Details

Time bar (total: 9.9s)

analyze180.0ms (1.8%)

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
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.9s (49.1%)

Results
1.3s1953×body1024invalid
1.3s5153×body256valid
1.2s2058×body1024valid
412.0ms1486×body256invalid
410.0ms995×body512invalid
332.0ms1043×body512valid
3.0ms2×body2048valid

preprocess77.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
824×fma-def_binary64
728×unswap-sqr_binary64
406×associate-/r/_binary64
395×associate-*l/_binary64
352×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12822
25922
312122
422822
537922
675022
7226322
8469822
9610222
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 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (cosh.f64 y) (/.f64 (sin.f64 x) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify87.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
883×fma-def_binary64
772×unswap-sqr_binary64
453×associate-/l*_binary64
363×times-frac_binary64
271×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23311
36511
411811
519411
638611
7112011
8321811
9357111
10409511
11568711
12645811
13745611
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))

eval1.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (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
Click to see full alt table
StatusErrorProgram
▶0.5b
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
▶0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series13.0ms (0.1%)

Counts
3 → 40
Calls

12 calls:

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

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
839×pow1_binary64
777×add-log-exp_binary64
776×log1p-expm1-u_binary64
776×expm1-log1p-u_binary64
759×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
114920
2203320
Stop Event
1×node limit
Counts
3 → 81
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) y)
(cosh.f64 x)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (/.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 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 log1p.f64 (expm1.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)))))))))

simplify63.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
601×associate-+l+_binary64
513×times-frac_binary64
502×associate-+r+_binary64
419×associate-/l*_binary64
341×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
074830
1194824
2582752
32108717
47145707
Stop Event
1×node limit
Counts
121 → 111
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))))
(*.f64 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)))
(/.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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
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(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
✓0.0b
(/.f64 (cosh.f64 x) y)
✓0.5b
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
832×pow1_binary64
770×add-log-exp_binary64
769×log1p-expm1-u_binary64
769×expm1-log1p-u_binary64
752×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114917
2202317
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))) (#(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 (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 (*.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 (cosh.f64 x)) (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cosh.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (cosh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))))))

simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
600×times-frac_binary64
585×associate-+l+_binary64
485×associate-/l*_binary64
478×associate-+r+_binary64
373×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0691024
11861020
2541938
31886907
47156901
Stop Event
1×node limit
Counts
101 → 79
Calls
Call 1
Inputs
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
Outputs
(*.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 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y y) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (*.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (*.f64 1/240 (pow.f64 y 4)) (*.f64 -1/12 (*.f64 y y)))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/240 (pow.f64 y 4)) (*.f64 -1/10080 (pow.f64 y 6)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (*.f64 -1/12 (*.f64 y y))) (+.f64 (*.f64 1/240 (pow.f64 y 4)) (*.f64 -1/10080 (pow.f64 y 6)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
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(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
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eval55.0ms (0.6%)

Compiler

Compiled 2904 to 1306 computations (55% saved)

prune43.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New20612218
Fresh000
Picked101
Done011
Total20713220
Error
0.0b
Counts
220 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
2.4b
(/.f64 (sin.f64 y) y)
0.7b
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
▶0.1b
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
1.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.8b
(*.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
31.0b
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
15.4b
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
▶2.5b
(*.f64 (sin.f64 y) (/.f64 1 y))
▶27.5b
(*.f64 (cosh.f64 x) 1)
25.7b
(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1)
▶1.6b
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
Compiler

Compiled 271 to 194 computations (28.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
✓0.0b
(*.f64 (sin.f64 y) (cosh.f64 x))
✓0.1b
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
✓0.1b
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
Compiler

Compiled 30 to 9 computations (70% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
504×log-prod_binary64
394×exp-prod_binary64
351×prod-exp_binary64
289×pow-prod-down_binary64
247×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
119030
2256430
Stop Event
1×node limit
Counts
3 → 178
Calls
Call 1
Inputs
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (sin.f64 y) (cosh.f64 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (cosh.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 (cosh.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (*.f64 (log.f64 (sin.f64 y)) 1)))))))

simplify144.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
654×fma-def_binary64
591×times-frac_binary64
506×cancel-sign-sub-inv_binary64
351×associate-*r*_binary64
351×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01221823
13511807
211331672
348031604
Stop Event
1×node limit
Counts
250 → 229
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (*.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 (*.f64 31/7560 (/.f64 (pow.f64 y 6) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 y (sin.f64 y))
(+.f64 (/.f64 y (sin.f64 y)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))))
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 x 4))) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y)))))
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (/.f64 y (sin.f64 y))) (+.f64 (*.f64 -1/48 (/.f64 y (sin.f64 y))) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y))))))) (pow.f64 x 6))))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 5))) (+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))))
(+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 7))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 5))) (+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(sin.f64 y)
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(+.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)))
(+.f64 (*.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
Outputs
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 1/3 (/.f64 (*.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/3 (/.f64 y (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 (*.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 y (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/3 (/.f64 y (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (fma.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 31/7560 (/.f64 (pow.f64 y 6) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))))
(fma.f64 31/7560 (/.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 (*.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 31/7560 (/.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 y (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 31/7560 (/.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 y (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(+.f64 (/.f64 y (sin.f64 y)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))))
(+.f64 (/.f64 y (sin.f64 y)) (*.f64 -1/2 (/.f64 y (/.f64 (sin.f64 y) (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 x x)) (/.f64 y (sin.f64 y)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 x x) (sin.f64 y)) y) (/.f64 y (sin.f64 y)))
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 x 4))) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y)))))
(+.f64 (/.f64 y (sin.f64 y)) (fma.f64 -1 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) -5/24) (pow.f64 x 4)) (*.f64 -1/2 (/.f64 y (/.f64 (sin.f64 y) (*.f64 x x))))))
(+.f64 (/.f64 y (sin.f64 y)) (-.f64 (/.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) y) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 -5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 x x)) (fma.f64 (pow.f64 x 4) (*.f64 (/.f64 y (sin.f64 y)) 5/24) (/.f64 y (sin.f64 y))))
(+.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -5/24))))
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (/.f64 y (sin.f64 y))) (+.f64 (*.f64 -1/48 (/.f64 y (sin.f64 y))) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y))))))) (pow.f64 x 6))))))
(+.f64 (/.f64 y (sin.f64 y)) (fma.f64 -1 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) -5/24) (pow.f64 x 4)) (fma.f64 -1/2 (/.f64 y (/.f64 (sin.f64 y) (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 1/720 (/.f64 y (sin.f64 y)) (fma.f64 -1/48 (/.f64 y (sin.f64 y)) (*.f64 -1/2 (*.f64 (/.f64 y (sin.f64 y)) -5/24)))) (pow.f64 x 6))))))
(+.f64 (-.f64 (/.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) y) (sin.f64 y)) (*.f64 (+.f64 (*.f64 (/.f64 y (sin.f64 y)) 5/48) (*.f64 (/.f64 y (sin.f64 y)) -7/360)) (pow.f64 x 6))) (-.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 -5/24 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 x x)) (fma.f64 (pow.f64 x 4) (*.f64 (/.f64 y (sin.f64 y)) 5/24) (/.f64 y (sin.f64 y)))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) 61/720) (pow.f64 x 6)))
(+.f64 (/.f64 y (sin.f64 y)) (fma.f64 (pow.f64 x 6) (*.f64 (/.f64 y (sin.f64 y)) -61/720) (*.f64 (/.f64 y (sin.f64 y)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -5/24)))))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 2 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y))
(/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
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(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(sin.f64 y)
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y))
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y))
(*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))
(+.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)))
(fma.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)))
(fma.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)))
(+.f64 (sin.f64 y) (*.f64 (sin.f64 y) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/2)))))
(*.f64 (sin.f64 y) (+.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))))
(fma.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6)) (fma.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y))))
(fma.f64 (*.f64 (sin.f64 y) 1/720) (pow.f64 x 6) (fma.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y))))
(+.f64 (sin.f64 y) (fma.f64 (sin.f64 y) (*.f64 1/720 (pow.f64 x 6)) (*.f64 (sin.f64 y) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/2))))))
(+.f64 (sin.f64 y) (*.f64 (sin.f64 y) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 x (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 3) 1/24))))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) 1/2)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
Compiler

Compiled 10 to 6 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (sin.f64 y) (/.f64 1 y))
Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
545×pow1_binary64
522×add-sqr-sqrt_binary64
503×add-log-exp_binary64
503×log1p-expm1-u_binary64
503×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11206
214346
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) 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 log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))))

simplify118.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1583×fma-def_binary64
599×sqr-pow_binary64
435×associate-/r*_binary64
392×*-commutative_binary64
326×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021100
14598
210194
329994
4115394
5293094
6355394
7396794
8438494
9514694
10548094
11680794
12727494
13783094
Stop Event
1×node limit
Counts
33 → 28
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.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)
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/120 -1/6) 1)
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/120 -1/6) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.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)

localize40.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

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
x
@0
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
0.0ms
y
@0
(/.f64 y (sin.f64 y))
0.0ms
y
@0
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
932×pow1_binary64
867×add-log-exp_binary64
866×log1p-expm1-u_binary64
866×expm1-log1p-u_binary64
847×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115517
2226717
Stop Event
1×node limit
Counts
2 → 72
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 (+.f64 1 (*.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 (pow.f64 (exp.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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (/.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 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 log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))))

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
575×associate-+l+_binary64
492×times-frac_binary64
474×associate-+r+_binary64
385×associate-/l*_binary64
339×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066674
1174670
2525608
31916577
46783568
Stop Event
1×node limit
Counts
100 → 96
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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) 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 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
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 (sin.f64 y) (/.f64 (*.f64 x x) y)) (/.f64 (sin.f64 y) y))
(*.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.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 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) y)))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (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 (sin.f64 y) y) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))))
(+.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 (*.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 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (*.f64 x x)) 1/2)))))
(+.f64 (fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 (*.f64 x x) y)) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/720 (pow.f64 x 6))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (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 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y y) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (*.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (*.f64 -1/12 (*.f64 y y)) (*.f64 1/240 (pow.f64 y 4)))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 -1/10080 (pow.f64 y 6)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/240 (pow.f64 y 4)) (*.f64 -1/10080 (pow.f64 y 6)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (*.f64 -1/10080 (pow.f64 y 6))) (+.f64 (*.f64 -1/12 (*.f64 y y)) (*.f64 1/240 (pow.f64 y 4)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 y y)) (+.f64 (*.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/10080 (pow.f64 y 6))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 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 (fma.f64 (*.f64 y y) 1/6 1) (*.f64 (pow.f64 y 4) 7/360))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (*.f64 y y) 1/6 (*.f64 (pow.f64 y 4) 7/360))))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (cosh.f64 x) y)
✓0.5b
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
✓0.7b
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
✓0.8b
(cbrt.f64 (/.f64 (cosh.f64 x) y))
Compiler

Compiled 35 to 12 computations (65.7% saved)

series88.0ms (0.9%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
61.0ms
x
@-inf
(cbrt.f64 (/.f64 (cosh.f64 x) y))
4.0ms
y
@0
(cbrt.f64 (/.f64 (cosh.f64 x) y))
4.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
3.0ms
y
@-inf
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
2.0ms
x
@inf
(cbrt.f64 (/.f64 (cosh.f64 x) y))

rewrite108.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
975×pow1_binary64
911×add-log-exp_binary64
910×log1p-expm1-u_binary64
910×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
121625
2247025
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) (pow.f64 (/.f64 (cosh.f64 x) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cosh.f64 x) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) 3) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (pow.f64 (/.f64 (cosh.f64 x) y) 1/6)) (pow.f64 (/.f64 (cosh.f64 x) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (cosh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cosh.f64 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (/.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cosh.f64 x)) (sin.f64 y)) (neg.f64 y))))) (#(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) (neg.f64 (cosh.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))))))

simplify72.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
766×distribute-rgt-in_binary64
680×fma-def_binary64
677×times-frac_binary64
440×associate-*l*_binary64
435×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171222
13541165
211591056
353291002
Stop Event
1×node limit
Counts
144 → 133
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 y) 1/3)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))
(+.f64 (*.f64 -1/72 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3)))
(+.f64 (*.f64 23/6480 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 6))) (+.f64 (*.f64 -1/72 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 1 1/3) (/.f64 1 y))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (/.f64 1 y)))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (*.f64 -1/72 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (*.f64 (pow.f64 1 1/3) (/.f64 1 y))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (*.f64 -1/72 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (*.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (*.f64 23/3240 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (+.f64 (*.f64 23/6480 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))))) (*.f64 -1/216 (*.f64 (pow.f64 1 1/3) (/.f64 1 y)))))) (pow.f64 x 6)) (*.f64 (pow.f64 1 1/3) (/.f64 1 y)))))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
Outputs
(pow.f64 (/.f64 1 y) 1/3)
(cbrt.f64 (/.f64 1 y))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))
(fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 x x)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 x x)) 1) (cbrt.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1/72 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3)))
(fma.f64 -1/72 (*.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 x 4)) (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 x x)) (cbrt.f64 (/.f64 1 y))))
(+.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -1/72 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 (*.f64 1/6 (*.f64 x x)) (+.f64 (*.f64 -1/72 (pow.f64 x 4)) 1)))
(+.f64 (*.f64 23/6480 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 6))) (+.f64 (*.f64 -1/72 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))))
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(+.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 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/24))))
(+.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 y (*.f64 (pow.f64 x 6) (sin.f64 y))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (pow.f64 x 6) 1/720)))))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/24))) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (pow.f64 x 6) 1/720))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))

eval348.0ms (3.5%)

Compiler

Compiled 9121 to 4254 computations (53.4% saved)

prune363.0ms (3.7%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New59713610
Fresh707
Picked101
Done145
Total60617623
Error
0b
Counts
623 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
28.8b
1
22.4b
(/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3))))
▶32.3b
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
3.5b
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
✓2.5b
(*.f64 (sin.f64 y) (/.f64 1 y))
32.4b
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
✓27.5b
(*.f64 (cosh.f64 x) 1)
2.4b
(/.f64 1 (/.f64 y (sin.f64 y)))
16.9b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
1.8b
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶2.9b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
15.4b
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
▶2.4b
(/.f64 (sin.f64 y) y)
✓0.1b
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
▶1.8b
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
▶27.2b
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
Compiler

Compiled 297 to 218 computations (26.6% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (*.f64 x x) 1/2)
✓0.0b
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
0.1b
(/.f64 (sin.f64 y) y)
Compiler

Compiled 39 to 18 computations (53.8% saved)

series8.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
1.0ms
x
@inf
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
1.0ms
y
@0
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
1.0ms
y
@inf
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
1.0ms
x
@0
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))

rewrite92.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
851×prod-diff_binary64
577×log-prod_binary64
413×fma-def_binary64
296×pow2_binary64
207×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
123623
2322723
Stop Event
1×node limit
Counts
2 → 142
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) 1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x x) 1/2)) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) 1) (*.f64 (/.f64 y (sin.f64 y)) (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (/.f64 y (sin.f64 y)) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) 1)) (*.f64 y (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) 1)) (*.f64 (neg.f64 y) (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (*.f64 y (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (*.f64 (neg.f64 y) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) 1) (sin.f64 y)) (*.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (sin.f64 y)) (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) 1) 1) (*.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) 1) (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) 1) (neg.f64 (sin.f64 y))) (*.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (neg.f64 (sin.f64 y))) (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x x) 1/2)) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x x) 1/2)) 2) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x x) 1/2)) 2)) (-.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) 1) (/.f64 (sin.f64 y) y)) (+.f64 1 (fma.f64 1/4 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 x 1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) -1)))))

simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
933×fma-def_binary64
839×times-frac_binary64
616×associate-+l+_binary64
555×associate-+r+_binary64
550×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038580
198530
2312504
31269486
44933479
Stop Event
1×node limit
Counts
178 → 158
Calls
Call 1
Inputs
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (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 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) 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 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) 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 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
Outputs
(+.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)
(fma.f64 x (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (*.f64 y y)) (+.f64 1 (*.f64 1/2 (*.f64 x x))))
(fma.f64 -1/6 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 y y)) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (fma.f64 x (*.f64 1/2 x) 1) (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (*.f64 y y)) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 4))))))
(+.f64 (fma.f64 1/120 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 4)) (*.f64 1/2 (*.f64 x x))) (fma.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1/6) (*.f64 y y) 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/6 (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 1/2 x) 1) (+.f64 (*.f64 -1/6 (*.f64 y y)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 -1/6 (*.f64 y y)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (*.f64 y y)) (+.f64 1 (fma.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 6)) (fma.f64 1/2 (*.f64 x x) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 4)))))))
(+.f64 (fma.f64 -1/5040 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 6)) (fma.f64 1/120 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 4)) (*.f64 1/2 (*.f64 x x)))) (fma.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1/6) (*.f64 y y) 1))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (fma.f64 1/2 (*.f64 x x) 1)) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 x x) -1/12 -1/6)) (*.f64 (fma.f64 x (*.f64 1/2 x) 1) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (fma.f64 1/120 (pow.f64 y 4) 1))))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (fma.f64 -1/6 (*.f64 y y) 1) (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) 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 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
(*.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)))
(*.f64 1/2 (*.f64 x (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
(*.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)))
(*.f64 1/2 (*.f64 x (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
Compiler

Compiled 9 to 4 computations (55.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
✓2.8b
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
Compiler

Compiled 24 to 11 computations (54.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
0.0ms
y
@-inf
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
0.0ms
y
@0
(+.f64 1 (/.f64 (sin.f64 y) y))
0.0ms
y
@-inf
(+.f64 1 (/.f64 (sin.f64 y) y))
0.0ms
y
@inf
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
850×pow1_binary64
796×add-log-exp_binary64
796×log1p-expm1-u_binary64
796×expm1-log1p-u_binary64
782×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116015
2236815
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(+.f64 1 (/.f64 (sin.f64 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (sin.f64 y) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (sin.f64 y) y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sin.f64 y) y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) 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 (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 (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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.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 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) (+.f64 (/.f64 (sin.f64 y) y) 2))))))) (#(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 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1) (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) 2)))))) (#(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 *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) (+.f64 (/.f64 (sin.f64 y) y) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 y) y) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 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 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) (+.f64 (/.f64 (sin.f64 y) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1) (+.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1) (-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) (+.f64 (/.f64 (sin.f64 y) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1)) (neg.f64 (+.f64 (/.f64 (sin.f64 y) y) 2)))))) (#(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 1 (pow.f64 (+.f64 (/.f64 (sin.f64 y) y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) y) -1) (+.f64 (/.f64 (sin.f64 y) y) -1)) (+.f64 (/.f64 (sin.f64 y) y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (sin.f64 y) y) -1) (+.f64 (/.f64 (sin.f64 y) y) -1))) (-.f64 1 (+.f64 (/.f64 (sin.f64 y) y) -1)))))) (#(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 pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(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 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(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 cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) 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 log1p.f64 (expm1.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 fma.f64 1 (+.f64 1 (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sin.f64 y) y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (/.f64 1 (-.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))) (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 (sin.f64 y) y)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (-.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (neg.f64 (-.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (+.f64 (/.f64 (sin.f64 y) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) 1) (-.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)))))

simplify127.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
2082×fma-def_binary64
477×sqr-pow_binary64
430×associate-/r*_binary64
386×*-commutative_binary64
326×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025208
157204
2136196
3391196
41372196
53402196
64025196
74435196
84855196
95593196
105927196
117441196
127908196
Stop Event
1×node limit
Counts
121 → 113
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.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)
2
(+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)
1
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(fma.f64 y (fma.f64 1/120 (pow.f64 y 3) (*.f64 -1/6 y)) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(/.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)
2
(+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 2 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 2)
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 2 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 2))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 2))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 2)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 2)))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 2)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 2)))
1
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (/.f64 (sin.f64 y) y))
1
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (/.f64 (sin.f64 y) y))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
✓0.3b
(cbrt.f64 (/.f64 (sin.f64 y) y))
✓0.3b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
Compiler

Compiled 22 to 8 computations (63.6% saved)

series5.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
1.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
1.0ms
y
@inf
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
1.0ms
y
@-inf
(cbrt.f64 (/.f64 (sin.f64 y) y))
1.0ms
y
@0
(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite112.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
643×pow1_binary64
607×add-log-exp_binary64
607×log1p-expm1-u_binary64
607×expm1-log1p-u_binary64
592×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115314
2166014
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(cbrt.f64 (/.f64 (sin.f64 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (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 1 (/.f64 (sin.f64 y) y))))) (#(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 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (*.f64 (cbrt.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 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))))) (#(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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3))))) (#(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 (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 *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (/.f64 (sin.f64 y) y) 1/6)) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))))) (#(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 1 (/.f64 (/.f64 y (sin.f64 y)) 1))))) (#(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 -1 (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (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 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))))) (#(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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (cbrt.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))))

simplify122.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
742×*-commutative_binary64
652×distribute-lft-out_binary64
499×sqr-pow_binary64
450×associate-+l+_binary64
432×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031104
172100
217394
351092
4199492
5360492
6444992
7490792
8568692
9657192
10710092
11774192
Stop Event
1×node limit
Counts
80 → 85
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/3240 (pow.f64 y 4)) (*.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1/3240 (pow.f64 y 4)) (+.f64 (*.f64 -53/1224720 (pow.f64 y 6)) (*.f64 -1/18 (pow.f64 y 2)))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) -1/18))
(fma.f64 (*.f64 y y) -1/18 1)
(fma.f64 y (*.f64 y -1/18) 1)
(+.f64 1 (+.f64 (*.f64 -1/3240 (pow.f64 y 4)) (*.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/3240 (pow.f64 y 4) (*.f64 (*.f64 y y) -1/18)))
(+.f64 1 (fma.f64 (*.f64 y y) -1/18 (*.f64 (pow.f64 y 4) -1/3240)))
(fma.f64 y (*.f64 y -1/18) (fma.f64 (pow.f64 y 4) -1/3240 1))
(+.f64 1 (+.f64 (*.f64 -1/3240 (pow.f64 y 4)) (+.f64 (*.f64 -53/1224720 (pow.f64 y 6)) (*.f64 -1/18 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/3240 (pow.f64 y 4) (fma.f64 -53/1224720 (pow.f64 y 6) (*.f64 (*.f64 y y) -1/18))))
(+.f64 1 (fma.f64 (pow.f64 y 4) -1/3240 (fma.f64 (*.f64 y y) -1/18 (*.f64 (pow.f64 y 6) -53/1224720))))
(+.f64 (fma.f64 y (*.f64 y -1/18) 1) (fma.f64 (pow.f64 y 4) -1/3240 (*.f64 (pow.f64 y 6) -53/1224720)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y -1/3240) -1/18) (fma.f64 (pow.f64 y 6) -53/1224720 1))
(fma.f64 y (*.f64 y -1/18) (fma.f64 (pow.f64 y 4) -1/3240 (fma.f64 (pow.f64 y 6) -53/1224720 1)))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
✓0.2b
(/.f64 (sin.f64 y) (sqrt.f64 y))
Compiler

Compiled 20 to 6 computations (70% saved)

series7.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/.f64 (sin.f64 y) (sqrt.f64 y))
1.0ms
y
@-inf
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
1.0ms
y
@0
(/.f64 (sin.f64 y) (sqrt.f64 y))
1.0ms
y
@inf
(/.f64 (sin.f64 y) (sqrt.f64 y))
0.0ms
y
@0
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))

rewrite73.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
728×pow1_binary64
680×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
664×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
112914
2183114
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (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)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sin.f64 y) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (sin.f64 y) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2)))))) (#(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) (sqrt.f64 y)) (pow.f64 y -1/2))))) (#(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 (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 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y -1/2)))))) (#(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 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.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 *.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 (sin.f64 y) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.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 (sin.f64 y) 1) (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y 1/4)))))) (#(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 1 (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 (sqrt.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 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 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))))

simplify52.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
580×div-sub_binary64
578×associate-/l*_binary64
385×associate-*l/_binary64
377×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027100
16198
215694
346094
4201794
5704694
Stop Event
1×node limit
Counts
86 → 83
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (sin.f64 y) y)

eval160.0ms (1.6%)

Compiler

Compiled 8417 to 4031 computations (52.1% saved)

prune102.0ms (1%)

Pruning

19 alts after pruning (10 fresh and 9 done)

PrunedKeptTotal
New5874591
Fresh268
Picked011
Done088
Total58919608
Error
0b
Counts
608 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.3b
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
▶60.8b
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
✓2.5b
(*.f64 (sin.f64 y) (/.f64 1 y))
▶32.4b
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
✓27.5b
(*.f64 (cosh.f64 x) 1)
32.2b
(/.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) (sqrt.f64 y))
2.4b
(/.f64 1 (/.f64 y (sin.f64 y)))
▶16.9b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
▶1.8b
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓2.9b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
15.4b
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
1.9b
(*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
✓2.4b
(/.f64 (sin.f64 y) y)
28.8b
1
✓0.1b
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
✓1.8b
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
▶28.4b
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
✓27.2b
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
Compiler

Compiled 298 to 217 computations (27.2% saved)

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))
✓0.1b
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))
✓0.1b
(/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)))
Compiler

Compiled 59 to 37 computations (37.3% saved)

series23.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
13.0ms
x
@inf
(/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)))
1.0ms
y
@0
(/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)))
1.0ms
y
@-inf
(/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)))
1.0ms
y
@inf
(/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)))
1.0ms
y
@inf
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))

rewrite136.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
667×log-prod_binary64
384×prod-diff_binary64
323×pow2_binary64
247×pow-unpow_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
126045
2347645
Stop Event
1×node limit
Counts
3 → 141
Calls
Call 1
Inputs
(/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))
(*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))) (sqrt.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 x x)) (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (*.f64 1/2 (*.f64 x x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (*.f64 1/2 (*.f64 x x)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) 1 (*.f64 (*.f64 1/2 (*.f64 x x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) 1 (*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (*.f64 1/2 (*.f64 x x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 x x))))))))

simplify107.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
573×distribute-rgt-in_binary64
481×distribute-lft-out_binary64
479×fma-def_binary64
356×distribute-rgt-out_binary64
348×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01151680
13071570
29301431
338041366
467521353
Stop Event
1×node limit
Counts
213 → 194
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 1/6 (/.f64 (pow.f64 y 2) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 1/6 (/.f64 (pow.f64 y 2) (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 31/15120 (/.f64 (pow.f64 y 6) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(+.f64 (/.f64 y (sin.f64 y)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))))
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))) (*.f64 1/4 (/.f64 (*.f64 y (pow.f64 x 4)) (sin.f64 y)))))
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 y (pow.f64 x 6)) (sin.f64 y))) (*.f64 1/4 (/.f64 (*.f64 y (pow.f64 x 4)) (sin.f64 y))))))
(*.f64 2 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 2))))
(+.f64 (*.f64 -4 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 4)))) (*.f64 2 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 2)))))
(+.f64 (*.f64 8 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 6)))) (+.f64 (*.f64 -4 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 4)))) (*.f64 2 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 2))))))
(+.f64 (*.f64 -16 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 8)))) (+.f64 (*.f64 8 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 6)))) (+.f64 (*.f64 -4 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 4)))) (*.f64 2 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 2)))))))
(*.f64 2 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 2))))
(+.f64 (*.f64 -4 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 4)))) (*.f64 2 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 2)))))
(+.f64 (*.f64 8 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 6)))) (+.f64 (*.f64 -4 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 4)))) (*.f64 2 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 2))))))
(+.f64 (*.f64 -16 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 8)))) (+.f64 (*.f64 8 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 6)))) (+.f64 (*.f64 -4 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 4)))) (*.f64 2 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 2)))))))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (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 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) 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 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) 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 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(sin.f64 y)
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 7))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y))))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
Outputs
(/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x))))
(/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 1/6 (/.f64 (pow.f64 y 2) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (/.f64 (*.f64 1/6 (*.f64 y y)) (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(fma.f64 1/6 (/.f64 (*.f64 y y) (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 1/6 (*.f64 (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)) y) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 1/6 (/.f64 (pow.f64 y 2) (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (/.f64 (*.f64 1/6 (*.f64 y y)) (+.f64 1 (*.f64 1/2 (*.f64 x x))))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 1/6 (/.f64 (*.f64 y y) (fma.f64 1/2 (*.f64 x x) 1)) (*.f64 7/360 (/.f64 (pow.f64 y 4) (fma.f64 1/2 (*.f64 x x) 1)))))
(fma.f64 1/6 (*.f64 (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 1/6 (/.f64 (*.f64 y y) (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 31/15120 (/.f64 (pow.f64 y 6) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (fma.f64 1/6 (/.f64 (*.f64 y y) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (/.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 1 (*.f64 1/2 (*.f64 x x)))))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 1/6 (/.f64 (*.f64 y y) (fma.f64 1/2 (*.f64 x x) 1)) (*.f64 31/15120 (/.f64 (pow.f64 y 6) (fma.f64 1/2 (*.f64 x x) 1))))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 1/6 (*.f64 (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 (*.f64 31/15120 (pow.f64 y 6)) (fma.f64 1/2 (*.f64 x x) 1)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 1/6 (/.f64 (*.f64 y y) (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (fma.f64 1/2 (*.f64 x x) 1)) (*.f64 (/.f64 31/15120 (fma.f64 1/2 (*.f64 x x) 1)) (pow.f64 y 6)))))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (sin.f64 y)))
(/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))
(/.f64 (/.f64 y (sin.f64 y)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)))
(/.f64 y (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (sin.f64 y)))
(/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)))
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(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) 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 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) x))
(*.f64 (/.f64 1/2 y) (*.f64 x (*.f64 x (sin.f64 y))))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) x))
(*.f64 (/.f64 1/2 y) (*.f64 x (*.f64 x (sin.f64 y))))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(sin.f64 y)
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2)))
(*.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)))
(*.f64 (*.f64 1/2 (*.f64 x x)) (sin.f64 y))
(*.f64 1/2 (*.f64 x (*.f64 x (sin.f64 y))))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2)))
(*.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)))
(*.f64 (*.f64 1/2 (*.f64 x x)) (sin.f64 y))
(*.f64 1/2 (*.f64 x (*.f64 x (sin.f64 y))))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) y)
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(fma.f64 (*.f64 1/2 (*.f64 x x)) y y)
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y))
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 3)) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) y))
(fma.f64 (fma.f64 1/2 (*.f64 x x) 1) y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (pow.f64 y 3) -1/6)))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)))
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 5)) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) y)))
(fma.f64 -1/6 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 3)) (fma.f64 (fma.f64 1/2 (*.f64 x x) 1) y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (pow.f64 y 5) 1/120))))
(fma.f64 (pow.f64 y 3) (+.f64 -1/6 (*.f64 (*.f64 x x) -1/12)) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 7))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y))))
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 5)) (fma.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 7)) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) y))))
(fma.f64 -1/6 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 5)) (fma.f64 (fma.f64 1/2 (*.f64 x x) 1) y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (pow.f64 y 7) -1/5040)))))
(+.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(fma.f64 1/2 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y))
(fma.f64 (*.f64 1/2 (sin.f64 y)) (*.f64 x x) (sin.f64 y))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))

localize72.0ms (0.7%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 x x) 1/2)
Compiler

Compiled 29 to 17 computations (41.4% saved)

localize55.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
✓0.1b
(*.f64 (sin.f64 y) (/.f64 x (/.f64 y x)))
✓0.2b
(/.f64 x (/.f64 y x))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite86.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
561×log-prod_binary64
431×exp-prod_binary64
318×pow-prod-down_binary64
276×pow-unpow_binary64
255×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
119434
2265934
Stop Event
1×node limit
Counts
3 → 126
Calls
Call 1
Inputs
(/.f64 x (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x (/.f64 y x)))
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) x) -2)) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule 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y) 1)))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (/.f64 x y))))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (/.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sin.f64 y)) 1/2) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 x (sin.f64 y))) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) 1/2) x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) 1/2) 1) (/.f64 (/.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) 1/2) (neg.f64 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 (*.f64 x (/.f64 x y)) (sin.f64 y)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 (*.f64 x (/.f64 x y)) (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))) 1) 1))))))

simplify82.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
851×unswap-sqr_binary64
530×distribute-lft-out_binary64
519×times-frac_binary64
437×associate-/l*_binary64
387×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041912
1108889
2349857
31545853
43415853
57944853
Stop Event
1×node limit
Counts
198 → 147
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(pow.f64 x 2)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 x 2))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 1/120 (*.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 1/120 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/10080 (*.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 x 2))
(fma.f64 -1/6 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 x (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y -1/6) y 1)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 1/120 (*.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 1/120 (*.f64 (*.f64 x x) (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1) (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y -1/6)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 x (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 4)) (fma.f64 (*.f64 y -1/6) y 1))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 1/120 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(fma.f64 -1/6 (*.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1/5040 (*.f64 (*.f64 x x) (pow.f64 y 6)) (+.f64 (*.f64 x x) (*.f64 1/120 (*.f64 (*.f64 x x) (pow.f64 y 4))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 (*.f64 y y)) (*.f64 -1/5040 (pow.f64 y 6)))))
(fma.f64 (*.f64 x x) (fma.f64 -1/6 (*.f64 y y) (*.f64 -1/5040 (pow.f64 y 6))) (*.f64 (*.f64 x x) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 (*.f64 x x) (+.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 (*.f64 x x) (+.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 (*.f64 y -1/6) y (*.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 x y) (sin.f64 y)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/2)
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 y y)) -1/12))
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (*.f64 y y) -1/12)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y -1/12) y 1/2))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) -1/12 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/12 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) 1/240)))
(fma.f64 (*.f64 x x) 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 y y) -1/12) (*.f64 (pow.f64 y 4) 1/240))))
(*.f64 (*.f64 x x) (+.f64 1/2 (fma.f64 (pow.f64 y 4) 1/240 (*.f64 y (*.f64 y -1/12)))))
(*.f64 (*.f64 x x) (+.f64 1/2 (fma.f64 (*.f64 y y) -1/12 (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (*.f64 -1/10080 (*.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(fma.f64 -1/10080 (*.f64 (*.f64 x x) (pow.f64 y 6)) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/12 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) 1/240))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 y y) -1/12) (*.f64 (pow.f64 y 4) 1/240))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 y 6) -1/10080) 1/2)))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 (pow.f64 y 4) 1/240 (*.f64 y (*.f64 y -1/12))) (fma.f64 (pow.f64 y 6) -1/10080 1/2)))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 (pow.f64 y 6) -1/10080 1/2) (fma.f64 (*.f64 y y) -1/12 (*.f64 (pow.f64 y 4) 1/240))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sin.f64 y)) y) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) 1/2)
(*.f64 (*.f64 x x) (/.f64 (sin.f64 y) (/.f64 y 1/2)))
(*.f64 x (*.f64 (/.f64 1/2 y) (*.f64 x (sin.f64 y))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
✓0.1b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
Compiler

Compiled 22 to 8 computations (63.6% saved)

series6.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
2.0ms
y
@inf
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
1.0ms
y
@-inf
(sqrt.f64 (/.f64 (sin.f64 y) y))
1.0ms
y
@0
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
1.0ms
y
@inf
(sqrt.f64 (/.f64 (sin.f64 y) y))

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
624×pow1_binary64
582×add-log-exp_binary64
582×log1p-expm1-u_binary64
582×expm1-log1p-u_binary64
568×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115014
2159414
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(sqrt.f64 (/.f64 (sin.f64 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(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 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))))) (#(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 *.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(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 1 (/.f64 (/.f64 y (sin.f64 y)) 1))))) (#(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 -1 (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (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 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))))) (#(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 cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))))

simplify120.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
744×*-commutative_binary64
652×distribute-lft-out_binary64
499×sqr-pow_binary64
451×associate-+l+_binary64
432×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030104
169100
217092
352892
4200192
5358992
6443492
7489292
8567192
9655692
10708592
11772692
Stop Event
1×node limit
Counts
78 → 83
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 -1/24192 (pow.f64 y 6)) (+.f64 (*.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) 1)
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) -1/12))
(fma.f64 (*.f64 y y) -1/12 1)
(fma.f64 y (*.f64 y -1/12) 1)
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/12 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/1440)))
(+.f64 1 (fma.f64 (*.f64 y y) -1/12 (*.f64 (pow.f64 y 4) 1/1440)))
(fma.f64 (*.f64 y y) -1/12 (fma.f64 (pow.f64 y 4) 1/1440 1))
(fma.f64 y (*.f64 y -1/12) (fma.f64 (pow.f64 y 4) 1/1440 1))
(+.f64 1 (+.f64 (*.f64 -1/24192 (pow.f64 y 6)) (+.f64 (*.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/24192 (pow.f64 y 6) (fma.f64 -1/12 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/1440))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 (*.f64 y y) -1/12 (*.f64 (pow.f64 y 4) 1/1440))))
(fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 (*.f64 y y) -1/12 (fma.f64 (pow.f64 y 4) 1/1440 1)))
(fma.f64 y (*.f64 y -1/12) (fma.f64 (pow.f64 y 4) 1/1440 (fma.f64 (pow.f64 y 6) -1/24192 1)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (sin.f64 y))
✓0.1b
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
✓0.2b
(/.f64 y (sqrt.f64 (sin.f64 y)))
Compiler

Compiled 22 to 6 computations (72.7% saved)

series6.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

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

rewrite71.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
718×pow1_binary64
670×add-log-exp_binary64
670×log1p-expm1-u_binary64
670×expm1-log1p-u_binary64
653×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0628
113019
2183719
Stop Event
1×node limit
Counts
3 → 90
Calls
Call 1
Inputs
(/.f64 y (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (sqrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))) (cbrt.f64 (/.f64 (*.f64 y y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) (sin.f64 y))) (cbrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (sin.f64 y) 1/4)) (/.f64 y (pow.f64 (sin.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (sin.f64 y) 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 (sin.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) 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 (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 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) 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 (pow.f64 (sin.f64 y) 1/4) (*.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 (sqrt.f64 (sin.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (/.f64 1 (/.f64 (neg.f64 y) (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 y)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) 1) (/.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) y) (/.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (/.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 y y) (sin.f64 y)))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (*.f64 y y) (sin.f64 y)))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) (cbrt.f64 (/.f64 (*.f64 y y) (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 1/4) (cbrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y))))) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y))))) (/.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 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 (sqrt.f64 (sin.f64 y)) (neg.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) 1) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (pow.f64 (sin.f64 y) 1/4)) (pow.f64 (sin.f64 y) 1/4))))) (#(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 (sqrt.f64 (sin.f64 y)) (/.f64 (neg.f64 y) (sqrt.f64 (sin.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 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) 3/2) (pow.f64 (/.f64 y (sqrt.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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))))))

simplify133.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1583×fma-def_binary64
599×sqr-pow_binary64
434×associate-/r*_binary64
402×*-commutative_binary64
326×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024188
149186
2105182
3304182
41177182
52950182
63573182
73987182
84402182
95173182
105507182
116836182
127302182
137860182
Stop Event
1×node limit
Counts
110 → 99
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.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)
Outputs
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(/.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)

eval173.0ms (1.7%)

Compiler

Compiled 9140 to 4659 computations (49% saved)

prune107.0ms (1.1%)

Pruning

20 alts after pruning (6 fresh and 14 done)

PrunedKeptTotal
New6034607
Fresh325
Picked011
Done01313
Total60620626
Error
0b
Counts
626 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.3b
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
✓60.8b
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
✓2.5b
(*.f64 (sin.f64 y) (/.f64 1 y))
✓32.4b
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
✓27.5b
(*.f64 (cosh.f64 x) 1)
32.2b
(/.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) (sqrt.f64 y))
61.0b
(*.f64 x (*.f64 x 1/2))
16.9b
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2)
✓16.9b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
✓1.8b
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.4b
(/.f64 1 (/.f64 y (sin.f64 y)))
✓2.9b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
1.9b
(*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
✓2.4b
(/.f64 (sin.f64 y) y)
28.8b
1
✓0.1b
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
✓1.8b
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
✓28.4b
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
✓27.2b
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
Compiler

Compiled 198 to 145 computations (26.8% saved)

regimes81.0ms (0.8%)

Counts
35 → 1
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x 1/2))
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(*.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2)
(/.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) (sqrt.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

20.0ms
x
19.0ms
y
16.0ms
(/.f64 (sin.f64 y) y)
14.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
(cosh.f64 x)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
0.1b1(cosh.f64 x)
0.1b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 318 to 146 computations (54.1% saved)

regimes44.0ms (0.4%)

Counts
18 → 1
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x 1/2))
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(*.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
Outputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
Calls

5 calls:

11.0ms
y
10.0ms
(/.f64 (sin.f64 y) y)
9.0ms
x
7.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(cosh.f64 x)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(cosh.f64 x)
0.1b1(/.f64 (sin.f64 y) y)
0.1b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 154 to 81 computations (47.4% saved)

regimes36.0ms (0.4%)

Counts
16 → 1
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x 1/2))
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(*.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 1 (/.f64 y (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y))))
Outputs
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
Calls

5 calls:

10.0ms
y
9.0ms
x
6.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(cosh.f64 x)
2.0ms
(cosh.f64 x)
Results
ErrorSegmentsBranch
1.8b1x
1.8b1y
1.8b1(cosh.f64 x)
1.8b1(cosh.f64 x)
1.8b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 138 to 77 computations (44.2% saved)

regimes48.0ms (0.5%)

Counts
12 → 2
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x 1/2))
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
Outputs
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
Calls

4 calls:

21.0ms
y
12.0ms
(/.f64 (sin.f64 y) y)
7.0ms
x
2.0ms
(cosh.f64 x)
Results
ErrorSegmentsBranch
2.4b1x
1.1b3y
2.4b1(cosh.f64 x)
1.1b2(/.f64 (sin.f64 y) y)
Compiler

Compiled 82 to 47 computations (42.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes17.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
1
1
(*.f64 x (*.f64 x 1/2))
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
Outputs
(/.f64 (sin.f64 y) y)
Calls

3 calls:

6.0ms
x
5.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
Results
ErrorSegmentsBranch
2.4b1x
2.4b1y
2.4b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes10.0ms (0.1%)

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

2 calls:

5.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
28.4b1x
28.4b1y
Compiler

Compiled 24 to 18 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -32.7b remaining (-113.8%)

Threshold costs -32.7b (-113.8%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
28.8b1x
28.8b1y
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
1×+-commutative_binary64
1×*-lft-identity_binary64
1×*-rgt-identity_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02077
12977
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(if (<=.f64 (/.f64 (sin.f64 y) y) 1) (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) 1))
(/.f64 (sin.f64 y) y)
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
1
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(if (<=.f64 (/.f64 (sin.f64 y) y) 1) (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) 1))
(if (<=.f64 (/.f64 (sin.f64 y) y) 1) (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (sin.f64 y) y)
(*.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(+.f64 1 (*.f64 (*.f64 x x) 1/2))
1
Compiler

Compiled 65 to 44 computations (32.3% saved)

soundness0.0ms (0%)

end70.0ms (0.7%)

Compiler

Compiled 53 to 22 computations (58.5% saved)

Profiling

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