Details

Time bar (total: 9.5s)

analyze149.0ms (1.6%)

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)

sample2.9s (30.9%)

Results
1.1s6933×body256valid
853.0ms2017×body1024infinite
304.0ms632×body1024valid
272.0ms990×body512infinite
240.0ms1626×body256infinite
174.0ms691×body512valid
1.0msbody2048infinite
Bogosity

preprocess56.0ms (0.6%)

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)

simplify53.0ms (0.6%)

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New347
Fresh101
Picked000
Done000
Total448
Error
0.0b
Counts
8 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
0.7b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
0.2b
(*.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))
0.2b
(/.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))

rewrite78.0ms (0.8%)

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
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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)) 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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)))))))

simplify83.0ms (0.9%)

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)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.0b
(/.f64 (sinh.f64 y) x)
0.2b
(*.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
y
@0
(/.f64 (sinh.f64 y) x)

rewrite72.0ms (0.8%)

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)))))))

simplify126.0ms (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)
0.0b
(/.f64 x (sinh.f64 y))
0.7b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite67.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1618×associate-*r/
1528×associate-/l*
1094×associate-*l/
1026×*-commutative
538×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119332
2270732
Stop Event
node limit
Counts
2 → 143
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 x (sinh.f64 y))
Outputs
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simplify119.0ms (1.2%)

Algorithm
egg-herbie
Rules
1074×distribute-lft-in
1066×distribute-rgt-in
620×distribute-lft-neg-in
558×distribute-rgt-neg-in
506×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03866047
110824695
243004607
Stop Event
node limit
Counts
191 → 209
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)
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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))
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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))
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(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(/.f64 x y)
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(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x)))
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(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 (sinh.f64 y) x)))
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(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))
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(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
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(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 -1 (/.f64 (sinh.f64 y) x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) -1) (neg.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))) (neg.f64 (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 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x 1)) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 x)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(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 (neg.f64 x) (sinh.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(log.f64 (pow.f64 (exp.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 x (sinh.f64 y)))) 1)
(*.f64 x (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 x (sinh.f64 y)) 1)
(*.f64 1 (/.f64 x (sinh.f64 y)))
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 x (*.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) (+.f64 x x))
(*.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 2)
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x))
(*.f64 (/.f64 x (neg.f64 (*.f64 (sinh.f64 y) 2))) -2)
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) 2)
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sinh.f64 y) 2)) 2)
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2)
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(pow.f64 (/.f64 x (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (sinh.f64 y) x) -1)
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.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 (*.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 (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 (*.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 (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 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)))
(+.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 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (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))))))
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(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 x (neg.f64 (*.f64 (sinh.f64 y) 2))) -2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sinh.f64 y) 2)) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2))
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2))
(pow.f64 (/.f64 x (sinh.f64 y)) 1)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) x) -1)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))
(fabs.f64 (/.f64 x (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))

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

rewrite82.0ms (0.9%)

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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simplify77.0ms (0.8%)

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 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1))
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sinh.f64 y) (sqrt.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 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.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)
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(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (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 (sinh.f64 y) -1) (neg.f64 (/.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 (sinh.f64 y) (neg.f64 (neg.f64 x))) (neg.f64 (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 (sinh.f64 y) (/.f64 x (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 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)))) (cbrt.f64 (sinh.f64 y)))
(*.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) (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))

eval306.0ms (3.2%)

Compiler

Compiled 19335 to 6684 computations (65.4% saved)

prune298.0ms (3.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New120891217
Fresh000
Picked011
Done303
Total1211101221
Error
0b
Counts
1221 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
17.3b
(/.f64 (*.f64 y (sin.f64 x)) x)
43.2b
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
30.3b
(/.f64 (sinh.f64 y) 1)
2.1b
(/.f64 (sin.f64 x) (/.f64 x y))
2.0b
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
0.9b
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x))
1.5b
(/.f64 y (/.f64 x (sin.f64 x)))
1.5b
(*.f64 (/.f64 y x) (sin.f64 x))
Compiler

Compiled 187 to 128 computations (31.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (sinh.f64 y))
0.0b
(sinh.f64 y)
0.3b
(*.f64 (/.f64 1 (sinh.f64 y)) x)
0.7b
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x))
Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite82.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1540×associate-/l*
1398×associate-*l/
1086×*-commutative
544×associate-/r/
342×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
122743
2298543
Stop Event
node limit
Counts
3 → 180
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x))
(*.f64 (/.f64 1 (sinh.f64 y)) x)
(/.f64 1 (sinh.f64 y))
Outputs
((#(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 1 (*.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 (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 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 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simplify101.0ms (1.1%)

Algorithm
egg-herbie
Rules
948×distribute-rgt-in
940×distribute-lft-in
556×associate-*r*
548×*-commutative
534×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04917228
113205826
249565730
Stop Event
node limit
Counts
240 → 294
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))))
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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 (*.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))
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 x y)
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(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(/.f64 1 y)
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(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)
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(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sinh.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
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(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 (sinh.f64 y) x))
(*.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 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) x) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x 1)) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 x)) (cbrt.f64 (sinh.f64 y)))
(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 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y)) 1))
(neg.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 1 (neg.f64 x)) (sinh.f64 y))))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y))))
(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 (pow.f64 (exp.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 (sin.f64 x) 3) (pow.f64 (/.f64 x (sinh.f64 y)) 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 x (sinh.f64 y)))) 1)
(/.f64 x (sinh.f64 y))
(/.f64 1 (/.f64 (sinh.f64 y) x))
(/.f64 1 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 x))
(/.f64 (/.f64 x (sinh.f64 y)) 1)
(/.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 1 (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (sqrt.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (cbrt.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 (sinh.f64 y)) x))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (/.f64 x (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 x 1) (sinh.f64 y))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(/.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 1/2)
(/.f64 (neg.f64 x) (neg.f64 (sinh.f64 y)))
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) x) (cbrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 x 1) 1) (sinh.f64 y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) 1) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) 1) (cbrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 1 (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y))) 1)
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(pow.f64 (/.f64 x (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 x) (sinh.f64 y)))
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(*.f64 2 (/.f64 1 (*.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 -1 (sinh.f64 y)) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) 2)
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1))
(*.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2)
(*.f64 (/.f64 2 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.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 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2)
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(pow.f64 (sinh.f64 y) -1)
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (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 -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 (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 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))
(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 (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 -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 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y 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))))
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(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
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(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) 1) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
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(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 x)))
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(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(/.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 1/2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
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(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(/.f64 x (sinh.f64 y))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
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(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 x x))))
(/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) x) (cbrt.f64 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(/.f64 (*.f64 (/.f64 x 1) 1) (sinh.f64 y))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) 1) (sqrt.f64 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) 1) (cbrt.f64 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(/.f64 (*.f64 1 (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (sinh.f64 y)))
(/.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y))) 1)
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 x x))))
(pow.f64 (/.f64 x (sinh.f64 y)) 1)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(neg.f64 (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))
(fabs.f64 (/.f64 x (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) (pow.f64 x 3)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
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(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)
(/.f64 1 (sinh.f64 y))
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
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(*.f64 2 (/.f64 1 (*.f64 (sinh.f64 y) 2)))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 -1 (sinh.f64 y)) -1)
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) 2)
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(pow.f64 (sqrt.f64 (sinh.f64 y)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
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(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2)
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(*.f64 (/.f64 2 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y -2)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.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 (-.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 2 (/.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))))))
(/.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y -2))))))
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2))
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2)
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2))
(pow.f64 (sinh.f64 y) -1)
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(/.f64 1 (sinh.f64 y))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))
(/.f64 1 (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))

localize5.0ms (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 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)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite85.0ms (0.9%)

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))))))))

simplify93.0ms (1%)

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 y (sin.f64 x))
15.8b
(/.f64 (*.f64 y (sin.f64 x)) x)
Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

12 calls:

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

rewrite77.0ms (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 y (sin.f64 x)) x)
(*.f64 y (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 (sin.f64 x) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (*.f64 y (sin.f64 x)))))) (#(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 y (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 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 y 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 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(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) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.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 pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x)))))) (#(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 (exp.f64 (*.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 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 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x))))))))

simplify52.0ms (0.5%)

Algorithm
egg-herbie
Rules
1526×associate-*r/
1102×associate-/l*
1056×unswap-sqr
930×associate-*l/
682×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01661371
14231311
217491305
Stop Event
node limit
Counts
63 → 88
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 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 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1)
(*.f64 y (*.f64 (sin.f64 x) (pow.f64 x -1)))
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1)))
(*.f64 (*.f64 y (sin.f64 x)) (pow.f64 x -1))
(*.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(*.f64 1 (*.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 (sqrt.f64 (*.f64 y (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (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 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1)))
(*.f64 (pow.f64 x -1) (*.f64 y (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 y (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.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)
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)
(neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))
(log.f64 (exp.f64 (*.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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1)
(pow.f64 (*.f64 y (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x))))
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 -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 -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 1/120 (*.f64 y (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 -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 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)))
(*.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 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y (+.f64 x (*.f64 1/120 (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))))))
(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 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (*.f64 y (+.f64 x (*.f64 1/120 (pow.f64 x 5))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 y (*.f64 (sin.f64 x) (pow.f64 x -1)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 y (sin.f64 x)) (pow.f64 x -1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 1 (*.f64 (/.f64 y x) (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 x -1) (*.f64 y (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x))))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)
(*.f64 y (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))
(*.f64 y (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))
(*.f64 y (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1))
(*.f64 y (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1)
(*.f64 y (sin.f64 x))
(pow.f64 (*.f64 y (sin.f64 x)) 1)
(*.f64 y (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2)
(*.f64 y (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3)
(*.f64 y (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3)
(*.f64 y (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 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 y (sin.f64 x)))))
(*.f64 y (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3))
(*.f64 y (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x))))
(*.f64 y (sin.f64 x))
(exp.f64 (log.f64 (*.f64 y (sin.f64 x))))
(*.f64 y (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sin.f64 x))) 1))
(*.f64 y (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x))))
(*.f64 y (sin.f64 x))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.0b
(/.f64 x (sinh.f64 y))
0.2b
(/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))
0.9b
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
Compiler

Compiled 29 to 9 computations (69% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite100.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1860×associate-/l*
774×swap-sqr
762×associate-/r/
528×associate-/l/
468×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
123742
2315942
Stop Event
node limit
Counts
2 → 234
Calls
Call 1
Inputs
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
(/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))
Outputs
((#(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 -1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))))) (#(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 (*.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 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (sinh.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) 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y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))))))

simplify297.0ms (3.1%)

Algorithm
egg-herbie
Rules
936×*-commutative
906×associate-*r/
808×associate-*l/
798×associate-/r/
718×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066611466
119199786
270599786
Stop Event
node limit
Counts
282 → 376
Calls
Call 1
Inputs
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))))
(*.f64 (/.f64 x 1) (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x))) x)
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (/.f64 x (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 1 (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y)))) 2)
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2))) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x)
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (sinh.f64 y))) (neg.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (+.f64 x x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) 1) (/.f64 2 (*.f64 2 (sinh.f64 y))))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 2 (sinh.f64 y))) 2)
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) -2)
(*.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) 2)
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) 1) (/.f64 2 (*.f64 2 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 2 (sinh.f64 y))) 2)
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) -2)
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 1)
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) -1)
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 3) 1/3)
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))
(neg.f64 (/.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) 1))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 7/720 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/72 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 x 4))) (*.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))) (fma.f64 -1 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/240) (pow.f64 x 4)) (*.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 (-.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 -1/240 (pow.f64 x 4)))))
(-.f64 (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 -1/240 (pow.f64 x 4))))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 7/720 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/72 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31/30240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -7/4320 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/6 (+.f64 (*.f64 7/720 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/72 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))) (pow.f64 x 6))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/240) (pow.f64 x 4)) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 31/30240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -7/4320 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/240) -1/6))) (pow.f64 x 6))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (-.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/1440) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/1680))) (pow.f64 x 6) (*.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 -1/240 (pow.f64 x 4)))))
(-.f64 (-.f64 (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 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/1440) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/1680)) (pow.f64 x 6))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/240 (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 (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 (*.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 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 2))) (*.f64 -1/36 (/.f64 (sin.f64 x) x))) (pow.f64 y 5))) (/.f64 (*.f64 y (sin.f64 x)) x)))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 -1/36 (/.f64 (sin.f64 x) x))) (pow.f64 y 5)) (/.f64 y (/.f64 x (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (-.f64 (*.f64 (/.f64 y x) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1/36 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) x))) (pow.f64 y 5))))
(-.f64 (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) (*.f64 (-.f64 (*.f64 -1/36 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) x))) (pow.f64 y 5)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 2))) (*.f64 -1/36 (/.f64 (sin.f64 x) x))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 7) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x))))) (+.f64 (*.f64 1/5040 (/.f64 x (sin.f64 x))) (*.f64 -1/720 (/.f64 x (sin.f64 x))))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 2))) (*.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 2))) (*.f64 -1/36 (/.f64 (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 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 -1/36 (/.f64 (sin.f64 x) x))) (pow.f64 y 5)) (fma.f64 -1 (*.f64 (pow.f64 y 7) (fma.f64 -1/6 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (fma.f64 -1 (/.f64 (fma.f64 -1/6 (*.f64 (/.f64 x (sin.f64 x)) -7/360) (*.f64 (/.f64 x (sin.f64 x)) -1/840)) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 1/6 (fma.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 -1/36 (/.f64 (sin.f64 x) x))))))) (/.f64 y (/.f64 x (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (-.f64 (-.f64 (*.f64 (/.f64 y x) (sin.f64 x)) (*.f64 (pow.f64 y 7) (+.f64 (+.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 7/2160) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) x) -1/216)) (-.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 7/2160) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 (fma.f64 (/.f64 x (sin.f64 x)) -1/840 (*.f64 (/.f64 x (sin.f64 x)) 7/2160)) x)))))) (*.f64 (-.f64 (*.f64 -1/36 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) x))) (pow.f64 y 5))))
(-.f64 (-.f64 (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) (*.f64 (pow.f64 y 7) (+.f64 (+.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 7/2160) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) x) -1/216)) (-.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 7/2160) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 (fma.f64 (/.f64 x (sin.f64 x)) -1/840 (*.f64 (/.f64 x (sin.f64 x)) 7/2160)) x)))))) (*.f64 (-.f64 (*.f64 -1/36 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) x))) (pow.f64 y 5)))
(*.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)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 x))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y)))) 2)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2))) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 x))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 x (sinh.f64 y)))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (/.f64 x (sin.f64 x)) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (sinh.f64 y))) (neg.f64 x))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (+.f64 x x))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) 1) (/.f64 2 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 2 (sinh.f64 y))) 2)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) -2)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) 2)
(*.f64 2 (*.f64 (/.f64 (neg.f64 x) -2) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (sinh.f64 y)) -1)
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) 1) (/.f64 2 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 2 (sinh.f64 y))) 2)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) -2)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 1)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) -1)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 3)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 3) 1/3)
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(neg.f64 (/.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) 1))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) 2))
(fabs.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(log.f64 (exp.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 3))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))

eval362.0ms (3.8%)

Compiler

Compiled 19394 to 7619 computations (60.7% saved)

prune341.0ms (3.6%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New1157101167
Fresh134
Picked011
Done145
Total1159181177
Error
0b
Counts
1177 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
17.3b
(/.f64 (*.f64 y (sin.f64 x)) x)
46.6b
(/.f64 (*.f64 y x) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
30.3b
(/.f64 (sinh.f64 y) 1)
2.1b
(/.f64 (sin.f64 x) (/.f64 x y))
2.0b
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
2.2b
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
2.2b
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x))
1.5b
(/.f64 y (/.f64 x (sin.f64 x)))
1.6b
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
32.0b
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
32.0b
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
1.5b
(*.f64 (/.f64 y x) (sin.f64 x))
0.2b
(*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y))
17.3b
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
1.5b
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
30.8b
y
Compiler

Compiled 301 to 205 computations (31.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 38 to 21 computations (44.7% saved)

series2.0ms (0%)

Counts
4 → 52
Calls

15 calls:

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

rewrite88.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
980×associate-/l*
966×unswap-sqr
794×swap-sqr
640×associate-/r/
454×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01260
124854
2316054
Stop Event
node limit
Counts
4 → 234
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 (sin.f64 x)))
(/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))))) (#(struct:change 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simplify238.0ms (2.5%)

Algorithm
egg-herbie
Rules
940×associate-/l*
838×associate-*r*
774×times-frac
770×associate-/r*
706×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06117362
116257044
276657044
Stop Event
node limit
Counts
286 → 367
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 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)))))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
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 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) 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 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))))))
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (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 (/.f64 1 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))))) (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (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 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/6))
(pow.f64 (sin.f64 x) -1)
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3)
(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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)
(/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)))
(/.f64 1 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))))
(/.f64 1 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y))))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (sinh.f64 y)))
(/.f64 -1 (/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) 2))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) 1/2))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 2 (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 1))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 1 x)))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 (neg.f64 x) (sin.f64 x))) -1))
(/.f64 2 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (sinh.f64 y)))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2)
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2)
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 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) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 2 (sinh.f64 y))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) 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 (*.f64 (/.f64 x (sin.f64 x)) 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 1 x) (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 1 (sin.f64 x)) 2))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 x)) (*.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 2))
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (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)
(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 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x (sin.f64 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))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1))
(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 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120)))
(+.f64 (fma.f64 (*.f64 x x) -1/6 1) (*.f64 (pow.f64 x 4) 1/120))
(+.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 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))))
(+.f64 (fma.f64 (*.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040)))
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/6 x (fma.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))))
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))))
(*.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 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(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 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 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(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))))
(+.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 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 x (*.f64 x (-.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 (pow.f64 x 6) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(/.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 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (/.f64 y x) (sin.f64 x)))
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(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(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))
(-.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 1 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 1 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 1 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 2 (*.f64 2 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sin.f64 x)))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 -1 (/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) 1/2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 2 (/.f64 (sin.f64 x) x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 1 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 (neg.f64 x) (sin.f64 x))) -1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 2 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2)))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2) (/.f64 (sin.f64 x) x)))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 x (*.f64 (sqrt.f64 (sinh.f64 y)) (sin.f64 x))) (sqrt.f64 2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sin.f64 x))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sqrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 x (*.f64 (sqrt.f64 (sinh.f64 y)) (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sqrt.f64 (sinh.f64 y)))) (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sin.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (*.f64 (sqrt.f64 (sinh.f64 y)) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 y))))
(*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sinh.f64 y))) (/.f64 x (sin.f64 x))) (sqrt.f64 (sinh.f64 y))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (fabs.f64 (cbrt.f64 (sinh.f64 y))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sinh.f64 y))) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (/.f64 (/.f64 (*.f64 2 x) (sin.f64 x)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (/.f64 (*.f64 x (/.f64 2 (sin.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 2 (sinh.f64 y))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 2 x) (sin.f64 x))) (/.f64 (*.f64 2 (sinh.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (/.f64 (+.f64 (exp.f64 y) (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 (*.f64 (/.f64 x (sin.f64 x)) 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 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 (/.f64 (*.f64 2 x) (sin.f64 x)) (+.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 x (/.f64 2 (sin.f64 x)))) (+.f64 1 (+.f64 (exp.f64 (+.f64 (neg.f64 y) (neg.f64 y))) (exp.f64 (+.f64 y y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 x (/.f64 2 (sin.f64 x)))) (+.f64 1 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (+.f64 (neg.f64 y) (neg.f64 y))))))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 1 (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 x)) (*.f64 2 (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(*.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 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.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 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
15.9b
(/.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)

rewrite56.0ms (0.6%)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
0.3b
(*.f64 -1/6 y)
6.1b
(*.f64 (*.f64 -1/6 y) (*.f64 x x))
Compiler

Compiled 27 to 13 computations (51.9% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

15 calls:

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

rewrite141.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
954×*-commutative
824×unswap-sqr
586×swap-sqr
472×distribute-lft-in
464×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0951
119447
2259347
Stop Event
node limit
Counts
3 → 113
Calls
Call 1
Inputs
(*.f64 (*.f64 -1/6 y) (*.f64 x x))
(*.f64 -1/6 y)
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x 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 -1/6 (*.f64 y (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 log.f64 (+.f64 1 (expm1.f64 (*.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 log1p.f64 (expm1.f64 (*.f64 -1/6 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (exp.f64 (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 y) (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -1/6 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 y x)) x y)))))

simplify104.0ms (1.1%)

Algorithm
egg-herbie
Rules
1670×associate-/r*
1410×associate-*r/
1128×associate-*l/
456×associate-*r*
438×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03137667
18297261
236647261
Stop Event
node limit
Counts
161 → 195
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 -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 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y))
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 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) 1)
(pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.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))
(log.f64 (+.f64 1 (expm1.f64 (*.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)))
(log1p.f64 (expm1.f64 (*.f64 -1/6 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) (-.f64 1 y))
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(-.f64 (+.f64 y (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) 1)
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (exp.f64 (log1p.f64 y))) 1)
(*.f64 y (+.f64 1 (*.f64 -1/6 (*.f64 x x))))
(*.f64 y (+.f64 (*.f64 -1/6 (*.f64 x x)) 1))
(*.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1)
(*.f64 1 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(*.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))
(*.f64 (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))
(*.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (+.f64 (*.f64 y y) (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) 2))) (+.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 y 1/6)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (+.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) 3))) (+.f64 (pow.f64 y 4) (*.f64 (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) (-.f64 (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) (*.f64 y y)))))
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) y)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) (*.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/6))
(/.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 1 (/.f64 1 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))
(/.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (/.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (/.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))))
(/.f64 (sqrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (sqrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))) (/.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y y)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))
(/.f64 (-.f64 (pow.f64 y 6) (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 6)) (*.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))))
(/.f64 (-.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 8) (*.f64 1/1296 (pow.f64 y 4)))) (*.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 3)) (*.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (+.f64 (pow.f64 y 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) 3)) (*.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (+.f64 (+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 8) (*.f64 1/1296 (pow.f64 y 4)))) (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 2))))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y y)) 1) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))
(/.f64 (*.f64 (neg.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) 1) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) 1) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 8) (*.f64 1/1296 (pow.f64 y 4)))) (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) 3)) (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) (+.f64 (+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 8) (*.f64 1/1296 (pow.f64 y 4)))) (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 y 6) (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 6)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (+.f64 (pow.f64 y 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)))))
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) 1) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (*.f64 (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (+.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) 1) (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/3)
(neg.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)
(fma.f64 (*.f64 -1/6 y) (*.f64 x x) y)
(fma.f64 (*.f64 x x) (*.f64 -1/6 y) y)
(fma.f64 1 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(fma.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(fma.f64 (*.f64 -1/6 (*.f64 y x)) x y)
Outputs
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
(*.f64 -1/6 (*.f64 y (*.f64 x x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) 1)
(*.f64 -1/6 (*.f64 (*.f64 y x) x))
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(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (+.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y)))))
(/.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 -1/36 (pow.f64 x 4)) (*.f64 y y))) (fma.f64 x (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/36 (pow.f64 x 4)) 1) (*.f64 y y)) (fma.f64 x (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 x 4))) (*.f64 y y)) (fma.f64 x (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) 1) (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)))))
(pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/3)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(neg.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))))
(*.f64 (fma.f64 y y (*.f64 (*.f64 -1/36 (pow.f64 x 4)) (*.f64 y y))) (/.f64 1 (+.f64 y (*.f64 x (*.f64 x (*.f64 y 1/6))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/36 (pow.f64 x 4)) 1) (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 y 1/6)) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 x 4))) (*.f64 y y)) (fma.f64 x (*.f64 (*.f64 y x) 1/6) y))
(neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y) 2))
(fabs.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 -1/6 y) (*.f64 x x) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 x x) (*.f64 -1/6 y) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 1 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 (*.f64 y x) x))) y)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 (*.f64 -1/6 (*.f64 y x)) x y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.7b
(/.f64 (sin.f64 x) (/.f64 x y))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

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 (sin.f64 x) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 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) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 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 (sin.f64 x) (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))))

simplify70.0ms (0.7%)

Algorithm
egg-herbie
Rules
1370×associate-*r/
936×associate-*l/
760×associate-/l*
740×associate-+l-
668×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01321352
13441316
213191316
362861316
Stop Event
node limit
Counts
66 → 62
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 (sin.f64 x) (/.f64 y x)))) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y)
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
Outputs
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 y (*.f64 x x)) y)
(fma.f64 (*.f64 x (*.f64 y -1/6)) 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 y (*.f64 x x)) y))
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (*.f64 x (*.f64 y -1/6)) 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 y (*.f64 x x)) y)))
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 (*.f64 x (*.f64 y -1/6)) 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 (*.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 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)
(*.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 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y 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 y x) (sin.f64 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(*.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) (neg.f64 x)) (neg.f64 y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 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 (sin.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 25 to 13 computations (48% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite75.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1472×associate-/l*
1462×associate-*r/
996×associate-*l/
974×*-commutative
444×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
120328
2264628
Stop Event
node limit
Counts
2 → 151
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sin.f64 x)) x)
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
Outputs
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simplify77.0ms (0.8%)

Algorithm
egg-herbie
Rules
1186×unswap-sqr
498×associate-/l*
438×distribute-rgt-in
430×distribute-lft-in
412×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03653437
19463377
234473373
Stop Event
node limit
Counts
187 → 202
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 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)))))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 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)
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 x (sin.f64 x)))) 1)
(/.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x))
(/.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) x))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 x 1) (sin.f64 x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))))
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 1 (/.f64 x 1)) (sin.f64 x))
(/.f64 (*.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) x) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (cbrt.f64 x)) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 x 1) 1) (sin.f64 x))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (/.f64 x (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (sin.f64 x) 3))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 x (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (neg.f64 y) (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 y) 1))
(*.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))
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(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))
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(*.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 x) (sin.f64 x))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))))
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(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x)) (/.f64 (sqrt.f64 y) x))
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(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (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 (sin.f64 x) (/.f64 y x))))
(*.f64 (/.f64 (/.f64 y x) 1) (sin.f64 x))
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(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (sin.f64 x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 y))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (/.f64 y 1) x) (sin.f64 x))
(*.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x 1)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 y x) -1) (neg.f64 (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 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) y) -1)
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.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 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 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))
(/.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 (*.f64 x x) y)))
(fma.f64 -1/6 (*.f64 (*.f64 x x) y) y)
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))))
(fma.f64 (*.f64 y 1/120) (pow.f64 x 4) (fma.f64 -1/6 (*.f64 (*.f64 x x) y) y))
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 (*.f64 y 1/120) (pow.f64 x 4) (fma.f64 -1/6 (*.f64 (*.f64 x x) y) y)))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 x (sin.f64 x)))) 1)
(/.f64 x (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 x (sin.f64 x))
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 x (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))))
(/.f64 x (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) -1/2) 1) (/.f64 x (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(/.f64 x (sin.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 x (sin.f64 x))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 x))))
(/.f64 x (sin.f64 x))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x))))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) x))
(/.f64 x (sin.f64 x))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (/.f64 (fabs.f64 (cbrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 x (sin.f64 x))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x))))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 1 (cbrt.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 x 1) (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 1 (/.f64 x 1)) (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x)))
(/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x))))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) -1))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (neg.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 x (/.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) x) (cbrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 x)) (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x)) (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (cbrt.f64 x)) (sqrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (/.f64 x 1) 1) (sin.f64 x))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
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(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
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eval295.0ms (3.1%)

Compiler

Compiled 16497 to 7736 computations (53.1% saved)

prune225.0ms (2.4%)

Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New9058913
Fresh178
Picked011
Done099
Total90625931
Error
0b
Counts
931 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
17.3b
(/.f64 (*.f64 y (sin.f64 x)) x)
46.6b
(/.f64 (*.f64 y x) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
30.3b
(/.f64 (sinh.f64 y) 1)
2.1b
(/.f64 (sin.f64 x) (/.f64 x y))
2.0b
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
2.2b
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
2.2b
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x))
1.5b
(/.f64 y (/.f64 x (sin.f64 x)))
1.6b
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
30.9b
(/.f64 y (*.f64 (/.f64 1 x) x))
16.1b
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
45.1b
(-.f64 (+.f64 1 y) 1)
32.0b
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
32.0b
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))
1.5b
(*.f64 (/.f64 y x) (sin.f64 x))
17.1b
(*.f64 (/.f64 y x) x)
0.2b
(*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y))
17.3b
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
46.6b
(*.f64 (/.f64 1 x) (*.f64 y x))
1.5b
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
17.2b
(*.f64 x (*.f64 y (/.f64 1 x)))
42.6b
(sqrt.f64 (*.f64 y y))
30.8b
y
Compiler

Compiled 372 to 254 computations (31.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 25 to 10 computations (60% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite79.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1492×associate-/r*
1326×associate-*r/
968×*-commutative
952×associate-/l*
938×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
120528
2262028
Stop Event
node limit
Counts
2 → 210
Calls
Call 1
Inputs
(/.f64 1 (/.f64 x (sin.f64 x)))
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
Outputs
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simplify101.0ms (1.1%)

Algorithm
egg-herbie
Rules
1180×associate-/l*
884×distribute-rgt-in
872×distribute-lft-in
820×associate-/l/
554×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05236308
113926086
259596086
Stop Event
node limit
Counts
246 → 295
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 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (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)
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 (sin.f64 x) x))) 1)
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(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
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(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
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(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
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(exp.f64 (-.f64 (log.f64 (sin.f64 x)) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)
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(/.f64 (cbrt.f64 y) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x))) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x))) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x))))
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(/.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x))) (sqrt.f64 (sqrt.f64 y))))
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(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
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(/.f64 (*.f64 1 (/.f64 y x)) (/.f64 1 (sin.f64 x)))
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(/.f64 (/.f64 (*.f64 y -1) (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 y -1) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 y -1) -1) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 y -1) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 y -1) (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 y -1) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 y -1) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y 1) 1) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 y 1) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y 1) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (sqrt.f64 x) 1)) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y x) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y x) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x))))) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 y) 1) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 y) -1) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 y) (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
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))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (*.f64 (*.f64 -1/6 x) x)))
(+.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 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) 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))
(/.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 (*.f64 x x) y)))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))))
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)))
(/.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 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(/.f64 (sin.f64 x) x)
(*.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (sin.f64 x)) -1))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))
(/.f64 (sin.f64 x) x)
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 -1 (neg.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.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)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(/.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 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.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 (sin.f64 x) x)
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(/.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 (/.f64 (sin.f64 x) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.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 (/.f64 (sin.f64 x) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (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 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 1 x))
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -1))
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 1) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x)))
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(/.f64 (/.f64 (neg.f64 y) -1) (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 y) (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))))
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)
(*.f64 (sin.f64 x) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 y x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (sin.f64 x) (/.f64 y x))

localize4.0ms (0%)

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)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite48.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1394×add-sqr-sqrt
1382×*-un-lft-identity
1286×add-cube-cbrt
1264×add-cbrt-cube
1252×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112613
2169813
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x))))))))

simplify44.0ms (0.5%)

Algorithm
egg-herbie
Rules
1154×associate-*r*
1070×times-frac
960×associate-*l*
816×associate-+l+
764×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05946
114046
257646
3608146
Stop Event
node limit
Counts
46 → 23
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 (*.f64 x (/.f64 y x))) 1)
(/.f64 y (/.f64 x x))
(/.f64 x (/.f64 x y))
(/.f64 1 (/.f64 x (*.f64 y x)))
(/.f64 (*.f64 y x) x)
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y x) 1) x)
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))
(pow.f64 (*.f64 x (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x))))
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 (*.f64 x (/.f64 y x))) 1)
y
(/.f64 y (/.f64 x x))
y
(/.f64 x (/.f64 x y))
y
(/.f64 1 (/.f64 x (*.f64 y x)))
y
(/.f64 (*.f64 y x) x)
y
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 x))
y
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))
y
(/.f64 (/.f64 (*.f64 y x) 1) x)
y
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x))
y
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
y
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))
y
(pow.f64 (*.f64 x (/.f64 y x)) 1)
y
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)
y
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)
y
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)
y
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))
y
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x))
y
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))
y
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))
y
(exp.f64 (log.f64 (*.f64 x (/.f64 y x))))
y
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))
y
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x))))
y

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
16.0b
(*.f64 (/.f64 1 x) (*.f64 y x))
Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1556×add-sqr-sqrt
1540×*-un-lft-identity
1432×add-cube-cbrt
1406×add-cbrt-cube
1390×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
116013
2196713
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x))))))))

simplify44.0ms (0.5%)

Algorithm
egg-herbie
Rules
1274×associate-*l*
1022×times-frac
888×associate-+l+
884×associate-/l*
846×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06548
115348
265148
3612648
Stop Event
node limit
Counts
48 → 25
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 (*.f64 x (/.f64 y x))) 1)
(/.f64 1 (/.f64 x (*.f64 x y)))
(/.f64 x (/.f64 x y))
(/.f64 y (/.f64 x x))
(/.f64 (*.f64 x y) x)
(/.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x y) 1) x)
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 x))
(pow.f64 (*.f64 x (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))
(log.f64 (exp.f64 (*.f64 x (/.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x))))
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 (*.f64 x (/.f64 y x))) 1)
y
(/.f64 1 (/.f64 x (*.f64 x y)))
y
(/.f64 x (/.f64 x y))
y
(/.f64 y (/.f64 x x))
y
(/.f64 (*.f64 x y) x)
y
(/.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y))))
y
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y))))
y
(/.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x))
y
(/.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x))
y
(/.f64 (/.f64 (*.f64 x y) 1) x)
y
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))
y
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
y
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 x))
y
(pow.f64 (*.f64 x (/.f64 y x)) 1)
y
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)
y
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)
y
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)
y
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))
y
(log.f64 (exp.f64 (*.f64 x (/.f64 y x))))
y
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))
y
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))
y
(exp.f64 (log.f64 (*.f64 x (/.f64 y x))))
y
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))
y
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x))))
y

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
0.1b
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
0.2b
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)
0.3b
(*.f64 1/6 x)
Compiler

Compiled 39 to 26 computations (33.3% saved)

series5.0ms (0.1%)

Counts
4 → 27
Calls

15 calls:

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

rewrite89.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1410×associate-/l*
794×swap-sqr
636×distribute-rgt-in
606×distribute-lft-in
528×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01170
123970
2324370
Stop Event
node limit
Counts
4 → 191
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x)))))))
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simplify105.0ms (1.1%)

Algorithm
egg-herbie
Rules
812×associate-*r*
762×associate-/r*
704×+-commutative
664×associate-*l*
610×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04926852
113656508
270786504
Stop Event
node limit
Counts
218 → 289
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1/216 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(*.f64 6 (/.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))))
(*.f64 6 (/.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))))
(/.f64 1 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1)
(pow.f64 (*.f64 1/6 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))
(cbrt.f64 (pow.f64 (*.f64 1/6 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)))
(+.f64 (*.f64 (*.f64 1/6 x) x) (*.f64 (/.f64 1 x) x))
(+.f64 (*.f64 x (*.f64 1/6 x)) (*.f64 x (/.f64 1 x)))
(+.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (*.f64 1/6 x)))
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(/.f64 (sqrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (sqrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)))) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))
(/.f64 (-.f64 (*.f64 1/46656 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 x -3) (pow.f64 x -3))) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (-.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))))
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 -1/36 (*.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) x) 1/1296) (*.f64 (pow.f64 x -2) (pow.f64 x -2))) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 1/6 x) 3) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (+.f64 (*.f64 1/46656 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (pow.f64 (*.f64 1/6 x) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/36 (*.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) x) 1/1296) (*.f64 (pow.f64 x -2) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x))))))
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x))
(fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x))
Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
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 x (*.f64 x y)) y)
(+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(fma.f64 1/36 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))
(fma.f64 1/36 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y))
(+.f64 (*.f64 -1/216 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(fma.f64 -1/216 (*.f64 y (pow.f64 x 6)) (fma.f64 1/36 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))))
(fma.f64 -1/216 (*.f64 y (pow.f64 x 6)) (fma.f64 1/36 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)))
(*.f64 6 (/.f64 y (pow.f64 x 2)))
(/.f64 (*.f64 6 y) (*.f64 x x))
(*.f64 6 (/.f64 (/.f64 y x) x))
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))
(fma.f64 6 (/.f64 y (*.f64 x x)) (*.f64 -36 (/.f64 y (pow.f64 x 4))))
(fma.f64 6 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y -36) (pow.f64 x 4)))
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(fma.f64 6 (/.f64 y (*.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4))))
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 y (*.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (*.f64 -36 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4)))))
(*.f64 6 (/.f64 y (pow.f64 x 2)))
(/.f64 (*.f64 6 y) (*.f64 x x))
(*.f64 6 (/.f64 (/.f64 y x) x))
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))
(fma.f64 6 (/.f64 y (*.f64 x x)) (*.f64 -36 (/.f64 y (pow.f64 x 4))))
(fma.f64 6 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y -36) (pow.f64 x 4)))
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(fma.f64 6 (/.f64 y (*.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4))))
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 y (*.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (*.f64 -36 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4)))))
(/.f64 1 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1)
(*.f64 1/6 x)
(pow.f64 (*.f64 1/6 x) 1)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(*.f64 1/6 x)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(*.f64 1/6 x)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(sqrt.f64 (*.f64 x (*.f64 x 1/36)))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(*.f64 1/6 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))
(*.f64 1/6 x)
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1))
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(+.f64 (*.f64 (*.f64 1/6 x) x) (*.f64 (/.f64 1 x) x))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 x (*.f64 1/6 x)) (*.f64 x (/.f64 1 x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (*.f64 1/6 x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/6 x) x))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 1 (*.f64 (*.f64 1/6 x) x)) (*.f64 1 (*.f64 (/.f64 1 x) x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 1 (*.f64 (/.f64 1 x) x)) (*.f64 1 (*.f64 (*.f64 1/6 x) x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 1 (*.f64 x (*.f64 1/6 x))) (*.f64 1 (*.f64 x (/.f64 1 x))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 1 (*.f64 x (/.f64 1 x))) (*.f64 1 (*.f64 x (*.f64 1/6 x))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 (*.f64 (*.f64 1/6 x) x) 1) (*.f64 (*.f64 (/.f64 1 x) x) 1))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 (*.f64 (/.f64 1 x) x) 1) (*.f64 (*.f64 (*.f64 1/6 x) x) 1))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) 1) (*.f64 (*.f64 x (/.f64 1 x)) 1))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 (*.f64 x (/.f64 1 x)) 1) (*.f64 (*.f64 x (*.f64 1/6 x)) 1))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 x (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 1 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (sqrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (sqrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x)))
(/.f64 (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)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) x))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x))) x)
(*.f64 x (/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (*.f64 x -1/6) (/.f64 -1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) x))
(*.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) x)
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 1/216 (pow.f64 x 4))) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)))
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 x -1/2)) (sqrt.f64 x))
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(*.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (fma.f64 1/6 x (/.f64 -1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)))) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))
(*.f64 (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (/.f64 (cbrt.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)) (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)))) (fma.f64 1/6 x (/.f64 -1 x))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))))))
(/.f64 (-.f64 (*.f64 1/46656 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 x -3) (pow.f64 x -3))) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (-.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/46656) (pow.f64 x -6)) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))))) (-.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/6 x) 6) (pow.f64 x -6)) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))) (-.f64 (*.f64 (pow.f64 x 3) 1/216) (pow.f64 x -3)))
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 -1/36 (*.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/36)) (+.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) x) 1/1296) (*.f64 (pow.f64 x -2) (pow.f64 x -2))) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/1296) (pow.f64 x -4)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 1/36 (*.f64 x x) (pow.f64 x -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/1296) (pow.f64 x -4)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 (*.f64 x x) 1/36 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 1/6 x) 3) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (+.f64 (*.f64 1/46656 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (pow.f64 (*.f64 1/6 x) 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/216 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))))) (fma.f64 1/46656 (pow.f64 x 6) (*.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (*.f64 1/216 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/216) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)) (fma.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 1/216)) (pow.f64 (*.f64 1/6 x) 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/36 (*.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) x) 1/1296) (*.f64 (pow.f64 x -2) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/46656 (pow.f64 (*.f64 x x) 3)) (pow.f64 (pow.f64 x -2) 3)) (fma.f64 1/6 x (/.f64 -1 x))) (fma.f64 (pow.f64 x 4) 1/1296 (*.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/6 x) 6) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 (pow.f64 x -2) (fma.f64 (*.f64 x x) 1/36 (pow.f64 x -2)) (*.f64 (pow.f64 x 4) 1/1296))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (*.f64 x -1/6) (/.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)))
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(fma.f64 1/6 x (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)
(fma.f64 1/6 x (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3)
(fma.f64 1/6 x (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3)
(fma.f64 1/6 x (/.f64 1 x))
(neg.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (*.f64 x -1/6) (/.f64 -1 x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)))
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2))
(fabs.f64 (fma.f64 1/6 x (/.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(fma.f64 1/6 x (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3))
(fma.f64 1/6 x (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1))
(fma.f64 1/6 x (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 1 y) x)
0.7b
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
Compiler

Compiled 23 to 13 computations (43.5% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
y
@0
(*.f64 (/.f64 1 y) x)
1.0ms
x
@-inf
(*.f64 (/.f64 1 y) x)
0.0ms
x
@0
(*.f64 (/.f64 1 y) x)
0.0ms
y
@-inf
(*.f64 (/.f64 1 y) x)
0.0ms
x
@inf
(*.f64 (/.f64 1 y) x)

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1474×associate-/l*
1460×associate-*r/
992×associate-*l/
966×*-commutative
438×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
120324
2264624
Stop Event
node limit
Counts
2 → 151
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(*.f64 (/.f64 1 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x y)))))))

simplify69.0ms (0.7%)

Algorithm
egg-herbie
Rules
1056×*-commutative
898×unswap-sqr
488×associate-/l*
458×log-prod
388×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03543057
19303001
233452997
Stop Event
node limit
Counts
199 → 197
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 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (/.f64 1 (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(*.f64 (/.f64 1 (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) y) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 y)) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) y)
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y -1/2)) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 x)) (sqrt.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x y)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 1 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) x) y)
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 y x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x 1)) y)
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 x)) (cbrt.f64 y))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) 1)
(/.f64 x y)
(/.f64 1 (/.f64 y x))
(/.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 (/.f64 x y) 1)
(/.f64 (pow.f64 y -1/2) (/.f64 1 (/.f64 x (sqrt.f64 y))))
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 1 (sqrt.f64 (/.f64 x y))))
(/.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 y (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (/.f64 x (cbrt.f64 y))))
(/.f64 (cbrt.f64 (/.f64 x y)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 1 (cbrt.f64 (/.f64 x y))))
(/.f64 (cbrt.f64 x) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 y (cbrt.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 y) x))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 y (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (/.f64 1 (cbrt.f64 y))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 x 1) y)
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (/.f64 x (cbrt.f64 y))))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 y))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 y))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 (/.f64 x y))))
(/.f64 (*.f64 x (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 1 (/.f64 x 1)) y)
(/.f64 (*.f64 1 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 x)) y)
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x)) y)
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (cbrt.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 x 1) 1) y)
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 y))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (/.f64 x y) 1)
(pow.f64 (sqrt.f64 (/.f64 x y)) 2)
(pow.f64 (cbrt.f64 (/.f64 x y)) 3)
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) 2))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
Outputs
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 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 (*.f64 -1/6 y) (*.f64 x x))))
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x 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 y (*.f64 x x)) y)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (sqrt.f64 (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))
(*.f64 y (/.f64 (sin.f64 x) x))
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(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 x y)
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 x y)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 x y)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (/.f64 x y) 1)
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) 2)
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) 3)
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) 2))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) 3))
(/.f64 x y)
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 x 3)))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)

eval205.0ms (2.2%)

Compiler

Compiled 13558 to 6762 computations (50.1% saved)

prune182.0ms (1.9%)

Pruning

30 alts after pruning (16 fresh and 14 done)

PrunedKeptTotal
New8827889
Fresh1910
Picked011
Done11314
Total88430914
Error
0b
Counts
914 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
17.3b
(/.f64 (*.f64 y (sin.f64 x)) x)
46.6b
(/.f64 (*.f64 y x) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
30.3b
(/.f64 (sinh.f64 y) 1)
2.1b
(/.f64 (sin.f64 x) (/.f64 x y))
2.0b
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
2.2b
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
2.2b
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x))
1.5b
(/.f64 y (/.f64 x (sin.f64 x)))
1.6b
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
30.9b
(/.f64 y (*.f64 (/.f64 1 x) x))
46.6b
(/.f64 y (*.f64 (*.f64 1/6 x) x))
46.6b
(/.f64 y (*.f64 1/6 (*.f64 x x)))
16.5b
(/.f64 x (/.f64 x y))
46.6b
(/.f64 1 (/.f64 x (*.f64 y x)))
45.1b
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
45.1b
(-.f64 (+.f64 1 y) 1)
32.0b
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
32.0b
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))
1.5b
(*.f64 (/.f64 y x) (sin.f64 x))
17.1b
(*.f64 (/.f64 y x) x)
0.2b
(*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y))
16.2b
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y))
17.3b
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
46.6b
(*.f64 (/.f64 1 x) (*.f64 y x))
1.5b
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
46.4b
(*.f64 6 (/.f64 (/.f64 y x) x))
42.6b
(sqrt.f64 (*.f64 y y))
30.8b
y
Compiler

Compiled 281 to 192 computations (31.7% saved)

regimes114.0ms (1.2%)

Counts
39 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 x (/.f64 x y))
(/.f64 (*.f64 y x) x)
(*.f64 6 (/.f64 (/.f64 y x) x))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(/.f64 y (*.f64 1/6 (*.f64 x x)))
(/.f64 y (*.f64 (*.f64 1/6 x) x))
(/.f64 y (*.f64 (/.f64 1 x) x))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y))
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x))
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x))
(*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y))
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
Outputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
Calls

4 calls:

59.0ms
x
18.0ms
(sinh.f64 y)
17.0ms
y
11.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
0.1b1(sinh.f64 y)
Compiler

Compiled 319 to 153 computations (52% saved)

regimes148.0ms (1.6%)

Counts
33 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 x (/.f64 x y))
(/.f64 (*.f64 y x) x)
(*.f64 6 (/.f64 (/.f64 y x) x))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(/.f64 y (*.f64 1/6 (*.f64 x x)))
(/.f64 y (*.f64 (*.f64 1/6 x) x))
(/.f64 y (*.f64 (/.f64 1 x) x))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y))
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x))
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
Calls

3 calls:

113.0ms
(sinh.f64 y)
15.0ms
y
14.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(sinh.f64 y)
Compiler

Compiled 254 to 124 computations (51.2% saved)

regimes84.0ms (0.9%)

Counts
30 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 x (/.f64 x y))
(/.f64 (*.f64 y x) x)
(*.f64 6 (/.f64 (/.f64 y x) x))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(/.f64 y (*.f64 1/6 (*.f64 x x)))
(/.f64 y (*.f64 (*.f64 1/6 x) x))
(/.f64 y (*.f64 (/.f64 1 x) x))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y))
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x))
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
Outputs
(/.f64 y (/.f64 x (sin.f64 x)))
Calls

3 calls:

39.0ms
x
26.0ms
(sinh.f64 y)
13.0ms
y
Results
ErrorSegmentsBranch
1.5b1x
1.5b1y
1.5b1(sinh.f64 y)
Compiler

Compiled 233 to 118 computations (49.4% saved)

regimes35.0ms (0.4%)

Counts
21 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 x (/.f64 x y))
(/.f64 (*.f64 y x) x)
(*.f64 6 (/.f64 (/.f64 y x) x))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(/.f64 y (*.f64 1/6 (*.f64 x x)))
(/.f64 y (*.f64 (*.f64 1/6 x) x))
(/.f64 y (*.f64 (/.f64 1 x) x))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y))
(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:

11.0ms
x
10.0ms
(sinh.f64 y)
10.0ms
y
Results
ErrorSegmentsBranch
1.5b1x
1.5b1y
1.5b1(sinh.f64 y)
Compiler

Compiled 157 to 85 computations (45.9% saved)

regimes69.0ms (0.7%)

Counts
20 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 x (/.f64 x y))
(/.f64 (*.f64 y x) x)
(*.f64 6 (/.f64 (/.f64 y x) x))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(/.f64 y (*.f64 1/6 (*.f64 x x)))
(/.f64 y (*.f64 (*.f64 1/6 x) x))
(/.f64 y (*.f64 (/.f64 1 x) x))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y))
(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:

46.0ms
(sinh.f64 y)
10.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
16.1b1x
16.1b1y
16.1b1(sinh.f64 y)
Compiler

Compiled 151 to 83 computations (45% saved)

regimes19.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 x (/.f64 x y))
(/.f64 (*.f64 y x) x)
(*.f64 6 (/.f64 (/.f64 y x) x))
(*.f64 x (*.f64 y (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(/.f64 y (*.f64 1/6 (*.f64 x x)))
(/.f64 y (*.f64 (*.f64 1/6 x) x))
(/.f64 y (*.f64 (/.f64 1 x) x))
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
Outputs
(/.f64 x (/.f64 x y))
Calls

2 calls:

8.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
16.5b1x
16.5b1y
Compiler

Compiled 114 to 58 computations (49.1% saved)

regimes9.0ms (0.1%)

Accuracy

Total -42.7b remaining (-249.9%)

Threshold costs -42.7b (-249.9%)

Counts
3 → 1
Calls
Call 1
Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
Outputs
(*.f64 (/.f64 y x) x)
Calls

2 calls:

5.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
17.1b1x
17.1b1y
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024134
132134
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 x (/.f64 x y))
(*.f64 (/.f64 y x) x)
y
Outputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 y (/.f64 x (sin.f64 x)))
(*.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 x (/.f64 x y))
(*.f64 (/.f64 y x) x)
(*.f64 x (/.f64 y x))
y
Compiler

Compiled 64 to 41 computations (35.9% saved)

soundness129.0ms (1.4%)

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 23 to 10 computations (56.5% saved)

end38.0ms (0.4%)

Compiler

Compiled 50 to 21 computations (58% saved)

Profiling

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