Details

Time bar (total: 6.7s)

analyze581.0ms (8.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%68.7%6.3%6
43.7%46.8%9.5%7
43.7%42.1%14.1%8
46.8%36.7%16.5%9
46.8%34%19.2%10
48.4%31%20.6%11
48.4%29.6%22%12
49.2%28%22.8%13
49.2%27.3%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.9s (73.2%)

Results
1.4s2009×body1024invalid
1.3s2088×body1024valid
763.0ms4581×body128valid
564.0ms1008×body512invalid
411.0ms1048×body512valid
165.0ms719×body128invalid
162.0ms499×body256invalid
142.0ms532×body256valid
10.0ms7×body2048valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess43.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 6 computations (33.3% saved)

simplify47.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.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 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓0.1b
(/.f64 (sin.f64 y) y)

series21.0ms (0.3%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
y
@inf
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
x
@inf
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
x
@-inf
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
x
@0
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite49.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114917
2203317
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 2 (cosh.f64 x))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 2 (cosh.f64 x))) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (sin.f64 y)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1) (*.f64 2 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))))

simplify35.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
083711
1242680
2737662
32959646
Stop Event
1×node limit
Counts
93 → 90
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
Outputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(+.f64 1 (*.f64 (*.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (-.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (*.f64 y y))))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (*.f64 (*.f64 y y) -1/6))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1))
(fma.f64 (*.f64 y y) -1/6 (fma.f64 1/120 (pow.f64 y 4) 1))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (fma.f64 1/120 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1)) (*.f64 1/5040 (pow.f64 y 6)))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 y (*.f64 y -1/6) (*.f64 (pow.f64 y 6) -1/5040)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 x 6) y) (sin.f64 y)) (*.f64 (/.f64 1/24 y) (*.f64 (sin.f64 y) (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 (*.f64 y y) (exp.f64 x) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(fma.f64 -1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))
(+.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 (*.f64 y y) (exp.f64 x) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))
(fma.f64 -1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 y (*.f64 y (exp.f64 x)))) (*.f64 (pow.f64 y 6) (*.f64 (exp.f64 x) 1/10080)))))
(-.f64 (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/12 (fma.f64 (*.f64 y y) (exp.f64 x) (*.f64 (/.f64 y (exp.f64 x)) y)) (*.f64 1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x))))))
(-.f64 (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/12 (*.f64 y (+.f64 (/.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)))) (*.f64 (pow.f64 y 6) (+.f64 (/.f64 1/10080 (exp.f64 x)) (*.f64 (exp.f64 x) 1/10080)))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))

prune89.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New84690
Fresh000
Picked011
Done000
Total84791
Error
0.0b
Counts
91 → 7
Alt Table
StatusErrorProgram
0.7b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
32.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
1.4b
(*.f64 (cosh.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))
0.2b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
19.4b
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶0.2b
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
Compiler

Compiled 1466 to 706 computations (51.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
✓0.1b
(pow.f64 (/.f64 y (sin.f64 y)) -1)
✓0.2b
(/.f64 y (sin.f64 y))

series5.0ms (0.1%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(pow.f64 (/.f64 y (sin.f64 y)) -1)
1.0ms
y
@-inf
(pow.f64 (/.f64 y (sin.f64 y)) -1)
1.0ms
y
@-inf
(/.f64 y (sin.f64 y))
1.0ms
y
@inf
(/.f64 y (sin.f64 y))
1.0ms
y
@0
(/.f64 y (sin.f64 y))

rewrite53.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
118823
2238523
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2)) (cbrt.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 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (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 (/.f64 (sin.f64 y) 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 neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)) (cbrt.f64 (/.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 y -1) (pow.f64 (/.f64 1 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1))))) (#(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)) (/.f64 (cbrt.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 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.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 1 (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 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 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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 y (sin.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 1 y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))) (cbrt.f64 (/.f64 y (sin.f64 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 sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) 2))))) (#(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)) (/.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 pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))))

simplify42.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
093811
1266778
2801758
33179757
Stop Event
1×node limit
Counts
136 → 126
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 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 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 7/360 (pow.f64 y 4))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) (*.f64 31/15120 (pow.f64 y 6)))))
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(+.f64 1 (*.f64 (*.f64 y y) -1/6))
(fma.f64 (*.f64 y -1/6) y 1)
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (-.f64 (*.f64 (pow.f64 y 4) 1/120) (*.f64 1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/120 (*.f64 (*.f64 y y) -1/6)))
(fma.f64 (pow.f64 y 4) 1/120 (fma.f64 (*.f64 y -1/6) y 1))
(fma.f64 (*.f64 y y) -1/6 (fma.f64 (pow.f64 y 4) 1/120 1))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(+.f64 1 (-.f64 (*.f64 (pow.f64 y 4) 1/120) (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/5040))))
(-.f64 (fma.f64 (pow.f64 y 4) 1/120 1) (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/5040)))
(+.f64 (fma.f64 (pow.f64 y 4) 1/120 1) (fma.f64 (*.f64 y y) -1/6 (*.f64 (pow.f64 y 6) -1/5040)))
(+.f64 (fma.f64 (pow.f64 y 4) 1/120 1) (fma.f64 y (*.f64 y -1/6) (*.f64 (pow.f64 y 6) -1/5040)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 x 6) y) (sin.f64 y)) (/.f64 (*.f64 (sin.f64 y) (*.f64 1/24 (pow.f64 x 4))) y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 y (*.f64 y (exp.f64 x))))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 y (*.f64 y (exp.f64 x)))) (*.f64 (pow.f64 y 6) (*.f64 (exp.f64 x) 1/10080)))))
(-.f64 (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (*.f64 1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x))))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (fma.f64 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) -1/12 (*.f64 -1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))

prune141.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh145
Picked011
Done011
Total1267133
Error
0.0b
Counts
133 → 7
Alt Table
StatusErrorProgram
0.7b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
32.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
0.3b
(*.f64 (cosh.f64 x) (pow.f64 (*.f64 y (/.f64 1 (sin.f64 y))) -1))
▶0.2b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
19.4b
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓0.2b
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
Compiler

Compiled 2030 to 987 computations (51.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
✓0.2b
(*.f64 (sin.f64 y) (/.f64 1 y))

series17.0ms (0.3%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
15.0ms
y
@inf
(*.f64 (sin.f64 y) (/.f64 1 y))
0.0ms
y
@0
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
0.0ms
y
@0
(*.f64 (sin.f64 y) (/.f64 1 y))
0.0ms
y
@-inf
(*.f64 (sin.f64 y) (/.f64 1 y))
0.0ms
x
@0
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))

rewrite55.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify38.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

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

prune67.0ms (1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done022
Total72779
Error
0.0b
Counts
79 → 7
Alt Table
StatusErrorProgram
0.7b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
32.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
▶0.3b
(*.f64 (cosh.f64 x) (pow.f64 (*.f64 y (/.f64 1 (sin.f64 y))) -1))
✓0.2b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
19.4b
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓0.2b
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
Compiler

Compiled 1201 to 610 computations (49.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cosh.f64 x) (pow.f64 (*.f64 y (/.f64 1 (sin.f64 y))) -1))
✓0.1b
(/.f64 1 (sin.f64 y))
✓0.1b
(pow.f64 (*.f64 y (/.f64 1 (sin.f64 y))) -1)
✓0.2b
(*.f64 y (/.f64 1 (sin.f64 y)))

series5.0ms (0.1%)

Counts
4 → 52
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 1 (sin.f64 y))
0.0ms
y
@0
(/.f64 1 (sin.f64 y))
0.0ms
y
@inf
(/.f64 1 (sin.f64 y))
0.0ms
y
@0
(*.f64 (cosh.f64 x) (pow.f64 (*.f64 y (/.f64 1 (sin.f64 y))) -1))
0.0ms
y
@0
(*.f64 y (/.f64 1 (sin.f64 y)))

rewrite58.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
528×log-prod_binary64
195×pow1/3_binary64
189×expm1-udef_binary64
189×log1p-udef_binary64
179×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01135
122629
2271329
Stop Event
1×node limit
Counts
4 → 111
Calls
Call 1
Inputs
(*.f64 y (/.f64 1 (sin.f64 y)))
(pow.f64 (*.f64 y (/.f64 1 (sin.f64 y))) -1)
(/.f64 1 (sin.f64 y))
(*.f64 (cosh.f64 x) (pow.f64 (*.f64 y (/.f64 1 (sin.f64 y))) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (sin.f64 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 y) 2) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (neg.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 (/.f64 (sin.f64 y) 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 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (sin.f64 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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)) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 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 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.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 (sin.f64 y) 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 (/.f64 1 y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (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 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y))) (cbrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) 2))))) (#(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)) (/.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 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 pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))))

simplify53.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
528×times-frac_binary64
465×fma-neg_binary64
435×fma-def_binary64
298×sub-neg_binary64
207×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0108914
1305879
2900857
33608856
Stop Event
1×node limit
Counts
163 → 148
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 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (+.f64 (*.f64 7/360 (pow.f64 y 3)) (*.f64 31/15120 (pow.f64 y 5)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(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 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 7/360 (pow.f64 y 4))))
(fma.f64 7/360 (pow.f64 y 4) (fma.f64 y (*.f64 1/6 y) 1))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) (*.f64 31/15120 (pow.f64 y 6)))))
(+.f64 (fma.f64 y (*.f64 1/6 y) 1) (fma.f64 7/360 (pow.f64 y 4) (*.f64 31/15120 (pow.f64 y 6))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(+.f64 1 (*.f64 (*.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (-.f64 (*.f64 (pow.f64 y 4) 1/120) (*.f64 1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/120 (*.f64 (*.f64 y y) -1/6)))
(fma.f64 (*.f64 y y) -1/6 (fma.f64 (pow.f64 y 4) 1/120 1))
(-.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 y 4) 1/120)) (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/5040)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/120 1) (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/5040)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/120 (fma.f64 (*.f64 y -1/6) y (*.f64 (pow.f64 y 6) -1/5040))))
(+.f64 1 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) (*.f64 (pow.f64 y 6) -1/5040)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(fma.f64 1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))))
(fma.f64 7/360 (pow.f64 y 3) (fma.f64 1/6 y (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (+.f64 (*.f64 7/360 (pow.f64 y 3)) (*.f64 31/15120 (pow.f64 y 5)))))
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(/.f64 (sin.f64 y) y)
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(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y))
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(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (*.f64 1/720 (*.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 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (pow.f64 x 6)) 1/720)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) y))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 (*.f64 y y) (exp.f64 x)))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))
(+.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (*.f64 -1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 (*.f64 y y) (exp.f64 x)))))
(fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 x))) (+.f64 (*.f64 1/2 (exp.f64 x)) (+.f64 (*.f64 1/240 (*.f64 (exp.f64 x) (pow.f64 y 4))) (*.f64 1/240 (/.f64 (pow.f64 y 4) (exp.f64 x)))))) (+.f64 (*.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 y 2) (exp.f64 x))) (*.f64 1/12 (*.f64 (pow.f64 y 2) (exp.f64 x)))))))
(+.f64 (/.f64 1/2 (exp.f64 x)) (-.f64 (fma.f64 1/2 (exp.f64 x) (*.f64 1/240 (+.f64 (*.f64 (pow.f64 y 4) (exp.f64 x)) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/10080 (*.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 1/12 (+.f64 (/.f64 (*.f64 y y) (exp.f64 x)) (*.f64 (*.f64 y y) (exp.f64 x))))))))
(-.f64 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))))) (fma.f64 1/10080 (/.f64 (pow.f64 y 6) (exp.f64 x)) (fma.f64 1/12 (+.f64 (/.f64 y (/.f64 (exp.f64 x) y)) (*.f64 (*.f64 y y) (exp.f64 x))) (*.f64 (pow.f64 y 6) (*.f64 (exp.f64 x) 1/10080)))))
(+.f64 (*.f64 -1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x)))) (fma.f64 -1/12 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) (fma.f64 1/2 (exp.f64 x) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (/.f64 1/2 (exp.f64 x))))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 1/240 (fma.f64 (pow.f64 y 4) (exp.f64 x) (/.f64 (pow.f64 y 4) (exp.f64 x))) (fma.f64 (fma.f64 y (*.f64 y (exp.f64 x)) (*.f64 (/.f64 y (exp.f64 x)) y)) -1/12 (*.f64 -1/10080 (+.f64 (/.f64 (pow.f64 y 6) (exp.f64 x)) (*.f64 (pow.f64 y 6) (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) y)
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))

prune154.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1471148
Fresh033
Picked011
Done123
Total1487155
Error
0.0b
Counts
155 → 7
Alt Table
StatusErrorProgram
0.7b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
32.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
✓0.3b
(*.f64 (cosh.f64 x) (pow.f64 (*.f64 y (/.f64 1 (sin.f64 y))) -1))
✓0.2b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
0.6b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
19.4b
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
Compiler

Compiled 2339 to 1203 computations (48.6% saved)

regimes110.0ms (1.6%)

Accuracy

Total 0.1b remaining (71%)

Threshold costs 0.1b (71%)

Counts
43 → 1
Compiler

Compiled 496 to 209 computations (57.9% 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 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

end110.0ms (1.6%)

Stop Event
1×fuel
Compiler

Compiled 120 to 84 computations (30% saved)

Profiling

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