64 x 6))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (exp.f64 x) (*.f64 y y)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(fma.f64 -1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (exp.f64 x) (pow.f64 y 4)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (exp.f64 x) (*.f64 y y))))))
(+.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (exp.f64 x) (pow.f64 y 4) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 -1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/240 (fma.f64 (exp.f64 x) (pow.f64 y 4) (/.f64 (pow.f64 y 4) (exp.f64 x))) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(fma.f64 -1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1/240 (exp.f64 x)) (*.f64 (exp.f64 x) 1/240)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (exp.f64 x) (pow.f64 y 4)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/10080 (*.f64 (exp.f64 x) (pow.f64 y 6)) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (exp.f64 x) (*.f64 y y))))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (exp.f64 x) (pow.f64 y 4) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 y (*.f64 y (exp.f64 x)))) (*.f64 (*.f64 1/10080 (exp.f64 x)) (pow.f64 y 6)))))
(+.f64 (*.f64 -1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (exp.f64 x) (pow.f64 y 6)))) (fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/240 (fma.f64 (exp.f64 x) (pow.f64 y 4) (/.f64 (pow.f64 y 4) (exp.f64 x))) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) (+.f64 (/.f64 1/240 (exp.f64 x)) (*.f64 (exp.f64 x) 1/240)))) (fma.f64 1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (*.f64 (pow.f64 y 6) (+.f64 (/.f64 1/10080 (exp.f64 x)) (*.f64 (exp.f64 x) 1/10080)))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (fma.f64 (*.f64 y y) 1/6 (*.f64 (pow.f64 y 4) 7/360)))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(fma.f64 (pow.f64 y 4) 7/360 (fma.f64 y (*.f64 y 1/6) 1))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) (*.f64 (pow.f64 y 6) 31/15120))))
(+.f64 1 (fma.f64 (*.f64 y y) 1/6 (fma.f64 (pow.f64 y 4) 7/360 (*.f64 (pow.f64 y 6) 31/15120))))
(+.f64 1 (fma.f64 (pow.f64 y 4) 7/360 (fma.f64 y (*.f64 y 1/6) (*.f64 (pow.f64 y 6) 31/15120))))
(+.f64 1 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 (*.f64 (pow.f64 y 6) 31/15120))))

prune130.0ms (2.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1523155
Fresh268
Picked011
Done000
Total15410164
Error
0.0b
Counts
164 → 10
Alt Table
StatusErrorProgram
17.8b
(/.f64 (cosh.f64 x) (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
26.4b
(*.f64 (cosh.f64 x) (/.f64 (log.f64 (exp.f64 (sin.f64 y))) y))
41.8b
(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) y))
0.3b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
✓0.2b
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶0.2b
(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
0.9b
(*.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
23.8b
(/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)))
0.3b
(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
35.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))))
Compiler

Compiled 2357 to 1079 computations (54.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
✓0.1b
(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)
✓0.2b
(expm1.f64 (log1p.f64 (sin.f64 y)))
✓0.3b
(log1p.f64 (sin.f64 y))

series61.0ms (1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
31.0ms
y
@inf
(log1p.f64 (sin.f64 y))
25.0ms
y
@-inf
(log1p.f64 (sin.f64 y))
1.0ms
y
@0
(log1p.f64 (sin.f64 y))
0.0ms
y
@0
(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
0.0ms
y
@0
(expm1.f64 (log1p.f64 (sin.f64 y)))

rewrite68.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
852×expm1-log1p-u_binary64
851×log1p-expm1-u_binary64
87×add-sqr-sqrt_binary64
87×pow1_binary64
86×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
117025
2224225
Stop Event
1×node limit
Counts
4 → 103
Calls
Call 1
Inputs
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)
(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (+.f64 (sin.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (sin.f64 y) 1) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 2 (cosh.f64 x))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 2 (cosh.f64 x))) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (sin.f64 y)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1) (*.f64 2 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))))

simplify49.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
705×fma-neg_binary64
528×times-frac_binary64
390×fma-def_binary64
247×cancel-sign-sub-inv_binary64
216×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0108931
1320896
2964870
33922865
Stop Event
1×node limit
Counts
163 → 143
Calls
Call 1
Inputs
y
(-.f64 y (*.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 3)) y) (*.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 3)) y) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 1/12 (pow.f64 y 4))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 (sin.f64 y) 1))
(log.f64 (+.f64 (sin.f64 y) 1))
(log.f64 (+.f64 (sin.f64 y) 1))
(log.f64 (+.f64 (sin.f64 y) 1))
y
(-.f64 y (*.f64 1/6 (pow.f64 y 3)))
(-.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (*.f64 1/6 (pow.f64 y 3)))
(-.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
Outputs
y
(-.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 -1/2 (*.f64 y y)))
(+.f64 y (*.f64 (*.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 y)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 3)) y) (*.f64 1/2 (pow.f64 y 2)))
(+.f64 (fma.f64 1/6 (pow.f64 y 3) y) (*.f64 -1/2 (*.f64 y y)))
(+.f64 (fma.f64 1/6 (pow.f64 y 3) y) (*.f64 (*.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 y (*.f64 (*.f64 y y) (fma.f64 y 1/6 -1/2)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 3)) y) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 1/12 (pow.f64 y 4))))
(-.f64 (fma.f64 1/6 (pow.f64 y 3) y) (fma.f64 1/2 (*.f64 y y) (*.f64 1/12 (pow.f64 y 4))))
(-.f64 (fma.f64 1/6 (pow.f64 y 3) y) (fma.f64 y (*.f64 y 1/2) (*.f64 1/12 (pow.f64 y 4))))
(+.f64 y (fma.f64 (*.f64 y y) (fma.f64 y 1/6 -1/2) (*.f64 (pow.f64 y 4) -1/12)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
y
(-.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 y (*.f64 (pow.f64 y 3) -1/6))
(fma.f64 (pow.f64 y 3) -1/6 y)
(-.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 y (-.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))
(+.f64 y (fma.f64 1/120 (pow.f64 y 5) (*.f64 (pow.f64 y 3) -1/6)))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))
(-.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 y (-.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/5040 (pow.f64 y 7)))))
(-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) -1/6 (*.f64 (pow.f64 y 7) -1/5040))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(-.f64 1 (*.f64 y (*.f64 y 1/6)))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (-.f64 (*.f64 (pow.f64 y 4) 1/120) (*.f64 (*.f64 y y) 1/6)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/120 1) (*.f64 y (*.f64 y 1/6)))
(fma.f64 (*.f64 y y) -1/6 (fma.f64 (pow.f64 y 4) 1/120 1))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 y 4) 1/120)) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (fma.f64 (pow.f64 y 4) 1/120 1) (fma.f64 (*.f64 y y) 1/6 (*.f64 1/5040 (pow.f64 y 6))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/120 1) (fma.f64 (*.f64 y y) -1/6 (*.f64 (pow.f64 y 6) -1/5040)))
(+.f64 1 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) (*.f64 (pow.f64 y 6) -1/5040)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (*.f64 (*.f64 1/24 (pow.f64 x 4)) (sin.f64 y)) y)))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/720 (pow.f64 x 6))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))
(+.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(-.f64 (+.f64 (/.f64 1/2 (exp.f64 x)) (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x)))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x)))) (*.f64 (pow.f64 y 6) (*.f64 (exp.f64 x) 1/10080)))))
(+.f64 (*.f64 -1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x)))) (fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x))))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (fma.f64 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) -1/12 (*.f64 -1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))

prune102.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh088
Picked011
Done011
Total14310153
Error
0.0b
Counts
153 → 10
Alt Table
StatusErrorProgram
17.8b
(/.f64 (cosh.f64 x) (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
26.4b
(*.f64 (cosh.f64 x) (/.f64 (log.f64 (exp.f64 (sin.f64 y))) y))
41.8b
(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) y))
▶0.3b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
✓0.2b
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓0.2b
(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
0.9b
(*.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
23.8b
(/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)))
0.3b
(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
35.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))))
Compiler

Compiled 2231 to 1095 computations (50.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
0.0b
(sin.f64 y)
✓0.0b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
✓0.3b
(*.f64 (sin.f64 y) (/.f64 1 y))

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite47.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
830×log1p-expm1-u_binary64
830×expm1-log1p-u_binary64
93×add-sqr-sqrt_binary64
90×*-un-lft-identity_binary64
90×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118517
2231417
Stop Event
1×node limit
Counts
2 → 48
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 2 (cosh.f64 x))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (sin.f64 y)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))))

simplify36.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
528×times-frac_binary64
447×fma-neg_binary64
298×sub-neg_binary64
287×fma-def_binary64
161×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083759
1242728
2737710
32959694
Stop Event
1×node limit
Counts
84 → 72
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
Outputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(+.f64 1 (*.f64 (*.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (-.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (*.f64 y y))))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (*.f64 (*.f64 y y) -1/6))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1))
(fma.f64 (*.f64 y y) -1/6 (fma.f64 1/120 (pow.f64 y 4) 1))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (fma.f64 1/120 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1)) (*.f64 1/5040 (pow.f64 y 6)))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 y (*.f64 y -1/6) (*.f64 (pow.f64 y 6) -1/5040)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 x 6) y) (sin.f64 y)) (*.f64 (/.f64 1/24 y) (*.f64 (sin.f64 y) (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 (*.f64 y y) (exp.f64 x) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(fma.f64 -1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))
(+.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 (*.f64 y y) (exp.f64 x) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))
(fma.f64 -1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x)))) (*.f64 (pow.f64 y 6) (*.f64 (exp.f64 x) 1/10080)))))
(-.f64 (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/12 (fma.f64 (*.f64 y y) (exp.f64 x) (*.f64 (/.f64 y (exp.f64 x)) y)) (*.f64 1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x))))))
(-.f64 (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (*.f64 (pow.f64 y 6) (+.f64 (/.f64 1/10080 (exp.f64 x)) (*.f64 (exp.f64 x) 1/10080)))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))

prune100.0ms (1.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh077
Picked011
Done022
Total12610136
Error
0.0b
Counts
136 → 10
Alt Table
StatusErrorProgram
17.8b
(/.f64 (cosh.f64 x) (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
26.4b
(*.f64 (cosh.f64 x) (/.f64 (log.f64 (exp.f64 (sin.f64 y))) y))
41.8b
(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) y))
✓0.3b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
✓0.2b
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓0.2b
(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
0.9b
(*.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
23.8b
(/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)))
0.3b
(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
35.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))))
Compiler

Compiled 1928 to 1026 computations (46.8% saved)

regimes363.0ms (6.1%)

Accuracy

Total 0.1b remaining (70.6%)

Threshold costs 0.1b (70.6%)

Counts
122 → 1
Compiler

Compiled 1336 to 523 computations (60.9% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
11015
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
Outputs
(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))

end117.0ms (2%)

Stop Event
1×fuel
Compiler

Compiled 150 to 104 computations (30.7% saved)

Profiling

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