Details

Time bar (total: 4.7s)

analyze525.0ms (11.2%)

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
0%99.9%0.1%5
0%99.9%0.1%6
37.5%62.4%0.1%7
37.5%62.4%0.1%8
43.7%43.7%12.6%9
43.7%43.7%12.6%10
46.8%34.3%18.8%11
46.8%34.3%18.8%12
48.4%29.7%22%13
48.4%29.7%22%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample3.7s (78.4%)

Results
1.1s2149×body1024valid
1.0s2054×body1024invalid
575.0ms4589×body128valid
304.0ms963×body512invalid
302.0ms995×body512valid
124.0ms1004×body128invalid
114.0ms520×body256valid
112.0ms481×body256invalid
5.0ms3×body2048valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess34.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
620×fma-def_binary64
330×associate-/r/_binary64
292×associate-/l/_binary64
207×div-sub_binary64
184×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12822
26322
314422
432622
583122
6255022
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(/.f64 (cos.f64 y) (/.f64 x (sinh.f64 x)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify16.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
491×times-frac_binary64
402×associate-/l*_binary64
310×fma-def_binary64
305×associate-*l*_binary64
293×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23511
37711
417111
543111
6130111
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 34 to 20 computations (41.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (sinh.f64 y) y)
✓0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

series13.0ms (0.3%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
y
@inf
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
x
@0
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
y
@0
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
x
@inf
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

rewrite41.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
822×pow1_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
78×add-sqr-sqrt_binary64
77×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114817
2199817
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))))))

simplify42.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
686×fma-neg_binary64
387×fma-def_binary64
332×sub-neg_binary64
176×associate-/l*_binary64
153×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0105866
1332817
2993802
33629800
Stop Event
1×node limit
Counts
93 → 85
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (*.f64 y (exp.f64 y)))) (*.f64 1/2 (/.f64 (exp.f64 y) y))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 y (exp.f64 y)))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 y)) y))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (*.f64 y (exp.f64 y)))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (exp.f64 y) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (exp.f64 y) y)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 4) (*.f64 y (exp.f64 y)))) (*.f64 1/2 (/.f64 1 (*.f64 y (exp.f64 y)))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (*.f64 y (exp.f64 y)))) (+.f64 (*.f64 1/1440 (/.f64 (pow.f64 x 6) (*.f64 y (exp.f64 y)))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (exp.f64 y)) y)) (*.f64 1/2 (/.f64 (exp.f64 y) y))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 4) (*.f64 y (exp.f64 y)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 y (exp.f64 y)))) (*.f64 1/1440 (/.f64 (*.f64 (pow.f64 x 6) (exp.f64 y)) y))))))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y)))) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y)))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y)))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y)))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y)))) 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 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(/.f64 (-.f64 (*.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (*.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (*.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (*.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
Outputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (*.f64 y (exp.f64 y)))) (*.f64 1/2 (/.f64 (exp.f64 y) y))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 y (exp.f64 y)))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 y)) y))))
(-.f64 (fma.f64 1/4 (/.f64 (/.f64 (*.f64 x x) y) (exp.f64 y)) (*.f64 1/2 (/.f64 (exp.f64 y) y))) (+.f64 (/.f64 1/2 (*.f64 y (exp.f64 y))) (*.f64 1/4 (/.f64 (*.f64 x x) (/.f64 y (exp.f64 y))))))
(fma.f64 1/4 (*.f64 (/.f64 x y) (/.f64 x (exp.f64 y))) (-.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (*.f64 1/4 (/.f64 (*.f64 (*.f64 (exp.f64 y) x) x) y))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (*.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 (exp.f64 y) (/.f64 (*.f64 x x) y)) -1/4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (*.f64 y (exp.f64 y)))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (exp.f64 y) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (exp.f64 y) y)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 4) (*.f64 y (exp.f64 y)))) (*.f64 1/2 (/.f64 1 (*.f64 y (exp.f64 y)))))))
(-.f64 (fma.f64 1/4 (/.f64 (/.f64 (*.f64 x x) y) (exp.f64 y)) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (/.f64 y (exp.f64 y))) (*.f64 1/2 (/.f64 (exp.f64 y) y)))) (fma.f64 1/4 (/.f64 (*.f64 x x) (/.f64 y (exp.f64 y))) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (*.f64 y (exp.f64 y))) (/.f64 1/2 (*.f64 y (exp.f64 y))))))
(-.f64 (fma.f64 1/4 (*.f64 (/.f64 x y) (/.f64 x (exp.f64 y))) (fma.f64 1/2 (/.f64 (exp.f64 y) y) (*.f64 1/48 (*.f64 (/.f64 (exp.f64 y) y) (pow.f64 x 4))))) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (exp.f64 y) x) x) y) (fma.f64 1/48 (/.f64 (/.f64 (pow.f64 x 4) (exp.f64 y)) y) (/.f64 1/2 (*.f64 y (exp.f64 y))))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (*.f64 y (exp.f64 y))) (fma.f64 1/48 (*.f64 (exp.f64 y) (/.f64 (pow.f64 x 4) y)) (-.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (fma.f64 1/4 (*.f64 (exp.f64 y) (/.f64 (*.f64 x x) y)) (/.f64 (/.f64 1/48 (/.f64 (exp.f64 y) (pow.f64 x 4))) y)))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (*.f64 y (exp.f64 y))) (fma.f64 1/48 (*.f64 (exp.f64 y) (/.f64 (pow.f64 x 4) y)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 (exp.f64 y) (/.f64 (*.f64 x x) y)) -1/4 (/.f64 -1/48 (/.f64 y (/.f64 (pow.f64 x 4) (exp.f64 y))))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (*.f64 y (exp.f64 y)))) (+.f64 (*.f64 1/1440 (/.f64 (pow.f64 x 6) (*.f64 y (exp.f64 y)))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (exp.f64 y)) y)) (*.f64 1/2 (/.f64 (exp.f64 y) y))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 4) (*.f64 y (exp.f64 y)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 y (exp.f64 y)))) (*.f64 1/1440 (/.f64 (*.f64 (pow.f64 x 6) (exp.f64 y)) y))))))
(-.f64 (fma.f64 1/4 (/.f64 (/.f64 (*.f64 x x) y) (exp.f64 y)) (fma.f64 1/1440 (/.f64 (pow.f64 x 6) (*.f64 y (exp.f64 y))) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (/.f64 y (exp.f64 y))) (*.f64 1/2 (/.f64 (exp.f64 y) y))))) (fma.f64 1/4 (/.f64 (*.f64 x x) (/.f64 y (exp.f64 y))) (+.f64 (fma.f64 1/48 (/.f64 (pow.f64 x 4) (*.f64 y (exp.f64 y))) (/.f64 1/2 (*.f64 y (exp.f64 y)))) (*.f64 1/1440 (/.f64 (pow.f64 x 6) (/.f64 y (exp.f64 y)))))))
(-.f64 (fma.f64 1/4 (*.f64 (/.f64 x y) (/.f64 x (exp.f64 y))) (fma.f64 1/1440 (/.f64 (pow.f64 x 6) (*.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (exp.f64 y) y) (*.f64 1/48 (*.f64 (/.f64 (exp.f64 y) y) (pow.f64 x 4)))))) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (exp.f64 y) x) x) y) (fma.f64 1/48 (/.f64 (/.f64 (pow.f64 x 4) (exp.f64 y)) y) (fma.f64 1/1440 (*.f64 (/.f64 (pow.f64 x 6) y) (exp.f64 y)) (/.f64 1/2 (*.f64 y (exp.f64 y)))))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (*.f64 y (exp.f64 y))) (fma.f64 1/1440 (/.f64 (pow.f64 x 6) (*.f64 y (exp.f64 y))) (-.f64 (fma.f64 1/48 (*.f64 (exp.f64 y) (/.f64 (pow.f64 x 4) y)) (-.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (fma.f64 1/4 (*.f64 (exp.f64 y) (/.f64 (*.f64 x x) y)) (/.f64 (/.f64 1/48 (/.f64 (exp.f64 y) (pow.f64 x 4))) y)))) (*.f64 1/1440 (*.f64 (/.f64 (exp.f64 y) y) (pow.f64 x 6))))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (*.f64 y (exp.f64 y))) (fma.f64 1/1440 (/.f64 (pow.f64 x 6) (*.f64 y (exp.f64 y))) (+.f64 (fma.f64 1/48 (*.f64 (exp.f64 y) (/.f64 (pow.f64 x 4) y)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 (exp.f64 y) (/.f64 (*.f64 x x) y)) -1/4 (/.f64 -1/48 (/.f64 y (/.f64 (pow.f64 x 4) (exp.f64 y))))))) (/.f64 -1/1440 (/.f64 (/.f64 y (exp.f64 y)) (pow.f64 x 6))))))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y))))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))))
(fma.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)) (fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y))))))
(+.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) (*.f64 (cos.f64 x) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y)))) y)
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y)))) y)
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y)))) y)
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y)))) y)
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (exp.f64 y))) (*.f64 1/2 (*.f64 (cos.f64 x) (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (cos.f64 x)))
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 1/120 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))))
(+.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 1 (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))))
(/.f64 (-.f64 (*.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(/.f64 (-.f64 (*.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(/.f64 (-.f64 (*.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(/.f64 (-.f64 (*.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)

prune55.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh000
Picked011
Done000
Total84286
Error
0b
Counts
86 → 2
Alt Table
StatusErrorProgram
▶0.7b
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))
✓0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 1315 to 597 computations (54.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))
✓0.1b
(*.f64 (pow.f64 y 2) (cos.f64 x))
✓0.2b
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))

series8.0ms (0.2%)

Counts
3 → 15
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
1.0ms
x
@inf
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
1.0ms
x
@0
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
1.0ms
y
@inf
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
1.0ms
x
@-inf
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))

rewrite53.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
948×prod-diff_binary64
184×expm1-udef_binary64
184×log1p-udef_binary64
107×add-sqr-sqrt_binary64
103×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
121536
2267836
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
(*.f64 (pow.f64 y 2) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y (sqrt.f64 (cos.f64 x))) (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 (*.f64 y y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y y) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 y y) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 y y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y y) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 1/6 (*.f64 y y))))) (/.f64 (*.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)) 1/36) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 1/6 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)) 1/36)) (/.f64 1 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 1/6 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 1/6 (*.f64 y y)))) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)) 1/36) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)) 1/36)) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (-.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)) 1/36))) (neg.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 1/6 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2)) 1/36) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cos.f64 x)) 1/6 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6))) 2) (cbrt.f64 (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 (cos.f64 x))) (sqrt.f64 1/6)) (*.f64 (*.f64 y (sqrt.f64 (cos.f64 x))) (sqrt.f64 1/6)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 y y) (*.f64 (cos.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))))))))

simplify33.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
347×sub-neg_binary64
334×fma-def_binary64
301×distribute-rgt-neg-in_binary64
290×distribute-lft-neg-in_binary64
249×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054409
1170379
2637333
33232330
Stop Event
1×node limit
Counts
84 → 96
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 y 2))
(-.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/4320 (*.f64 (pow.f64 y 2) (pow.f64 x 6)))))
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 y 2) (*.f64 1/24 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 y 2) (*.f64 1/24 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/720 (*.f64 (pow.f64 y 2) (pow.f64 x 6)))))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/4320 (*.f64 (pow.f64 y 2) (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))))
(cos.f64 x)
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(-.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 -1/12 (*.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 1/6 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) -1/12))
(*.f64 (*.f64 y y) (-.f64 1/6 (*.f64 1/12 (*.f64 x x))))
(*.f64 (*.f64 y y) (+.f64 1/6 (*.f64 (*.f64 x x) -1/12)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 1/144 (*.f64 (*.f64 y y) (pow.f64 x 4)))) (*.f64 -1/12 (*.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/144 (*.f64 y (*.f64 y (pow.f64 x 4))) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) -1/12)))
(fma.f64 (*.f64 y y) (*.f64 1/144 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 1/6 (*.f64 1/12 (*.f64 x x)))))
(fma.f64 1/6 (*.f64 y y) (*.f64 (*.f64 y y) (+.f64 (*.f64 1/144 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/12))))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/4320 (*.f64 (pow.f64 y 2) (pow.f64 x 6)))))
(-.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 1/144 (*.f64 (*.f64 y y) (pow.f64 x 4)))) (fma.f64 1/12 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 1/4320 (*.f64 (*.f64 y y) (pow.f64 x 6)))))
(-.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 4) 1/144))) (fma.f64 1/12 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 6) 1/4320))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 1/6 (*.f64 1/144 (pow.f64 x 4)))) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 1/4320 (pow.f64 x 6)))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 1/6 (*.f64 1/144 (pow.f64 x 4)))) (*.f64 (*.f64 y y) (+.f64 (*.f64 (pow.f64 x 6) -1/4320) (*.f64 (*.f64 x x) -1/12))))
(pow.f64 y 2)
(*.f64 y y)
(-.f64 (pow.f64 y 2) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 y y (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) -1/2))
(*.f64 (+.f64 (*.f64 (*.f64 -1/2 x) x) 1) (*.f64 y y))
(*.f64 y (-.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/2))))
(-.f64 (+.f64 (pow.f64 y 2) (*.f64 1/24 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)) 1/24)) (*.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 y y (fma.f64 (*.f64 y (*.f64 y (pow.f64 x 4))) 1/24 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) -1/2)))
(fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/24) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (*.f64 y y) (+.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (*.f64 (*.f64 x x) -1/2)))
(-.f64 (+.f64 (pow.f64 y 2) (*.f64 1/24 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/720 (*.f64 (pow.f64 y 2) (pow.f64 x 6)))))
(-.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)) 1/24)) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 1/720 (*.f64 y y)) (pow.f64 x 6))))
(-.f64 (fma.f64 y y (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) 1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 6) 1/720))))
(-.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (*.f64 y y)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 6) 1/720))))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 (*.f64 1/6 (*.f64 y y)) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 1/6 y) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/6 (*.f64 y y)) (fma.f64 1/12 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) 1/2))))
(-.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (*.f64 y y) 1/12))))
(-.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) 1/12 1/2))))
(-.f64 (fma.f64 y (*.f64 1/6 y) 1) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) 1/12 1/2))))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 1/24 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 1/144 (*.f64 (*.f64 y y) (pow.f64 x 4)))) 1)) (fma.f64 1/12 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) 1/2)))
(-.f64 (+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 4) 1/144))) (fma.f64 (pow.f64 x 4) 1/24 1)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (*.f64 y y) 1/12))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 1/6 (*.f64 1/144 (pow.f64 x 4)))) (-.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) 1/12 1/2)))))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/4320 (*.f64 (pow.f64 y 2) (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))))
(-.f64 (fma.f64 1/24 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 1/144 (*.f64 (*.f64 y y) (pow.f64 x 4)))) 1)) (fma.f64 1/12 (*.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/4320 (*.f64 (*.f64 y y) (pow.f64 x 6)) (*.f64 (*.f64 x x) 1/2)))))
(-.f64 (+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 4) 1/144))) (fma.f64 (pow.f64 x 4) 1/24 1)) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 1/720 (*.f64 (*.f64 1/4320 y) y))) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (*.f64 y y) 1/12)))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (*.f64 y y) (+.f64 1/6 (*.f64 1/144 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 6) (+.f64 1/720 (*.f64 y (*.f64 y 1/4320))) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) 1/12 1/2))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 1/6 (*.f64 1/144 (pow.f64 x 4)))) (-.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (fma.f64 (pow.f64 x 6) (+.f64 1/720 (*.f64 y (*.f64 y 1/4320))) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) 1/12 1/2))))))
(cos.f64 x)
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 y y) (*.f64 1/6 (cos.f64 x)))
(*.f64 1/6 (*.f64 y (*.f64 y (cos.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 y y) (*.f64 1/6 (cos.f64 x)))
(*.f64 1/6 (*.f64 y (*.f64 y (cos.f64 x))))

prune66.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done011
Total96298
Error
0b
Counts
98 → 2
Alt Table
StatusErrorProgram
✓0.7b
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))
✓0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 1793 to 1031 computations (42.5% saved)

regimes65.0ms (1.4%)

Accuracy

Total 0.0b remaining (32.4%)

Threshold costs 0.0b (32.4%)

Counts
31 → 1
Compiler

Compiled 294 to 123 computations (58.2% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

end41.0ms (0.9%)

Stop Event
1×done
Compiler

Compiled 40 to 27 computations (32.5% saved)

Profiling

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