Details

Time bar (total: 8.6s)

analyze148.0ms (1.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
48.3%43.7%46.8%0.1%9.4%0%0%7
52.6%46.8%42.1%0.1%10.9%0%0%8
56.1%46.8%36.7%0.1%16.4%0%0%9
58.8%48.4%34%0.1%17.6%0%0%10
60.9%48.4%31%0.1%20.5%0%0%11
62.5%49.2%29.6%0.1%21.2%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample3.3s (38%)

Results
1.2s6918×body256valid
913.0ms2077×body1024infinite
336.0ms607×body1024valid
303.0ms1002×body512infinite
284.0ms1602×body256infinite
212.0ms731×body512valid
Bogosity

preprocess68.0ms (0.8%)

Algorithm
egg-herbie
Rules
1416×associate-/r*
1204×associate-*l/
1180×fma-def
916×*-commutative
780×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
13042
26942
314642
433342
582342
6272342
7694342
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y)
Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y)
(/.f64 (sin.f64 y) (/.f64 y (sinh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify57.0ms (0.7%)

Algorithm
egg-herbie
Rules
1366×associate-*r*
1204×fma-neg
980×associate-/l*
772×associate-*l*
768×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11821
23921
37921
417521
542321
6138321
7570821
Stop Event
node limit
Counts
1 → 7
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

eval1.0ms (0%)

Compiler

Compiled 51 to 16 computations (68.6% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New347
Fresh011
Picked000
Done000
Total358
Error
0.0b
Counts
8 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
14.1b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
0.1b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
0.1b
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.1%)

Counts
3 → 40
Calls

12 calls:

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

rewrite101.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1204×associate-*r/
936×*-commutative
838×associate-*l/
834×associate-/r*
700×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0937
118737
2247637
Stop Event
node limit
Counts
3 → 223
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(sinh.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (sinh.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 y)))))))

simplify133.0ms (1.5%)

Algorithm
egg-herbie
Rules
1042×associate-*r*
1034×times-frac
1022×associate-*l*
854×associate-/l/
764×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05907603
115317353
Stop Event
node limit
Counts
263 → 343
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sin.f64 x) (/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 1 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (*.f64 (sinh.f64 y) 2)))
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 x 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) 2) (*.f64 (sinh.f64 y) 2)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (+.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x (sin.f64 x)) 1/2))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) 1))
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (+.f64 x x))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (sin.f64 x))) 2)
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sin.f64 x))) (/.f64 x (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (*.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) 2)) (*.f64 (neg.f64 x) 2))
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 -2 (sinh.f64 y))) -2)
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) 1)) x)
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 (sinh.f64 y) -1) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (sin.f64 x)))) 2)
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) (+.f64 x x))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) (sqrt.f64 x))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)))) (cbrt.f64 x))
(/.f64 (*.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) 2))) (*.f64 (neg.f64 x) 2))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) -1) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) 1) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) 1) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y)) x)
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sinh.f64 y)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (sinh.f64 y)) (cbrt.f64 x))
(/.f64 (*.f64 -1 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) -2)
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (sin.f64 x))) 1) 2)
(/.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) (+.f64 x x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) 1) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) 2)) 1) (*.f64 (neg.f64 x) 2))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) (sqrt.f64 x))
(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1 x)) 2)
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sinh.f64 y) 1) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (cbrt.f64 (/.f64 x (sin.f64 x))))) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y)))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 (sinh.f64 y) 2) 1/2)
(*.f64 1/2 (*.f64 (sinh.f64 y) 2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(/.f64 2 (/.f64 2 (sinh.f64 y)))
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (*.f64 (sinh.f64 y) 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (*.f64 (sinh.f64 y) 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (*.f64 -2 (sinh.f64 y)) -2)
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) 1) -2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (*.f64 (sinh.f64 y) 2) 1/2)
(sinh.f64 y)
(*.f64 1/2 (*.f64 (sinh.f64 y) 2))
(sinh.f64 y)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(sinh.f64 y)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(sinh.f64 y)
(/.f64 2 (/.f64 2 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (*.f64 (sinh.f64 y) 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (*.f64 (sinh.f64 y) 2))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) 2))
(/.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (fma.f64 2 (exp.f64 y) (/.f64 2 (exp.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 2) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y))))))
(/.f64 (*.f64 -2 (sinh.f64 y)) -2)
(sinh.f64 y)
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) 1) -2)
(sinh.f64 y)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y))))) 1/2)
(pow.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(sinh.f64 y)
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(fabs.f64 (sinh.f64 y))
(log.f64 (exp.f64 (sinh.f64 y)))
(sinh.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(sinh.f64 y)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite93.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1116×associate-*r/
936×*-commutative
864×associate-/r*
836×associate-*l/
692×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
118732
2246632
Stop Event
node limit
Counts
2 → 164
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> 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y) x)))))))

simplify113.0ms (1.3%)

Algorithm
egg-herbie
Rules
936×associate-/l*
692×distribute-rgt-in
690×distribute-lft-in
602×associate-/l/
586×distribute-frac-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04626382
111796268
248516192
Stop Event
node limit
Counts
212 → 274
Calls
Call 1
Inputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))
(+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 1)
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 x 1))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x (sin.f64 x)) 1/2))
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x (sin.f64 x)) 2))
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 x (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 x (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (+.f64 x x))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 x))
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) 2) x)) 2)
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 (sin.f64 x) -1) (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x)))) (sqrt.f64 x))
(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)))) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) -1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (sin.f64 x)) (cbrt.f64 x))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 1 (sinh.f64 y)))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)) 2)
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) -2)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) (sin.f64 x)) 2)
(/.f64 (*.f64 -1 (sin.f64 x)) (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) 1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) 1) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) (sqrt.f64 x))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (pow.f64 x -1)) 2)
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (cbrt.f64 (/.f64 x (sinh.f64 y))))) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) -1) x)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) 1)
(*.f64 (sinh.f64 y) (pow.f64 x -1))
(*.f64 (/.f64 (sinh.f64 y) x) 1)
(*.f64 1 (/.f64 (sinh.f64 y) x))
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) x))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 (sinh.f64 y)) x))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (pow.f64 x -1) (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (/.f64 (sqrt.f64 (sinh.f64 y)) 1))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))
(pow.f64 (/.f64 (sinh.f64 y) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3)
(pow.f64 (/.f64 x (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) x)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x)))
Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (*.f64 (/.f64 y x) (sin.f64 x))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x))))
(/.f64 (sinh.f64 y) x)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))))
(/.f64 (sinh.f64 y) x)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))
(pow.f64 (/.f64 (sinh.f64 y) x) 1)
(/.f64 (sinh.f64 y) x)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)
(/.f64 (sinh.f64 y) x)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3)
(/.f64 (sinh.f64 y) x)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3)
(/.f64 (sinh.f64 y) x)
(pow.f64 (/.f64 x (sinh.f64 y)) -1)
(/.f64 (sinh.f64 y) x)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (sinh.f64 y) x)
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x))
(/.f64 (sinh.f64 y) x)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1))
(/.f64 (sinh.f64 y) x)
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x)))
(/.f64 (sinh.f64 y) x)
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x))))
(/.f64 (sinh.f64 y) x)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2))
(fabs.f64 (/.f64 (sinh.f64 y) x))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) x)))
(/.f64 (sinh.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x))))
(/.f64 (sinh.f64 y) x)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3))
(/.f64 (sinh.f64 y) x)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x)))
(/.f64 (sinh.f64 y) x)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) x)))
(/.f64 (sinh.f64 y) x)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x)))
(/.f64 (sinh.f64 y) x)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite100.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1612×associate-*r/
1556×associate-/l*
1116×associate-*l/
1024×*-commutative
498×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119332
2270832
Stop Event
node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 x (sin.f64 x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 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simplify118.0ms (1.4%)

Algorithm
egg-herbie
Rules
884×distribute-rgt-in
878×distribute-lft-in
700×distribute-lft-neg-out
690×distribute-rgt-neg-out
454×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03224153
18554071
238433995
Stop Event
node limit
Counts
151 → 184
Calls
Call 1
Inputs
1
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(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) -1) (neg.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (/.f64 (sin.f64 x) 1))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6))))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (*.f64 (/.f64 y x) (sin.f64 x))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x)))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x 4))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/10080 (*.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (*.f64 x x) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 6) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/10080)))))
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (pow.f64 x 6) -1/10080))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)
(/.f64 x (sin.f64 x))
(*.f64 x (/.f64 1 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(*.f64 1 (/.f64 x (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(/.f64 x (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(/.f64 x (sin.f64 x))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (/.f64 (sin.f64 x) 1))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (sinh.f64 y) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
14.1b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1278×associate-/r*
1174×associate-/l*
1048×associate-*r/
956×*-commutative
740×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
118736
2251936
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))))

simplify85.0ms (1%)

Algorithm
egg-herbie
Rules
1380×associate-/r*
1220×associate-/r/
908×distribute-rgt-in
908×distribute-lft-in
430×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03124960
17994820
231024652
Stop Event
node limit
Counts
150 → 189
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
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(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))
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(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y)))
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(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) x) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) 1))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y))))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1)
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)
(/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2)
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2)
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2)
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (*.f64 x x) -1/12))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))))
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (pow.f64 x 6) -1/10080))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (/.f64 (sin.f64 x) x) y))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (*.f64 (/.f64 (sin.f64 x) x) y)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (fma.f64 1/5040 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (/.f64 (sin.f64 x) x) y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 1/2 x))
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(fma.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 3) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5)) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) x) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) 1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 -1 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y))))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(/.f64 (sin.f64 x) (/.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3)
(*.f64 (sin.f64 x) (sinh.f64 y))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))
(*.f64 (sin.f64 x) (sinh.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))

eval285.0ms (3.3%)

Compiler

Compiled 19254 to 6709 computations (65.2% saved)

prune367.0ms (4.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New119071197
Fresh000
Picked011
Done213
Total119291201
Error
0b
Counts
1201 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
14.1b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
14.6b
(/.f64 (*.f64 (sin.f64 x) y) x)
32.6b
(/.f64 (sinh.f64 y) 1)
0.6b
(/.f64 y (/.f64 x (sin.f64 x)))
0.1b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
0.6b
(*.f64 (/.f64 (sin.f64 x) x) y)
0.6b
(*.f64 (/.f64 y x) (sin.f64 x))
33.9b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
Compiler

Compiled 140 to 96 computations (31.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.0b
(/.f64 (sinh.f64 y) x)
0.1b
(/.f64 1 (sin.f64 x))
0.2b
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite75.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
936×associate-/r/
922×unswap-sqr
896×associate-/l/
774×swap-sqr
444×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
123432
2324532
Stop Event
node limit
Counts
2 → 114
Calls
Call 1
Inputs
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
Outputs
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simplify99.0ms (1.2%)

Algorithm
egg-herbie
Rules
1276×associate-/r/
666×distribute-rgt-in
660×distribute-lft-in
470×*-commutative
432×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03414452
19174346
233284252
Stop Event
node limit
Counts
142 → 193
Calls
Call 1
Inputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) 1)
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 x) (sin.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 1 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 1)
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 -1 (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (/.f64 (sinh.f64 y) x) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 (sinh.f64 y)) x))
(*.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) -1/2) x)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 1) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) (pow.f64 (sin.f64 x) -1/2)) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (sin.f64 x))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x 1)) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) x)) 1) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) x)) -1) (cbrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))))
(pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x) -1)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x))))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x)))))
(neg.f64 (*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x))) 1))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x))) 1))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x)))))
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) -1)
(*.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 -1 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x)))) (sqrt.f64 (/.f64 -1 (sin.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3)
(pow.f64 (sin.f64 x) -1)
(neg.f64 (/.f64 -1 (sin.f64 x)))
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (/.f64 y x) (sin.f64 x)))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (/.f64 (sin.f64 x) x) y))
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(/.f64 (*.f64 1 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 -1 (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x)))) (sqrt.f64 (/.f64 -1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) -1/2) (sqrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))))))
(/.f64 1 (sin.f64 x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(/.f64 1 (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 3)
(/.f64 1 (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3)
(/.f64 1 (sin.f64 x))
(pow.f64 (sin.f64 x) -1)
(/.f64 1 (sin.f64 x))
(neg.f64 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(/.f64 1 (sin.f64 x))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3))
(/.f64 1 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(/.f64 1 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 5 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1740×add-sqr-sqrt
1728×*-un-lft-identity
1602×add-cube-cbrt
1576×add-cbrt-cube
170×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116317
2212017
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))))

simplify54.0ms (0.6%)

Algorithm
egg-herbie
Rules
1254×associate-*r*
1098×associate-*l*
644×associate-+r+
568×associate-+l+
454×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079867
1189855
2670855
34727855
Stop Event
node limit
Counts
47 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1)
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x)
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x))
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)
(fma.f64 y (*.f64 x (*.f64 x -1/6)) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))))
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y)))
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (/.f64 x y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite56.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1740×add-sqr-sqrt
1728×*-un-lft-identity
1602×add-cube-cbrt
1576×add-cbrt-cube
170×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116317
2212017
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))))

simplify56.0ms (0.7%)

Algorithm
egg-herbie
Rules
1330×associate-*r*
1224×associate-*l*
748×associate-+r+
680×associate-+l+
456×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081867
1190855
2692855
35005855
Stop Event
node limit
Counts
47 → 42
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1)
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
Outputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)
(fma.f64 y (*.f64 x (*.f64 x -1/6)) y)
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))
(fma.f64 y (*.f64 x (*.f64 x -1/6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))))
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)))
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (sin.f64 x) (/.f64 x y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 x) y) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite62.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1936×add-sqr-sqrt
1924×*-un-lft-identity
1792×add-cube-cbrt
1766×add-cbrt-cube
178×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116917
2236117
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 y (/.f64 x (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))))

simplify64.0ms (0.8%)

Algorithm
egg-herbie
Rules
1400×associate-*r/
950×associate-*l/
804×associate-/l*
788×associate-+l-
714×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01311368
13431332
213231332
363931332
Stop Event
node limit
Counts
66 → 62
Calls
Call 1
Inputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x))
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y))
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))))
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)))
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))

eval148.0ms (1.7%)

Compiler

Compiled 10210 to 4386 computations (57% saved)

prune121.0ms (1.4%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New6716677
Fresh022
Picked011
Done156
Total67214686
Error
0b
Counts
686 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
15.7b
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
0.7b
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
14.1b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
14.6b
(/.f64 (*.f64 (sin.f64 x) y) x)
32.6b
(/.f64 (sinh.f64 y) 1)
0.6b
(/.f64 y (/.f64 x (sin.f64 x)))
34.1b
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
34.1b
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
0.1b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
0.6b
(*.f64 (/.f64 (sin.f64 x) x) y)
0.6b
(*.f64 (/.f64 y x) (sin.f64 x))
33.9b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
34.1b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
32.7b
y
Compiler

Compiled 205 to 140 computations (31.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 x))
0.2b
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite67.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1046×*-commutative
786×unswap-sqr
716×associate-/r/
630×swap-sqr
620×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121017
2290117
Stop Event
node limit
Counts
1 → 84
Calls
Call 1
Inputs
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
Outputs
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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 x 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) 1) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (sin.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1 (/.f64 (/.f64 x (sin.f64 x)) y)) -1/2) (pow.f64 (*.f64 1 (/.f64 (/.f64 x (sin.f64 x)) y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1 (/.f64 (/.f64 x (sin.f64 x)) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (/.f64 1 (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))))

simplify86.0ms (1%)

Algorithm
egg-herbie
Rules
1456×times-frac
1120×associate-/r*
788×associate-/l/
754×*-commutative
754×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02302512
16282376
220522376
379932376
Stop Event
node limit
Counts
108 → 110
Calls
Call 1
Inputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1)
(*.f64 y (*.f64 (/.f64 1 x) (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 1 (*.f64 (/.f64 y x) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) (sin.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 -1 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (sin.f64 x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (/.f64 y x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 y 1) (*.f64 (/.f64 1 x) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 y 1) (sin.f64 x)) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 y x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) -2))))
(*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) y)
(*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (/.f64 y 1))
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 y (pow.f64 (sin.f64 x) -1/2)) (/.f64 (/.f64 1 x) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (sin.f64 x) -1/2)) (/.f64 y (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 (sin.f64 x))) (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 x) -2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y x)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (sin.f64 x) -1/2)) (/.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (sin.f64 x) -1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 y x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 y (sin.f64 x)))) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (sin.f64 x)))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x 1)) y)
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) 1) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (sin.f64 x) -2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6))
(*.f64 (pow.f64 (*.f64 1 (/.f64 (/.f64 x (sin.f64 x)) y)) -1/2) (pow.f64 (*.f64 1 (/.f64 (/.f64 x (sin.f64 x)) y)) -1/2))
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 1 (/.f64 (/.f64 x (sin.f64 x)) y)) -1)
(neg.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))))
(neg.f64 (*.f64 1 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x)))))
(neg.f64 (*.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))) 1))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 y (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))) 1))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (/.f64 1 (pow.f64 (sin.f64 x) 3))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y))
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
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(neg.f64 (/.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (/.f64 1 (pow.f64 (sin.f64 x) 3))))
(*.f64 (sin.f64 x) (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/6 (*.f64 x x))
7.4b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
Compiler

Compiled 30 to 16 computations (46.7% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
1.0ms
y
@0
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
0.0ms
x
@inf
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
0.0ms
y
@inf
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
0.0ms
y
@-inf
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)

rewrite64.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1960×add-sqr-sqrt
1932×*-un-lft-identity
1808×add-cube-cbrt
1790×add-cbrt-cube
194×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
120434
2249834
Stop Event
node limit
Counts
2 → 34
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(*.f64 -1/6 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 -1/6 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 1 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) y) (+.f64 1 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) y) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x))))))))

simplify81.0ms (0.9%)

Algorithm
egg-herbie
Rules
1134×associate-*r*
1010×associate-*l*
674×log-prod
600×associate-+r+
590×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981422
12351382
26901366
336621366
471481366
Stop Event
node limit
Counts
70 → 58
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x))))
(+.f64 y (*.f64 (*.f64 -1/6 (*.f64 x x)) y))
(+.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)
(+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) y) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) 1)
(/.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 1 (*.f64 1/6 (*.f64 x x))))
(/.f64 (*.f64 y (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) y) (+.f64 1 (*.f64 1/6 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) y) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))
(pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 1)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(pow.f64 (*.f64 -1/6 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x))))
Outputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 (*.f64 -1/6 x) x))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 (*.f64 -1/6 x) x))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 y (*.f64 (*.f64 -1/6 (*.f64 x x)) y))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) y) y)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) 1)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(/.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 1 (*.f64 1/6 (*.f64 x x))))
(/.f64 y (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 x) x)) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))))
(/.f64 y (/.f64 (fma.f64 (*.f64 x x) 1/6 1) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))))
(/.f64 y (/.f64 (fma.f64 x (*.f64 x 1/6) 1) (fma.f64 (pow.f64 x 4) -1/36 1)))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (*.f64 x 1/6) 1)))
(/.f64 (*.f64 y (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))
(/.f64 y (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (*.f64 1/6 x) x))) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))))
(*.f64 (/.f64 y (+.f64 1 (fma.f64 (*.f64 x x) 1/6 (*.f64 (pow.f64 x 4) 1/36)))) (fma.f64 (pow.f64 x 6) -1/216 1))
(/.f64 (fma.f64 (pow.f64 x 6) (*.f64 y -1/216) y) (fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 1/36 1)))
(/.f64 (fma.f64 y (*.f64 (pow.f64 x 6) -1/216) y) (fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 1/36 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) y) (+.f64 1 (*.f64 1/6 (*.f64 x x))))
(/.f64 y (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 x) x)) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))))
(/.f64 y (/.f64 (fma.f64 (*.f64 x x) 1/6 1) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))))
(/.f64 y (/.f64 (fma.f64 x (*.f64 x 1/6) 1) (fma.f64 (pow.f64 x 4) -1/36 1)))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (*.f64 x 1/6) 1)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) y) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))
(/.f64 y (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (*.f64 1/6 x) x))) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))))
(*.f64 (/.f64 y (+.f64 1 (fma.f64 (*.f64 x x) 1/6 (*.f64 (pow.f64 x 4) 1/36)))) (fma.f64 (pow.f64 x 6) -1/216 1))
(/.f64 (fma.f64 (pow.f64 x 6) (*.f64 y -1/216) y) (fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 1/36 1)))
(/.f64 (fma.f64 y (*.f64 (pow.f64 x 6) -1/216) y) (fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 1/36 1)))
(pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 1)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 2)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 3)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3) 1/3)
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 2))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 1)) y))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 1))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y)
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 y (*.f64 -1/6 x)) x y)
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(pow.f64 (*.f64 -1/6 (*.f64 x x)) 1)
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3)
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/216))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/6))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x))))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))) 1))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x))))
(*.f64 (*.f64 -1/6 x) x)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
7.4b
(*.f64 y (*.f64 x x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
0.0ms
y
@0
(*.f64 y (*.f64 x x))
0.0ms
y
@inf
(*.f64 y (*.f64 x x))
0.0ms
x
@inf
(*.f64 y (*.f64 x x))
0.0ms
y
@-inf
(*.f64 -1/6 (*.f64 y (*.f64 x x)))

rewrite57.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1512×add-sqr-sqrt
1490×*-un-lft-identity
1388×add-cube-cbrt
1370×add-cbrt-cube
1356×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
116332
2195532
Stop Event
node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 y (*.f64 x x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) y) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))))))

simplify69.0ms (0.8%)

Algorithm
egg-herbie
Rules
1302×fma-def
1136×distribute-rgt-out
970×log-prod
532×unswap-sqr
458×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0691152
11731152
27251152
322691152
449191152
Stop Event
node limit
Counts
72 → 31
Calls
Call 1
Inputs
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 y (*.f64 x x))) 1)
(pow.f64 (*.f64 y (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1)
(pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) y) -1/6))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))
(exp.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))
Outputs
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(-.f64 (+.f64 1 (*.f64 y (*.f64 x x))) 1)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(pow.f64 (*.f64 y (*.f64 x x)) 1)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 3)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3) 1/3)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(sqrt.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) y))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x x))))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(exp.f64 (log.f64 (*.f64 y (*.f64 x x))))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x x))) 1))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x x))))
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(-.f64 (+.f64 1 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1)
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 1)
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2)
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 3)
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3) 1/3)
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)) 1/36))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) y) -1/6))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 y (*.f64 x (*.f64 x -1/6)))
(*.f64 -1/6 (*.f64 x (*.f64 y x)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(*.f64 -1/6 y)
7.4b
(*.f64 (*.f64 -1/6 y) (*.f64 x x))
Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 -1/6 y)
0.0ms
y
@-inf
(*.f64 -1/6 y)
0.0ms
y
@inf
(*.f64 -1/6 y)
0.0ms
y
@0
(*.f64 (*.f64 -1/6 y) (*.f64 x x))
0.0ms
y
@inf
(*.f64 (*.f64 -1/6 y) (*.f64 x x))

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1514×add-sqr-sqrt
1492×*-un-lft-identity
1390×add-cube-cbrt
1370×add-cbrt-cube
1356×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
116326
2195926
Stop Event
node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 (*.f64 -1/6 y) (*.f64 x x))
(*.f64 -1/6 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 y)))))))

simplify47.0ms (0.5%)

Algorithm
egg-herbie
Rules
1308×distribute-lft-in
1296×distribute-rgt-in
1248×associate-+l+
1218×associate-+r+
734×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067922
1168850
2684776
32419772
Stop Event
node limit
Counts
48 → 32
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)
(pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) y) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1)
(pow.f64 (*.f64 -1/6 y) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 -1/6) y))
(cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 y)))
(exp.f64 (log.f64 (*.f64 -1/6 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 y)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 y)))
Outputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 1)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 3)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3) 1/3)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 x 4)))
(sqrt.f64 (*.f64 1/36 (*.f64 (*.f64 y y) (pow.f64 x 4))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4))
(fabs.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) y) (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1)
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(pow.f64 (*.f64 -1/6 y) 1)
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(sqrt.f64 (*.f64 1/36 (*.f64 y y)))
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(log.f64 (pow.f64 (exp.f64 -1/6) y))
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3))
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(expm1.f64 (log1p.f64 (*.f64 -1/6 y)))
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(exp.f64 (log.f64 (*.f64 -1/6 y)))
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 y)) 1))
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(log1p.f64 (expm1.f64 (*.f64 -1/6 y)))
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1)
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 x) y)
14.1b
(/.f64 (*.f64 (sin.f64 x) y) x)
Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite65.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1800×add-sqr-sqrt
1788×*-un-lft-identity
1662×add-cube-cbrt
1636×add-cbrt-cube
170×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116328
2217828
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) y) x)
(*.f64 (sin.f64 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (sin.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y)))))))

simplify74.0ms (0.9%)

Algorithm
egg-herbie
Rules
1482×associate-/l*
762×unswap-sqr
744×times-frac
692×*-commutative
608×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01671851
14331815
218211809
378981809
Stop Event
node limit
Counts
103 → 89
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y x)
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x))
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1)
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x)))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x y)))
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x)))
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1)
(pow.f64 (*.f64 (sin.f64 x) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y)))
Outputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) y))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))))
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) y)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x))
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y x))
(fma.f64 y x (*.f64 (pow.f64 x 3) (*.f64 y -1/6)))
(*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 (pow.f64 x 5) (*.f64 y 1/120))))
(fma.f64 y (*.f64 1/120 (pow.f64 x 5)) (*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))))
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5))))))
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 (pow.f64 x 5) (*.f64 y 1/120)))))
(fma.f64 y (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 y x (*.f64 y (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y)))
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1)
(*.f64 y (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) y) 1)
(*.f64 y (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)
(*.f64 y (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)
(*.f64 y (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)
(*.f64 y (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))
(*.f64 y (sin.f64 x))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))
(*.f64 y (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))
(*.f64 y (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))
(*.f64 y (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1))
(*.f64 y (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))

eval85.0ms (1%)

Compiler

Compiled 5117 to 2463 computations (51.9% saved)

prune71.0ms (0.8%)

Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New3798387
Fresh033
Picked011
Done2810
Total38120401
Error
0b
Counts
401 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
15.7b
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
0.7b
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
17.0b
(/.f64 (/.f64 y x) (/.f64 1 x))
15.8b
(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
14.1b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
14.6b
(/.f64 (*.f64 (sin.f64 x) y) x)
46.8b
(/.f64 (*.f64 y x) x)
32.6b
(/.f64 (sinh.f64 y) 1)
34.3b
(/.f64 y (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 x) x)) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))))
0.6b
(/.f64 y (/.f64 x (sin.f64 x)))
33.7b
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x)))
34.1b
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
33.9b
(+.f64 y (*.f64 -1/6 (*.f64 x (*.f64 y x))))
0.1b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
0.6b
(*.f64 (/.f64 (sin.f64 x) x) y)
0.6b
(*.f64 (/.f64 y x) (sin.f64 x))
33.9b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
61.9b
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
61.8b
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
32.7b
y
Compiler

Compiled 316 to 219 computations (30.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.0b
(/.f64 (sinh.f64 y) x)
0.1b
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
0.3b
(*.f64 1/6 x)
Compiler

Compiled 37 to 21 computations (43.2% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
1.0ms
y
@0
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
1.0ms
x
@inf
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
1.0ms
y
@-inf
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
1.0ms
x
@-inf
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))

rewrite90.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1114×associate-/r/
1016×associate-/l/
618×distribute-rgt-in
586×distribute-lft-in
518×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
128538
2393338
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(*.f64 1/6 x)
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
Outputs
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simplify102.0ms (1.2%)

Algorithm
egg-herbie
Rules
1462×distribute-lft-in
1434×distribute-rgt-in
732×associate-/r/
486×*-commutative
482×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03596696
110586454
242256454
Stop Event
node limit
Counts
126 → 201
Calls
Call 1
Inputs
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) (*.f64 1/5040 (/.f64 (pow.f64 y 7) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
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(+.f64 (*.f64 1/72 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/72 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 -1/432 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))))))
(*.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
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(+.f64 (*.f64 -648 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 8))) (+.f64 (*.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))))))
(*.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1)
(pow.f64 (*.f64 1/6 x) 1)
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(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/6) x))
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(cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(exp.f64 (log.f64 (*.f64 1/6 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
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(+.f64 (*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (*.f64 1/36 (*.f64 x x))) (*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))
(+.f64 (*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))) (*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (*.f64 1/36 (*.f64 x x))))
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(+.f64 (*.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x)) (/.f64 (/.f64 (sinh.f64 y) x) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (*.f64 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)) (/.f64 (/.f64 (sinh.f64 y) x) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x)) (/.f64 (/.f64 (sinh.f64 y) x) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)) (/.f64 (/.f64 (sinh.f64 y) x) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))
(+.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (*.f64 (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)) (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))))
(+.f64 (*.f64 (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)) (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (*.f64 (*.f64 1/36 (*.f64 x x)) (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))))) 1)
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 x) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (sinh.f64 y) (/.f64 (/.f64 1 x) (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x)) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))
(*.f64 1 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) 2) (cbrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x)))
(*.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (*.f64 (/.f64 (sinh.f64 y) x) (-.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (*.f64 (/.f64 (sinh.f64 y) x) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(*.f64 (/.f64 (/.f64 1 x) (fma.f64 1/6 x (/.f64 1 x))) (sinh.f64 y))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 (sqrt.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 (cbrt.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (cbrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (-.f64 (pow.f64 x -2) (*.f64 1/36 (*.f64 x x)))) (-.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (fma.f64 1/6 x (/.f64 1 x))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) x) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) 1) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) 1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (sqrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(*.f64 (/.f64 (/.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (sqrt.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) x)) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) x)) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))
(pow.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 x (sinh.f64 y))) -1)
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 (neg.f64 x) (fma.f64 1/6 x (/.f64 1 x)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
Outputs
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 y (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(/.f64 (/.f64 y x) (fma.f64 1/6 x (/.f64 1 x)))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 y (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
(fma.f64 1/6 (/.f64 (/.f64 (pow.f64 y 3) x) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 (/.f64 y x) (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))))
(fma.f64 1/120 (/.f64 (pow.f64 y 5) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (fma.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 y (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))))
(fma.f64 1/120 (/.f64 (/.f64 (pow.f64 y 5) x) (fma.f64 1/6 x (/.f64 1 x))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 y 3) x) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 (/.f64 y x) (fma.f64 1/6 x (/.f64 1 x)))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) (*.f64 1/5040 (/.f64 (pow.f64 y 7) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))))))
(fma.f64 1/120 (/.f64 (pow.f64 y 5) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 y (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))) (*.f64 1/5040 (/.f64 (pow.f64 y 7) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))
(fma.f64 1/120 (/.f64 (pow.f64 y 5) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (fma.f64 1/6 (/.f64 (pow.f64 y 3) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 y (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))
(fma.f64 1/120 (/.f64 (/.f64 (pow.f64 y 5) x) (fma.f64 1/6 x (/.f64 1 x))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 y 3) x) (fma.f64 1/6 x (/.f64 1 x))) (fma.f64 1/5040 (/.f64 (/.f64 (pow.f64 y 7) x) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 (/.f64 y x) (fma.f64 1/6 x (/.f64 1 x))))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1/2 x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1/2 x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1/2 x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1/2 x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
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(*.f64 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/36)))) (+.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (cbrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (fma.f64 1/6 x (/.f64 1 x))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) x) (sinh.f64 y))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1) (/.f64 (sinh.f64 y) x))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 x) (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1) (neg.f64 (fma.f64 1/6 x (/.f64 1 x))))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (-.f64 (/.f64 -1 x) (*.f64 1/6 x)))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 -1 x) (*.f64 x -1/6)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))
(*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (/.f64 (sinh.f64 y) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2))) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (/.f64 (sinh.f64 y) (neg.f64 x))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/36)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))))) (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)))))
(*.f64 (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)) (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 3) -1/216) (pow.f64 x -3))))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) 1) (/.f64 1 x))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (neg.f64 x)) -1)
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1) (neg.f64 (fma.f64 1/6 x (/.f64 1 x))))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (-.f64 (/.f64 -1 x) (*.f64 1/6 x)))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 -1 x) (*.f64 x -1/6)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) 1) (/.f64 1 x))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (neg.f64 x)) -1)
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1) (neg.f64 (fma.f64 1/6 x (/.f64 1 x))))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (-.f64 (/.f64 -1 x) (*.f64 1/6 x)))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 -1 x) (*.f64 x -1/6)))
(*.f64 (/.f64 (/.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (sqrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (*.f64 (sqrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))))) (sqrt.f64 (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)))) x)) (sqrt.f64 (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))))
(*.f64 (/.f64 (/.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (sqrt.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)))) (sqrt.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 x (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)))) (sqrt.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 x (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2)))) (sqrt.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) x)) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))))) (cbrt.f64 (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)))) (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2))) (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) x)) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2))) (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)))) (cbrt.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)))) (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2))) (cbrt.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))))) (cbrt.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(pow.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 1)
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) 2)
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) 3)
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 3) 1/3)
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(pow.f64 (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 x (sinh.f64 y))) -1)
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 (neg.f64 x) (fma.f64 1/6 x (/.f64 1 x)))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1) (neg.f64 (fma.f64 1/6 x (/.f64 1 x))))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (-.f64 (/.f64 -1 x) (*.f64 1/6 x)))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 -1 x) (*.f64 x -1/6)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2))
(fabs.f64 (/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))))))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x))) 3))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3)))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))) 1))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (sinh.f64 y) x) (fma.f64 1/6 x (/.f64 1 x)))))
(/.f64 (sinh.f64 y) (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
14.2b
(/.f64 (*.f64 y x) x)
Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite152.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1232×add-sqr-sqrt
1220×*-un-lft-identity
1140×add-cube-cbrt
1120×add-cbrt-cube
1110×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11261
217711
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))))

simplify37.0ms (0.4%)

Algorithm
egg-herbie
Rules
1564×associate-*r/
1316×times-frac
1232×associate-/r*
1084×associate-/l/
928×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094335
1238335
21283335
Stop Event
node limit
Counts
61 → 40
Calls
Call 1
Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(-.f64 (+.f64 1 y) 1)
(*.f64 y 1)
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 (*.f64 y x) (/.f64 1 x))
(*.f64 1 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 y x))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x)))
(*.f64 (/.f64 y x) x)
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y))
(pow.f64 y 1)
(pow.f64 (sqrt.f64 y) 2)
(pow.f64 (cbrt.f64 y) 3)
(pow.f64 (pow.f64 y 3) 1/3)
(pow.f64 (/.f64 1 y) -1)
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x)))
(sqrt.f64 (*.f64 y y))
(log.f64 (exp.f64 y))
(cbrt.f64 (pow.f64 y 3))
(expm1.f64 (log1p.f64 y))
(exp.f64 (log.f64 y))
(log1p.f64 (expm1.f64 y))
Outputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(-.f64 (+.f64 1 y) 1)
y
(*.f64 y 1)
y
(*.f64 x (*.f64 y (/.f64 1 x)))
y
(*.f64 (*.f64 y x) (/.f64 1 x))
y
(*.f64 1 y)
y
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x)))
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
y
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x)))
y
(*.f64 (/.f64 1 x) (*.f64 y x))
y
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x)))
y
(*.f64 (/.f64 x 1) (/.f64 y x))
y
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 y x) x)
y
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x))
y
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x))
y
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 y)))
(pow.f64 y 1)
y
(pow.f64 (sqrt.f64 y) 2)
y
(pow.f64 (cbrt.f64 y) 3)
y
(pow.f64 (pow.f64 y 3) 1/3)
y
(pow.f64 (/.f64 1 y) -1)
y
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x)))
y
(sqrt.f64 (*.f64 y y))
y
(log.f64 (exp.f64 y))
y
(cbrt.f64 (pow.f64 y 3))
y
(expm1.f64 (log1p.f64 y))
y
(exp.f64 (log.f64 y))
y
(log1p.f64 (expm1.f64 y))
y

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/6 (*.f64 x x))
7.4b
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
0.0ms
y
@0
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
0.0ms
y
@-inf
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
0.0ms
x
@inf
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
0.0ms
x
@-inf
(*.f64 y (*.f64 -1/6 (*.f64 x x)))

rewrite54.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1504×add-sqr-sqrt
1482×*-un-lft-identity
1380×add-cube-cbrt
1364×add-cbrt-cube
1350×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116319
2194019
Stop Event
node limit
Counts
1 → 12
Calls
Call 1
Inputs
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))))))

simplify64.0ms (0.7%)

Algorithm
egg-herbie
Rules
1400×distribute-rgt-in
1370×distribute-lft-in
1282×associate-*r*
1154×associate-*l*
1078×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048684
1121684
2456684
32972684
Stop Event
node limit
Counts
36 → 16
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 1)
(pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 4) 1/36)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/6) y))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))
Outputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 1)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 1)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 3)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 3) 1/3)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 x 4) 1/36)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/6) y))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y)) 3))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))) 1))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 x) (*.f64 x y))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (*.f64 y x))
0.2b
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
0.0ms
x
@inf
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
0.0ms
x
@-inf
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
0.0ms
y
@-inf
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
0.0ms
y
@inf
(*.f64 -1/6 (*.f64 x (*.f64 y x)))

rewrite57.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1530×add-sqr-sqrt
1510×*-un-lft-identity
1404×add-cube-cbrt
1382×add-cbrt-cube
1366×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
116132
2190232
Stop Event
node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 x (*.f64 y x)))
(*.f64 x (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 x (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x y))))))))

simplify85.0ms (1%)

Algorithm
egg-herbie
Rules
1440×distribute-lft-in
1418×distribute-rgt-in
1062×fma-def
656×log-prod
604×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0641152
11581152
27011152
325051152
Stop Event
node limit
Counts
72 → 28
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 1)
(pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 x (*.f64 x y)) 2)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x y))) 1)
(pow.f64 (*.f64 x (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x y))))
Outputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(*.f64 y (pow.f64 x 2))
(*.f64 y (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 1)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 1)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(pow.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 2)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 3)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 3) 1/3)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 x (*.f64 x y)) 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x (*.f64 x y))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y))) 3))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))) 1))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x (*.f64 x y)))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x y))) 1)
(*.f64 y (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x y)) 1)
(*.f64 y (*.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x y))) 2)
(*.f64 y (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x y))) 3)
(*.f64 y (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x y)) 3) 1/3)
(*.f64 y (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x y)) 2))
(*.f64 y (*.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) x))
(*.f64 y (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x y)) 3))
(*.f64 y (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x y))))
(*.f64 y (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x y))))
(*.f64 y (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x y))) 1))
(*.f64 y (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x y))))
(*.f64 y (*.f64 x x))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(*.f64 -1/6 y)
5.5b
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1)
15.5b
(*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))
Compiler

Compiled 48 to 32 computations (33.3% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1)
0.0ms
y
@0
(*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))
0.0ms
y
@inf
(*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))
0.0ms
y
@-inf
(*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))
0.0ms
x
@inf
(*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))

rewrite91.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1108×associate-*r/
940×*-commutative
934×associate-*l/
752×distribute-lft-in
716×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
123726
2317226
Stop Event
node limit
Counts
2 → 152
Calls
Call 1
Inputs
(*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x x)) (*.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x x)) (*.f64 0 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/6 y 1) (*.f64 x x)) (*.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -1) (*.f64 (fma.f64 -1/6 y 1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (fma.f64 -1/6 y 1) (*.f64 x x))) (*.f64 1 (*.f64 (*.f64 x x) -1)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/6 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 y -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/6 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 -1/6 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/6 y)) (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2))))) (#(struct:change #<rule 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simplify99.0ms (1.2%)

Algorithm
egg-herbie
Rules
1356×associate-/r/
926×associate-+r+
872×associate-+l+
702×associate-/l*
582×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03656730
110566616
250036592
Stop Event
node limit
Counts
188 → 230
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1)))
(+.f64 (*.f64 x x) (*.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1)) 1))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1))) (cbrt.f64 (+.f64 (*.f64 -1/6 y) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)))) (cbrt.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1))) 1) (-.f64 1 (fma.f64 -1/6 y -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 y -1) 3)) 1) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1)) (fma.f64 -1/6 y -1))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1)) 1) (neg.f64 (+.f64 (*.f64 -1/6 y) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3))) 1) (neg.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1)) (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 (+.f64 (*.f64 -1/6 y) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3))) (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1)) (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2)) (cbrt.f64 (+.f64 (*.f64 -1/6 y) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3))) (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2)) (cbrt.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) (pow.f64 (fma.f64 -1/6 y 1) 2)) 1) (/.f64 1 (+.f64 (*.f64 -1/6 y) 2))) (+.f64 1 (pow.f64 (fma.f64 -1/6 y 1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) 3) 1) (/.f64 1 (+.f64 (*.f64 -1/6 y) 2))) (+.f64 (*.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) (pow.f64 (fma.f64 -1/6 y 1) 2)) (+.f64 1 (pow.f64 (fma.f64 -1/6 y 1) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/6 y 1) 3) (pow.f64 (fma.f64 -1/6 y 1) 3)) 1) (/.f64 1 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2))))) (+.f64 1 (pow.f64 (fma.f64 -1/6 y 1) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 -1/6 y 1) 3) 3) 1) (/.f64 1 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2))))) (+.f64 (*.f64 (pow.f64 (fma.f64 -1/6 y 1) 3) (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 1 (pow.f64 (fma.f64 -1/6 y 1) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1) 1) (+.f64 (*.f64 -1/6 y) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1) (sqrt.f64 (+.f64 (*.f64 -1/6 y) 2))) (sqrt.f64 (+.f64 (*.f64 -1/6 y) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1) (*.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 y) 2)) (cbrt.f64 (+.f64 (*.f64 -1/6 y) 2)))) (cbrt.f64 (+.f64 (*.f64 -1/6 y) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) 1) (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (sqrt.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2))))) (sqrt.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))) (cbrt.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))))) (cbrt.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))))
(pow.f64 (*.f64 -1/6 y) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (*.f64 y y) 1/36))
(log.f64 (pow.f64 (exp.f64 y) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 y))))
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 y)))
(exp.f64 (log.f64 (*.f64 -1/6 y)))
(log1p.f64 (expm1.f64 (*.f64 -1/6 y)))
(fma.f64 1 (fma.f64 -1/6 y 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 y 1)) (sqrt.f64 (fma.f64 -1/6 y 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 y 1) 2)) (cbrt.f64 (fma.f64 -1/6 y 1)) -1)
Outputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1))))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1)) 1))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x x)) (*.f64 (*.f64 x x) 0))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x x)) (*.f64 0 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1)) (*.f64 x x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 (fma.f64 -1/6 y 1) (*.f64 x x)) (*.f64 (*.f64 x x) -1))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) -1) (*.f64 (fma.f64 -1/6 y 1) (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 1 (*.f64 (fma.f64 -1/6 y 1) (*.f64 x x))) (*.f64 1 (*.f64 (*.f64 x x) -1)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (fma.f64 -1/6 y 1) (*.f64 x x)) 1) (*.f64 (*.f64 (*.f64 x x) -1) 1))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) 1)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 -1/6 y -1))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 y -1))) (expm1.f64 (log1p.f64 (*.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 1 (*.f64 -1/6 y)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x x)) 1)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1) (/.f64 (+.f64 (*.f64 -1/6 y) 2) (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (/.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2))) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (fma.f64 -1/6 y 2) (pow.f64 (fma.f64 -1/6 y 1) 2))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) (fma.f64 -1/6 y 2))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 y 1) (fma.f64 -1/6 y 2)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1)) (+.f64 (*.f64 -1/6 y) 2))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3))) (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (fma.f64 -1/6 y 2) (pow.f64 (fma.f64 -1/6 y 1) 2))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) (fma.f64 -1/6 y 2))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 y 1) (fma.f64 -1/6 y 2)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3))) (-.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 y 1) 2)) (*.f64 (fma.f64 -1/6 y 1) -1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (fma.f64 -1/6 y 2) (pow.f64 (fma.f64 -1/6 y 1) 2))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) (fma.f64 -1/6 y 2))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 y 1) (fma.f64 -1/6 y 2)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1))) (+.f64 (*.f64 -1/6 y) 2))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)))) (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (fma.f64 -1/6 y 2) (pow.f64 (fma.f64 -1/6 y 1) 2))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) (fma.f64 -1/6 y 2))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 y 1) (fma.f64 -1/6 y 2)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1))) (+.f64 (*.f64 -1/6 y) 2))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)))) (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (fma.f64 -1/6 y 2) (pow.f64 (fma.f64 -1/6 y 1) 2))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) (fma.f64 -1/6 y 2))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 y 1) (fma.f64 -1/6 y 2)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1)))) (-.f64 1 (fma.f64 -1/6 y -1)))
(/.f64 (*.f64 x x) (/.f64 (-.f64 1 (fma.f64 -1/6 y -1)) (-.f64 1 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1))) (-.f64 1 (fma.f64 -1/6 y -1))) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1))) (+.f64 (*.f64 y 1/6) 2)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 (fma.f64 -1/6 y -1) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1)) (fma.f64 -1/6 y -1))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1)) (fma.f64 -1/6 y -1))) (+.f64 1 (pow.f64 (fma.f64 -1/6 y -1) 3))))
(*.f64 (/.f64 x (+.f64 (*.f64 (fma.f64 -1/6 y -1) (fma.f64 -1/6 y -1)) (+.f64 (*.f64 y 1/6) 2))) (*.f64 x (+.f64 1 (pow.f64 (fma.f64 -1/6 y -1) 3))))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1))) (neg.f64 (+.f64 (*.f64 -1/6 y) 2)))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 3)))) (neg.f64 (+.f64 (*.f64 -1/6 y) (+.f64 2 (pow.f64 (fma.f64 -1/6 y 1) 2)))))
(/.f64 (*.f64 x x) (/.f64 (neg.f64 (+.f64 (fma.f64 -1/6 y 2) (pow.f64 (fma.f64 -1/6 y 1) 2))) (+.f64 1 (neg.f64 (pow.f64 (fma.f64 -1/6 y 1) 3)))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 y 1/6) -2) (pow.f64 (fma.f64 -1/6 y 1) 2))) (-.f64 1 (pow.f64 (fma.f64 -1/6 y 1) 3)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 y 1) 2) -1))) (sqrt.f64 (+.f64 (*.f64 -1/6 y) 2)))
(/.f64 (*.f64 x (*.f64 x (sqrt.f64 (*.f64 -1/6 y)))) (/.f64 (sqrt.f64 (fma.f64 -1/6 y 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 y 1) 2))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 -1/6 y 2)) (*.f64 x x)) (sqrt.f64 (*.f64 -1/6 y))))
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(pow.f64 (*.f64 -1/6 y) 1)
(*.f64 -1/6 y)
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)
(*.f64 -1/6 y)
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)
(*.f64 -1/6 y)
(pow.f64 (*.f64 (pow.f64 y 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216))
(sqrt.f64 (*.f64 (*.f64 y y) 1/36))
(sqrt.f64 (*.f64 y (*.f64 y 1/36)))
(log.f64 (pow.f64 (exp.f64 y) -1/6))
(*.f64 -1/6 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 y))))
(*.f64 -1/6 y)
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 y)))
(*.f64 -1/6 y)
(exp.f64 (log.f64 (*.f64 -1/6 y)))
(*.f64 -1/6 y)
(log1p.f64 (expm1.f64 (*.f64 -1/6 y)))
(*.f64 -1/6 y)
(fma.f64 1 (fma.f64 -1/6 y 1) -1)
(*.f64 -1/6 y)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 y 1)) (sqrt.f64 (fma.f64 -1/6 y 1)) -1)
(*.f64 -1/6 y)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 y 1) 2)) (cbrt.f64 (fma.f64 -1/6 y 1)) -1)

eval316.0ms (3.7%)

Compiler

Compiled 15391 to 9740 computations (36.7% saved)

prune150.0ms (1.7%)

Pruning

25 alts after pruning (13 fresh and 12 done)

PrunedKeptTotal
New6837690
Fresh066
Picked011
Done21113
Total68525710
Error
0b
Counts
710 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
15.7b
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
0.7b
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
17.0b
(/.f64 (/.f64 y x) (/.f64 1 x))
15.8b
(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
14.1b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
14.6b
(/.f64 (*.f64 (sin.f64 x) y) x)
46.8b
(/.f64 (*.f64 y x) x)
32.6b
(/.f64 (sinh.f64 y) 1)
34.3b
(/.f64 y (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 x) x)) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))))
0.6b
(/.f64 y (/.f64 x (sin.f64 x)))
15.8b
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
42.8b
(-.f64 (+.f64 1 y) 1)
33.7b
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x)))
33.9b
(+.f64 y (*.f64 -1/6 (*.f64 x (*.f64 y x))))
0.1b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
0.6b
(*.f64 (/.f64 (sin.f64 x) x) y)
0.6b
(*.f64 (/.f64 y x) (sin.f64 x))
16.9b
(*.f64 (/.f64 y x) x)
46.8b
(*.f64 (/.f64 1 x) (*.f64 y x))
33.9b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
17.0b
(*.f64 x (*.f64 y (/.f64 1 x)))
61.8b
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
61.9b
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
39.5b
(sqrt.f64 (*.f64 y y))
32.7b
y
Compiler

Compiled 238 to 164 computations (31.1% saved)

regimes91.0ms (1.1%)

Counts
32 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (*.f64 -1/6 (*.f64 x (*.f64 y x))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x)))
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 x) x)) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
Calls

4 calls:

40.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
15.0ms
y
15.0ms
x
14.0ms
(sinh.f64 y)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
0.1b1(sinh.f64 y)
Compiler

Compiled 266 to 130 computations (51.1% saved)

regimes45.0ms (0.5%)

Counts
27 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (*.f64 -1/6 (*.f64 x (*.f64 y x))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x)))
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (*.f64 (*.f64 1/6 x) x)) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) y)
Calls

3 calls:

14.0ms
x
13.0ms
(sinh.f64 y)
13.0ms
y
Results
ErrorSegmentsBranch
0.6b1x
0.6b1y
0.6b1(sinh.f64 y)
Compiler

Compiled 220 to 116 computations (47.3% saved)

regimes65.0ms (0.8%)

Counts
20 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (*.f64 -1/6 (*.f64 x (*.f64 y x))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x)))
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 y x) (sin.f64 x))
Outputs
(*.f64 (/.f64 y x) (sin.f64 x))
Calls

3 calls:

41.0ms
y
10.0ms
x
10.0ms
(sinh.f64 y)
Results
ErrorSegmentsBranch
0.6b1x
0.6b1y
0.6b1(sinh.f64 y)
Compiler

Compiled 155 to 82 computations (47.1% saved)

regimes39.0ms (0.5%)

Counts
19 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (*.f64 -1/6 (*.f64 x (*.f64 y x))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x)))
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
Outputs
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
Calls

3 calls:

15.0ms
x
10.0ms
(sinh.f64 y)
9.0ms
y
Results
ErrorSegmentsBranch
15.8b1x
15.8b1y
15.8b1(sinh.f64 y)
Compiler

Compiled 149 to 80 computations (46.3% saved)

regimes18.0ms (0.2%)

Accuracy

Total -45.2b remaining (-267.3%)

Threshold costs -45.2b (-267.3%)

Counts
14 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 y (*.f64 -1/6 x)))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (*.f64 -1/6 (*.f64 x (*.f64 y x))))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
Outputs
(*.f64 (/.f64 y x) x)
Calls

2 calls:

8.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
16.9b1x
16.9b1y
Compiler

Compiled 102 to 51 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020100
129100
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(*.f64 (/.f64 y x) x)
y
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 y (*.f64 x (+.f64 (*.f64 x 1/6) (/.f64 1 x))))
(*.f64 (/.f64 y x) x)
(*.f64 x (/.f64 y x))
y
Compiler

Compiled 48 to 31 computations (35.4% saved)

soundness154.0ms (1.8%)

Algorithm
egg-herbie
Rules
1366×associate-*r*
1204×fma-neg
980×associate-/l*
772×associate-*l*
768×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11821
23921
37921
417521
542321
6138321
7570821
Stop Event
node limit
Compiler

Compiled 16 to 8 computations (50% saved)

end29.0ms (0.3%)

Compiler

Compiled 38 to 17 computations (55.3% saved)

Profiling

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