Details

Time bar (total: 9.2s)

analyze135.0ms (1.5%)

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

Compiled 10 to 7 computations (30% saved)

sample3.0s (32.6%)

Results
1.1s6971×body256valid
909.0ms2015×body1024infinite
300.0ms1032×body512infinite
286.0ms613×body1024valid
238.0ms1632×body256infinite
151.0ms671×body512valid
1.0msbody2048valid
Bogosity

preprocess59.0ms (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)

simplify56.0ms (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)

prune4.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New257
Fresh011
Picked000
Done000
Total268
Error
0.0b
Counts
8 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
14.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
0.6b
(/.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 90 to 60 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
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)

series9.0ms (0.1%)

Counts
4 → 44
Calls

15 calls:

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

rewrite136.0ms (1.5%)

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
0942
119342
2270842
Stop Event
node limit
Counts
4 → 181
Calls
Call 1
Inputs
(/.f64 x (sin.f64 x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(sinh.f64 y)
(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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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))))

simplify66.0ms (0.7%)

Algorithm
egg-herbie
Rules
1408×times-frac
1290×associate-*r*
1076×associate-*l*
868×associate-/l*
612×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04535135
111465093
Stop Event
node limit
Counts
225 → 262
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 (*.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))
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))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)
(*.f64 x (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(*.f64 1 (/.f64 x (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (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 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 x 1) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(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)
(pow.f64 (/.f64 (sin.f64 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (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) (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 (sinh.f64 y) x)))) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) 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))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.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))))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1))
(*.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))))
(-.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 (sinh.f64 y) 1)
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 y) 2)))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (cbrt.f64 (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 (neg.f64 (*.f64 (sinh.f64 y) 2)) -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 (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) (/.f64 (exp.f64 y) (exp.f64 y))))))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sinh.f64 y) 2))) -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 (neg.f64 (*.f64 (sinh.f64 y) 2)) 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 (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) (/.f64 (exp.f64 y) (exp.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)
(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)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 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))))
(+.f64 (fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) (*.f64 31/15120 (pow.f64 x 6)))
(/.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 (*.f64 (sin.f64 x) (pow.f64 y 3)) 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)))
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(/.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 (neg.f64 (*.f64 (sinh.f64 y) 2)) 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 (sinh.f64 y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (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 (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) (/.f64 (exp.f64 y) (exp.f64 y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (/.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 1 (exp.f64 (-.f64 (neg.f64 y) y)))) 1/2))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (+.f64 1 (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)
(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)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite74.0ms (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
0932
118732
2247632
Stop Event
node limit
Counts
2 → 183
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.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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simplify103.0ms (1.1%)

Algorithm
egg-herbie
Rules
1066×associate-/l*
964×distribute-lft-in
954×distribute-rgt-in
700×associate-/l/
554×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05156443
113536317
259386317
Stop Event
node limit
Counts
211 → 279
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))))
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(/.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))))
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 x (*.f64 x -1/6))))
(+.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 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 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.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 (*.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 (/.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 (/.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 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(/.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 1 (/.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 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 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)
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(/.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 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.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 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (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 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.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) (neg.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.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) (neg.f64 (sinh.f64 y))) -1) 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) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sinh.f64 y) (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 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) 1) (sqrt.f64 x))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (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 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (cbrt.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 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (fabs.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 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) 1) (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))) (sqrt.f64 (cbrt.f64 x))) (sqrt.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))) (*.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 (sinh.f64 y) (cbrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (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))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite106.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
118732
2246632
Stop Event
node limit
Counts
2 → 164
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
Outputs
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(sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x)))))))

simplify100.0ms (1.1%)

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))))
(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 -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 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080)))))
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 (pow.f64 x 6) -1/10080))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) 1/2)))
(*.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))
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(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(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)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(sinh.f64 y)
0.0b
(/.f64 x (sinh.f64 y))
0.6b
(/.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))
0.0ms
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))

rewrite77.0ms (0.8%)

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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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))))))

simplify91.0ms (1%)

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))
(*.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 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)))))
(*.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 x y)
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(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
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(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
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(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(*.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)))))
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(*.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))))))
(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))) (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 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (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 (*.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)))))
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(*.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))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(sinh.f64 y)
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
14.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite73.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify79.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

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

eval298.0ms (3.2%)

Compiler

Compiled 24283 to 8747 computations (64% saved)

prune662.0ms (7.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1563101573
Fresh000
Picked011
Done314
Total1566121578
Error
0b
Counts
1578 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
14.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
15.5b
(/.f64 (*.f64 (sin.f64 x) y) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
34.1b
(/.f64 (sinh.f64 y) 1)
1.6b
(/.f64 (sin.f64 x) (/.f64 x y))
1.3b
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
1.1b
(/.f64 y (/.f64 x (sin.f64 x)))
0.8b
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
19.4b
(*.f64 (/.f64 (sinh.f64 y) x) x)
1.1b
(*.f64 (/.f64 (sin.f64 x) x) y)
35.2b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
Compiler

Compiled 210 to 142 computations (32.4% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 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 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
0.0ms
y
@0
(/.f64 1 (sinh.f64 y))
0.0ms
y
@0
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))

rewrite124.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
922×unswap-sqr
894×associate-/r/
772×swap-sqr
724×associate-/l/
442×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
123432
2324332
Stop Event
node limit
Counts
2 → 127
Calls
Call 1
Inputs
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (/.f64 1 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) 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y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))))))

simplify119.0ms (1.3%)

Algorithm
egg-herbie
Rules
1518×unswap-sqr
568×distribute-rgt-in
566×distribute-lft-in
480×*-commutative
422×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03744807
19684699
236264599
Stop Event
node limit
Counts
163 → 205
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))
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(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1))
(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 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (/.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 (/.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 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (*.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 (-.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y -1/6))
(fma.f64 y -1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (/.f64 1 y) (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y -1/6)))
(+.f64 (*.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 -31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 (pow.f64 y 3) 7/360))))
(+.f64 (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y -1/6)) (fma.f64 (pow.f64 y 5) -31/15120 (/.f64 1 y)))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) 1)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 x) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.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))
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 -1 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (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 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) (sqrt.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 (/.f64 (sin.f64 x) 1) (sinh.f64 y)) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 1 x) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (sinh.f64 y))) (/.f64 (cbrt.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 (sin.f64 x) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 1 (*.f64 (pow.f64 (sinh.f64 y) -1/2) x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 1 (*.f64 x (pow.f64 (sinh.f64 y) -1/2))))
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(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (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 (/.f64 -1 (sinh.f64 y)) -1)
(/.f64 1 (sinh.f64 y))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(*.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2)
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (neg.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)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (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 1 (cbrt.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2)
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2)
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (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 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2))
(/.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))))
(/.f64 1 (sinh.f64 y))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2))
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6))
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)))
(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 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3)
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)))
(pow.f64 (sinh.f64 y) -1)
(/.f64 1 (sinh.f64 y))
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(/.f64 1 (sinh.f64 y))
(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 (/.f64 1 (pow.f64 (sinh.f64 y) 3)))
(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))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1))
(/.f64 1 (sinh.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1))
(/.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)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.0b
(/.f64 (sinh.f64 y) x)
15.4b
(*.f64 (/.f64 (sinh.f64 y) x) x)
Compiler

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite90.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1846×add-sqr-sqrt
1830×*-un-lft-identity
1702×add-cube-cbrt
1674×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116817
2224117
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))))))

simplify60.0ms (0.6%)

Algorithm
egg-herbie
Rules
1374×associate-*r*
1140×associate-*l*
1076×times-frac
1062×associate-+r+
774×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081853
1190703
2709663
37281663
Stop Event
node limit
Counts
47 → 39
Calls
Call 1
Inputs
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 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 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 x (/.f64 (sinh.f64 y) x)))) 1)
(/.f64 (sinh.f64 y) (/.f64 x x))
(/.f64 x (/.f64 x (sinh.f64 y)))
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) x)))
(/.f64 (*.f64 (sinh.f64 y) x) x)
(/.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) x) 1) x)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) x)) (neg.f64 x))
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sinh.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))
Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.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)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) 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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) x)))) 1)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (sinh.f64 y) (/.f64 x x))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 x (/.f64 x (sinh.f64 y)))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) x)))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) x) x)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 x))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 x))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) x) 1) x)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) x)) (neg.f64 x))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 1)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 2)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 3)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 3) 1/3)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 2))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) x)))))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) 3))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(exp.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) x))) 1))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) x))))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.6b
(/.f64 (sin.f64 x) (/.f64 x y))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite114.0ms (1.2%)

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))))))))

simplify66.0ms (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))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.2b
(*.f64 -1/6 (*.f64 x x))
7.0b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
Compiler

Compiled 33 to 17 computations (48.5% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite76.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1048×*-commutative
776×unswap-sqr
736×associate-*r/
640×swap-sqr
556×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
124538
2302738
Stop Event
node limit
Counts
2 → 86
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
(*.f64 -1/6 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (*.f64 1 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (*.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y))) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) 1) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) (-.f64 1 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/6))) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/36) (+.f64 1 (*.f64 (*.f64 x x) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x))))))))

simplify78.0ms (0.8%)

Algorithm
egg-herbie
Rules
1762×associate-*r/
1422×associate-/l*
1074×associate-/l/
966×associate-/r/
748×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02825206
17604810
228964570
Stop Event
node limit
Counts
122 → 153
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 -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 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(*.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 -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 -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 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(*.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 -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 -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 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)))
(+.f64 (*.f64 1/5040 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 (sinh.f64 y) (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)))
(+.f64 (sinh.f64 y) (*.f64 1 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))
(+.f64 (sinh.f64 y) (*.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) 1))
(+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (sinh.f64 y))
(+.f64 (*.f64 1 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y))) (sinh.f64 y))
(+.f64 (*.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) 1) (sinh.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) (-.f64 1 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)))) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (-.f64 (/.f64 (exp.f64 (neg.f64 y)) 2) (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))
(-.f64 (+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (exp.f64 (log1p.f64 (sinh.f64 y)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (/.f64 (exp.f64 y) 2)) (/.f64 (exp.f64 (neg.f64 y)) 2))
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (/.f64 1 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 1 (fma.f64 -1/6 (*.f64 x x) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) (sinh.f64 y)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 1/6))) (*.f64 (sinh.f64 y) 2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (/.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6))) (sinh.f64 y)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (/.f64 (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))) (*.f64 (sinh.f64 y) 2)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (fma.f64 -1/6 (*.f64 x x) 1)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 1/6))) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))))
(/.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (sinh.f64 y) 2)) 2)
(/.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))) (+.f64 1 (*.f64 (*.f64 x x) 1/6)))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (*.f64 (sinh.f64 y) 2)) (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (*.f64 (sinh.f64 y) 2)) (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (*.f64 1 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 (*.f64 1 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)))) (+.f64 1 (*.f64 (*.f64 x x) 1/6)))
(/.f64 (*.f64 1 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)))) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (*.f64 1 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (*.f64 (sinh.f64 y) 2))) (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (*.f64 1 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (*.f64 (sinh.f64 y) 2))) (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 -2 (sinh.f64 y))) -2)
(/.f64 (*.f64 (sinh.f64 y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) 1)) (-.f64 (*.f64 -1/6 (*.f64 x x)) 1))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 x 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)))) (+.f64 -1 (neg.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (*.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) 1) (sinh.f64 y)) (-.f64 (*.f64 -1/6 (*.f64 x x)) 1))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (*.f64 (pow.f64 x 4) -1/36))) (sinh.f64 y)) (+.f64 -1 (neg.f64 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (sinh.f64 y)) (+.f64 -1 (neg.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (fma.f64 -1/6 (*.f64 x x) 1)) -2)
(/.f64 (*.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (sinh.f64 y) 2)) 1) 2)
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))) 1) (+.f64 1 (*.f64 (*.f64 x x) 1/6)))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) 1) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (*.f64 (sinh.f64 y) 2)) 1) (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (*.f64 (sinh.f64 y) 2)) 1) (+.f64 2 (*.f64 2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (*.f64 (sinh.f64 y) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))) (*.f64 (sinh.f64 y) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))) 1) (+.f64 1 (*.f64 (*.f64 x x) 1/6)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6))))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) 1) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) 1/6)))))
(pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (fma.f64 -1/6 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 -1/6 (*.f64 x x)) 1))
(+.f64 (*.f64 -1/6 (*.f64 x x)) 0)
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/6))) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/36) (+.f64 1 (*.f64 (*.f64 x x) 1/6))) 1))
(pow.f64 (*.f64 -1/6 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x 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 (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 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(*.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 (*.f64 x x) -1/12))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(*.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 (*.f64 x x) -1/12))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)))))
(*.f64 (sinh.f64 y) (fma.f64 -1/6 (*.f64 x x) 1))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y)) 3))
(*.f64 (sinh.f64 y) (fma.f64 -1/6 (*.f64 x x) 1))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3)))
(*.f64 (sinh.f64 y) (fma.f64 -1/6 (*.f64 x x) 1))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y))))
(*.f64 (sinh.f64 y) (fma.f64 -1/6 (*.f64 x x) 1))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y))))
(*.f64 (sinh.f64 y) (fma.f64 -1/6 (*.f64 x x) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sinh.f64 y))))
(*.f64 (sinh.f64 y) (fma.f64 -1/6 (*.f64 x x) 1))
(+.f64 1 (-.f64 (*.f64 -1/6 (*.f64 x x)) 1))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(+.f64 (*.f64 -1/6 (*.f64 x x)) 0)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) -2)
(+.f64 -2 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/6))) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/36) (+.f64 1 (*.f64 (*.f64 x x) 1/6))) 1))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 x (*.f64 x 1/6)))) (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/36) (+.f64 1 (*.f64 x (*.f64 x 1/6))))))
(+.f64 (-.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/6) 1)) (/.f64 (*.f64 (pow.f64 x 4) 1/36) (fma.f64 x (*.f64 x 1/6) 1))) -1)
(+.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/6) 1)) (-.f64 -1 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) 1)) 1/36)))
(pow.f64 (*.f64 -1/6 (*.f64 x x)) 1)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3)
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/216))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x x)))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x))))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x))))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))

eval219.0ms (2.4%)

Compiler

Compiled 14450 to 7050 computations (51.2% saved)

prune196.0ms (2.1%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New8719880
Fresh055
Picked101
Done246
Total87418892
Error
0b
Counts
892 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
1.2b
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
14.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
15.5b
(/.f64 (*.f64 (sin.f64 x) y) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
1.6b
(/.f64 (sin.f64 x) (/.f64 x y))
1.3b
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
1.1b
(/.f64 y (/.f64 x (sin.f64 x)))
19.0b
(/.f64 x (/.f64 x y))
0.8b
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
35.6b
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
19.4b
(*.f64 (/.f64 (sinh.f64 y) x) x)
1.1b
(*.f64 (/.f64 (sin.f64 x) x) y)
19.8b
(*.f64 (/.f64 y x) x)
15.5b
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
35.4b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
35.6b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
34.1b
(sinh.f64 y)
34.5b
y
Compiler

Compiled 297 to 200 computations (32.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.1b
(/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y))
0.1b
(/.f64 (+.f64 x x) (sin.f64 x))
0.8b
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series6.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite94.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
924×unswap-sqr
874×swap-sqr
518×distribute-lft-neg-in
456×distribute-rgt-neg-in
374×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01277
127077
2403977
Stop Event
node limit
Counts
3 → 182
Calls
Call 1
Inputs
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
(/.f64 (+.f64 x x) (sin.f64 x))
(/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 x (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (sin.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sin.f64 x)) x) (*.f64 (/.f64 1 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (*.f64 x x))) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (+.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (*.f64 x x)) (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 2 (*.f64 x x)) 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simplify184.0ms (2%)

Algorithm
egg-herbie
Rules
1280×associate-/r/
1020×associate-*r*
896×associate-*l*
866×*-commutative
798×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04829472
114938984
261288984
Stop Event
node limit
Counts
242 → 324
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
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(/.f64 (*.f64 y (sin.f64 x)) x)
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
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(*.f64 2 (/.f64 x (sin.f64 x)))
(*.f64 2 (/.f64 x (sin.f64 x)))
(*.f64 2 (/.f64 x (sin.f64 x)))
(*.f64 2 (/.f64 x (sin.f64 x)))
(*.f64 2 (/.f64 x (sin.f64 x)))
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(*.f64 2 (/.f64 x (sin.f64 x)))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 4 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
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(*.f64 -2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))
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(*.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 2 (+.f64 x x)) (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))))) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))))))
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(*.f64 (neg.f64 (/.f64 2 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 1)) (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) 1)) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y)))) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))))
(pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))) -1)
(neg.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(log.f64 (/.f64 1 (exp.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (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 -1/12 (*.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))))
(+.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 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 (/.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 (-.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (/.f64 (sin.f64 x) x) y))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (*.f64 (/.f64 (sin.f64 x) x) y)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (fma.f64 1/5040 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (/.f64 (sin.f64 x) x) y))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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)))))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 (*.f64 x x) 1/3))
(fma.f64 (*.f64 x x) 1/3 2)
(+.f64 2 (+.f64 (*.f64 7/180 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 2 (fma.f64 7/180 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/3)))
(+.f64 2 (fma.f64 (*.f64 x x) 1/3 (*.f64 (pow.f64 x 4) 7/180)))
(+.f64 2 (+.f64 (*.f64 7/180 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 31/7560 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 7/180 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) (*.f64 (pow.f64 x 6) 31/7560))))
(+.f64 2 (fma.f64 (pow.f64 x 4) 7/180 (fma.f64 (*.f64 x x) 1/3 (*.f64 (pow.f64 x 6) 31/7560))))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) x))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) x))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) x))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) x))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) x))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) x))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) x))
(*.f64 2 (/.f64 x (sin.f64 x)))
(/.f64 2 (/.f64 (sin.f64 x) x))
(/.f64 4 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 4 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (*.f64 2/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 4 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(fma.f64 2/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 4 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (*.f64 7/90 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 2/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 4 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(fma.f64 7/90 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 2/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 4 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
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(/.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (sin.f64 x)) (sinh.f64 y))
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(neg.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 3) (/.f64 1 (sinh.f64 y))))
(/.f64 (neg.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (sin.f64 x))) (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (+.f64 x x) (*.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y))) (neg.f64 (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y))) (neg.f64 (/.f64 (+.f64 x x) (*.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (sin.f64 x))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) (/.f64 (pow.f64 (*.f64 2 (/.f64 x (cbrt.f64 (sin.f64 x)))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sinh.f64 y))) (/.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (/.f64 -2 (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (/.f64 -2 (sin.f64 x)) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (/.f64 -2 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (/.f64 -2 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 2 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) -2) (sinh.f64 y))
(/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sinh.f64 y) -2))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 1)) (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (sinh.f64 y)))
(neg.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 2) (/.f64 1 (sinh.f64 y))))
(neg.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 2 (sqrt.f64 (sin.f64 x)))) 2) (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (neg.f64 (/.f64 (+.f64 x x) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (sin.f64 x))))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sinh.f64 y)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 2 (sqrt.f64 (sin.f64 x)))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) 1)) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sinh.f64 y)))
(neg.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 3) (/.f64 1 (sinh.f64 y))))
(/.f64 (neg.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (sin.f64 x))) (sinh.f64 y))
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y)))) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y))) (neg.f64 (/.f64 (+.f64 x x) (*.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (sin.f64 x))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(*.f64 (/.f64 (pow.f64 (*.f64 2 (/.f64 x (cbrt.f64 (sin.f64 x)))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (neg.f64 (cbrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) 2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) 2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 2) (/.f64 1 (sinh.f64 y)))
(/.f64 (pow.f64 (*.f64 x (/.f64 2 (sqrt.f64 (sin.f64 x)))) 2) (sinh.f64 y))
(pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1)
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 3)
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 3) 1/3)
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(pow.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))) -1)
(/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))
(/.f64 (/.f64 1 (*.f64 2 (*.f64 x (sin.f64 x)))) (sinh.f64 y))
(neg.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) -2) (sinh.f64 y))
(/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sinh.f64 y) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) 2))
(fabs.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))
(log.f64 (exp.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(log.f64 (/.f64 1 (exp.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) -2) (sinh.f64 y))
(/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sinh.f64 y) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 3))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 3) (pow.f64 (sinh.f64 y) 3)))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(exp.f64 (log.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 1))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
15.4b
(*.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)

rewrite52.0ms (0.6%)

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))))))))

simplify49.0ms (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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(*.f64 -1/6 y)
7.1b
(*.f64 (*.f64 -1/6 y) (*.f64 x x))
Compiler

Compiled 27 to 13 computations (51.9% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

9 calls:

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

rewrite53.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify83.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

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

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite61.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify63.0ms (0.7%)

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))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.2b
(/.f64 (sin.f64 x) (/.f64 1 y))
14.5b
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite78.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1594×associate-/l*
1146×*-commutative
972×unswap-sqr
684×swap-sqr
538×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
123128
2314228
Stop Event
node limit
Counts
2 → 168
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(/.f64 (sin.f64 x) (/.f64 1 y))
Outputs
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simplify94.0ms (1%)

Algorithm
egg-herbie
Rules
1720×unswap-sqr
768×distribute-rgt-in
762×distribute-lft-in
586×associate-/r/
562×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04375640
111965402
239825396
Stop Event
node limit
Counts
216 → 279
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 y x)
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x))
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 1 (/.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (/.f64 1 x)))
(/.f64 1 (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 x) y))))
(/.f64 1 (/.f64 (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) y)) (sqrt.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)))
(/.f64 1 (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 1 (/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (/.f64 (/.f64 1 y) (sin.f64 x)))))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (sin.f64 x) (/.f64 (/.f64 x y) 1))
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 x)))
(/.f64 (sin.f64 x) (/.f64 (/.f64 x (neg.f64 y)) -1))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (sqrt.f64 y) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 y))))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (pow.f64 x -1/2)))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 y) (*.f64 (sin.f64 x) (pow.f64 x -1/2))))
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) y)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 x y) (/.f64 1 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) y))))
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (pow.f64 y -1/2)))
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (cbrt.f64 (pow.f64 x -2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 y) (*.f64 (sin.f64 x) (/.f64 1 (cbrt.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x y) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) y)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 x y) (/.f64 1 (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 x (/.f64 (/.f64 1 y) (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 x y) (sin.f64 x))))
(/.f64 -1 (/.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (/.f64 1 (neg.f64 x))))
(/.f64 -1 (/.f64 (/.f64 x (neg.f64 y)) (sin.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) y)))
(/.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (sin.f64 x))))
(/.f64 -1 (*.f64 x (/.f64 (/.f64 -1 y) (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 -1 y) (/.f64 1 x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 x (neg.f64 y)) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 x y) -1))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x y) -1))
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (/.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 1 y) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) y)) (sqrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (/.f64 x (neg.f64 y)) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (/.f64 -1 y))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) y)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (/.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (/.f64 x (neg.f64 y)) (cbrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) y)))
(/.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (/.f64 1 y) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 y))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) y)) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (pow.f64 y -1/2))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x (cbrt.f64 (pow.f64 y -2)))) (/.f64 1 (cbrt.f64 y)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (/.f64 x (*.f64 (sin.f64 x) (cbrt.f64 y))))
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (*.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (*.f64 x (pow.f64 y -1/2)))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) (*.f64 x (/.f64 1 (cbrt.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 x (neg.f64 y)) (sqrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (/.f64 x (neg.f64 y)) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 1 y) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) y)))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))) (/.f64 x (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 y -1/2)) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 y -2))) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))))
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (pow.f64 (sqrt.f64 x) -1)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -1) (/.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (pow.f64 (cbrt.f64 x) -1)))
(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)
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 -1 y)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 x)))
(neg.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) x))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))
(log.f64 (exp.f64 (*.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 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 (sin.f64 x) y) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1)
(*.f64 1 (*.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) y)
(*.f64 (*.f64 (sin.f64 x) y) 1)
(*.f64 (sqrt.f64 y) (*.f64 (sin.f64 x) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) y))
(*.f64 (cbrt.f64 y) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 y -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (cbrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) y))
(*.f64 y (sin.f64 x))
(*.f64 -1 (*.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 y))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) y) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) y) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y)))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) y) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 y -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 y)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) 1) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))))
(pow.f64 (*.f64 (sin.f64 x) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)
(pow.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) -1)
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y -2)) y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y)))
Outputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 (*.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))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 (sin.f64 x) y) 3)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.f64 x 3)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1)
(*.f64 y (sin.f64 x))
(*.f64 1 (*.f64 (sin.f64 x) y))
(*.f64 y (sin.f64 x))
(*.f64 (sin.f64 x) y)
(*.f64 y (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) y) 1)
(*.f64 y (sin.f64 x))
(*.f64 (sqrt.f64 y) (*.f64 (sin.f64 x) (sqrt.f64 y)))
(*.f64 y (sin.f64 x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) y))
(*.f64 y (sin.f64 x))
(*.f64 (cbrt.f64 y) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 y (sin.f64 x))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))
(*.f64 y (sin.f64 x))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 y -2))))
(*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 y -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (cbrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 y (cbrt.f64 (sin.f64 x))))
(*.f64 y (sin.f64 x))
(*.f64 -1 (*.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 y (sin.f64 x))
(*.f64 (neg.f64 y) (neg.f64 (sin.f64 x)))
(*.f64 y (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 y))
(*.f64 y (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 y (sin.f64 x))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) y) (sqrt.f64 (sin.f64 x)))
(*.f64 y (sin.f64 x))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) y) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 y (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)) (sqrt.f64 (sin.f64 x)))
(*.f64 y (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 y (sin.f64 x))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) y) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 y (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))
(*.f64 y (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) y))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 y (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 y -1/2) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 y -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 y -1/2) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 y -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 y)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 y (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 y (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 y (sin.f64 x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) 1) (sqrt.f64 y))
(*.f64 y (sin.f64 x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 y))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 -1)) (sqrt.f64 y)) (sqrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 -1 (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 (neg.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))))
(*.f64 y (sin.f64 x))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))))
(*.f64 y (sin.f64 x))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x))))))
(pow.f64 (*.f64 (sin.f64 x) y) 1)
(*.f64 y (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)
(*.f64 y (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)
(*.f64 y (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)
(*.f64 y (sin.f64 x))
(pow.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) -1)
(*.f64 y (sin.f64 x))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 y (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2))
(fabs.f64 (*.f64 y (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))
(*.f64 y (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))
(*.f64 y (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))
(*.f64 y (sin.f64 x))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y -2)) y))
(cbrt.f64 (*.f64 y (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y -2))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 y -2) y)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))

eval200.0ms (2.2%)

Compiler

Compiled 14770 to 6441 computations (56.4% saved)

prune198.0ms (2.1%)

Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New8859894
Fresh099
Picked101
Done178
Total88725912
Error
0b
Counts
912 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
1.2b
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
15.9b
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
14.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
15.5b
(/.f64 (*.f64 (sin.f64 x) y) x)
48.9b
(/.f64 (*.f64 y x) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
1.7b
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 x)))
1.6b
(/.f64 (sin.f64 x) (/.f64 x y))
1.3b
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
1.1b
(/.f64 y (/.f64 x (sin.f64 x)))
1.1b
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
19.0b
(/.f64 x (/.f64 x y))
1.7b
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
48.9b
(/.f64 1 (/.f64 x (*.f64 y x)))
43.9b
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
35.6b
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
19.4b
(*.f64 (/.f64 (sinh.f64 y) x) x)
1.1b
(*.f64 (/.f64 (sin.f64 x) x) y)
19.8b
(*.f64 (/.f64 y x) x)
48.9b
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))
48.9b
(*.f64 (/.f64 1 x) (*.f64 y x))
35.4b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
35.6b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
34.1b
(sinh.f64 y)
34.5b
y
Compiler

Compiled 403 to 276 computations (31.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite78.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify55.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite52.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1326×add-sqr-sqrt
1314×*-un-lft-identity
1232×add-cube-cbrt
1212×add-cbrt-cube
1202×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11311
219551
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 x (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 y 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 (/.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.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 x (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 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 x (/.f64 (neg.f64 x) y)))))) (#(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))))))

simplify48.0ms (0.5%)

Algorithm
egg-herbie
Rules
1574×associate-*r/
976×associate-/l*
944×associate-/r*
934×associate-*l/
682×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092265
1234241
21182241
36566241
Stop Event
node limit
Counts
59 → 43
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 x (/.f64 y x))
(*.f64 y 1)
(*.f64 1 y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y x)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 y x)))
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
(*.f64 (/.f64 y x) x)
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 x (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 x (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x 1) (/.f64 y x))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 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 x (/.f64 (neg.f64 x) y)))
(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 x (/.f64 y x))
y
(*.f64 y 1)
y
(*.f64 1 y)
y
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y x)))
y
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 y 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 (/.f64 y x) x)
y
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))
y
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))
y
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 x (sqrt.f64 (/.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.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 x (cbrt.f64 (/.f64 x y))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x 1) (/.f64 y x))
y
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 y))
y
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 y)))
y
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x y)))
y
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 x (cbrt.f64 (/.f64 x y))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
y
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x y)))
y
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 x (sqrt.f64 (/.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(/.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)))
(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 x (/.f64 (neg.f64 x) y)))
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 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/6 (*.f64 x x))
7.0b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
Compiler

Compiled 30 to 16 computations (46.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite64.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
120421
2249821
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 -1/6 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 1 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) y) (+.f64 1 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) y) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))))))

simplify67.0ms (0.7%)

Algorithm
egg-herbie
Rules
1694×fma-def
1002×associate-*r*
882×associate-*l*
584×log-prod
524×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0751073
11851045
25521029
331391029
469191029
Stop Event
node limit
Counts
45 → 37
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x))))
(+.f64 y (*.f64 (*.f64 -1/6 (*.f64 x x)) y))
(+.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)
(+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) y) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) 1)
(/.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 1 (*.f64 1/6 (*.f64 x x))))
(/.f64 (*.f64 y (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) y) (+.f64 1 (*.f64 1/6 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) y) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))
(pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 1)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
Outputs
y
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 x (*.f64 -1/6 (*.f64 y x)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 -1/6 (*.f64 y (pow.f64 x 2)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 x (*.f64 -1/6 (*.f64 y x)))
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 y (*.f64 (*.f64 -1/6 (*.f64 x x)) y))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) y) y)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) 1)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(/.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 1 (*.f64 1/6 (*.f64 x x))))
(/.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 1 (*.f64 (*.f64 x x) 1/6)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (/.f64 (fma.f64 (*.f64 x x) 1/6 1) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (*.f64 x 1/6) 1)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (/.f64 (fma.f64 x (*.f64 x 1/6) 1) y))
(/.f64 (*.f64 y (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))
(/.f64 y (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (*.f64 x x) 1/6))) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))))
(*.f64 (/.f64 y (+.f64 1 (fma.f64 (*.f64 x x) 1/6 (*.f64 (pow.f64 x 4) 1/36)))) (fma.f64 (pow.f64 x 6) -1/216 1))
(*.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (/.f64 y (fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 1/36 1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) y) (+.f64 1 (*.f64 1/6 (*.f64 x x))))
(/.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 1 (*.f64 (*.f64 x x) 1/6)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (/.f64 (fma.f64 (*.f64 x x) 1/6 1) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (*.f64 x 1/6) 1)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (/.f64 (fma.f64 x (*.f64 x 1/6) 1) y))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) y) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))
(/.f64 y (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (*.f64 x x) 1/6))) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))))
(*.f64 (/.f64 y (+.f64 1 (fma.f64 (*.f64 x x) 1/6 (*.f64 (pow.f64 x 4) 1/36)))) (fma.f64 (pow.f64 x 6) -1/216 1))
(*.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (/.f64 y (fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 1/36 1))))
(pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 1)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 2)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 3)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3) 1/3)
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 2))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 1)) y))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 1))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)
(fma.f64 x (*.f64 -1/6 (*.f64 y x)) y)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.1b
(*.f64 (sin.f64 x) y)
14.5b
(/.f64 (*.f64 (sin.f64 x) y) x)
Compiler

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite60.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify75.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.3b
(/.f64 (/.f64 1 y) (/.f64 1 x))
0.6b
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 x)))
Compiler

Compiled 30 to 19 computations (36.7% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite80.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1176×*-commutative
1072×associate-/r/
902×unswap-sqr
716×swap-sqr
688×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
123624
2327124
Stop Event
node limit
Counts
2 → 184
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 x)))
(/.f64 (/.f64 1 y) (/.f64 1 x))
Outputs
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simplify85.0ms (0.9%)

Algorithm
egg-herbie
Rules
754×distribute-rgt-in
738×distribute-lft-in
686×*-commutative
616×associate-*r*
560×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04265156
112584592
246524592
Stop Event
node limit
Counts
232 → 260
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) (/.f64 1 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.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 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (*.f64 (sin.f64 x) y)))
(*.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (sin.f64 x) y)))
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 y x) (/.f64 (sin.f64 x) 1))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y x)))
(*.f64 (neg.f64 y) (*.f64 (sin.f64 x) (/.f64 -1 x)))
(*.f64 (/.f64 -1 x) (*.f64 (/.f64 (sin.f64 x) -1) y))
(*.f64 (*.f64 (pow.f64 x -1/2) (*.f64 (sin.f64 x) y)) (pow.f64 x -1/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (sin.f64 x) y)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (*.f64 1 (sqrt.f64 (/.f64 y x))))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 y x))) (/.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) (pow.f64 y -1/2)) (*.f64 (/.f64 1 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 1 x) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) -1) y) (/.f64 -1 x))
(*.f64 (/.f64 (sin.f64 x) -1) (neg.f64 (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) y) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) y) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) 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) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) y))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) y) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.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 (neg.f64 (/.f64 y x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (/.f64 y x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 y x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 y -1/2)) (*.f64 (/.f64 1 x) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 1 x) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (/.f64 y x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 -1 y)) (/.f64 -1 x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) (sqrt.f64 x))) (pow.f64 x -1/2))
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x -2)) y))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x y)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) y) -1) (/.f64 -1 x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)) -1)
(*.f64 (/.f64 (*.f64 (sin.f64 x) y) (/.f64 1 (cbrt.f64 (pow.f64 x -2)))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 y)) (/.f64 -1 x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) 1) y)
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (pow.f64 y -1/2)) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) -1) (neg.f64 y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (/.f64 -1 y)) -1)
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (/.f64 1 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) x) y)
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 1 y) (sqrt.f64 x))) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x -2)) y))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) 1) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (pow.f64 y -1/2)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 -1 y))) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 1 (cbrt.f64 y))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 -1 y))) (cbrt.f64 (/.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 1 (sqrt.f64 (/.f64 y x)))) (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 1 (sqrt.f64 (/.f64 y x)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 x) -1) (sqrt.f64 (*.f64 (sin.f64 x) y))) (*.f64 (pow.f64 (sqrt.f64 x) -1) (sqrt.f64 (*.f64 (sin.f64 x) y))))
(*.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 y -1/2))) (*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 y -1/2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 y -1/2))) (*.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 y -1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (sqrt.f64 x) -1)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (sqrt.f64 x) -1)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 y -1/2)) (pow.f64 (sqrt.f64 x) -1)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 y -1/2)) (pow.f64 (sqrt.f64 x) -1)))
(*.f64 (*.f64 (*.f64 1 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (sin.f64 x))) (*.f64 (*.f64 1 (sqrt.f64 (/.f64 y x))) (sqrt.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 y) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 y))))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 y x))))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 y))) 1))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.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 1 (/.f64 x y))
(*.f64 (/.f64 1 y) x)
(*.f64 (/.f64 x y) 1)
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) x))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y)))))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x y)))))
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 x (/.f64 1 y))
(*.f64 -1 (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 -1 y))
(*.f64 (/.f64 x (neg.f64 y)) -1)
(*.f64 (/.f64 -1 y) (neg.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 y))) (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (neg.f64 y))) (cbrt.f64 (/.f64 x (neg.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 x (neg.f64 y)))))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 y -1/2) x) (pow.f64 y -1/2))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 y)) x) (cbrt.f64 (pow.f64 y -2)))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 1 y) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 1 y) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (neg.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 x -2))) (*.f64 (pow.f64 y -1/2) (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 y -1/2) (cbrt.f64 x)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 1 (*.f64 (/.f64 1 x) (cbrt.f64 y))))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 x) (cbrt.f64 y))) (/.f64 (cbrt.f64 (pow.f64 y -2)) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 x -1/2)) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 y -2)))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 x)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y -1/2))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x -2)) y)) 1) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x -2)) y)) -1) (cbrt.f64 (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 y)))) (sqrt.f64 (/.f64 x (neg.f64 y))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (neg.f64 y))) (cbrt.f64 (/.f64 x (neg.f64 y))))) (cbrt.f64 (/.f64 x (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 x y)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 y) -1) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 y) -1) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (cbrt.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (cbrt.f64 (/.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 y) -1)) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 y) -1)))
(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)
(pow.f64 (/.f64 y x) -1)
(neg.f64 (/.f64 x (neg.f64 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 (pow.f64 y -2) (*.f64 (/.f64 1 (pow.f64 x 3)) y)))
(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) (/.f64 1 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))
(*.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 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.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 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (*.f64 (sin.f64 x) y)))
(*.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))
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(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (sqrt.f64 (/.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) (cbrt.f64 (sqrt.f64 (/.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 y) -1)) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 y) -1)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 y)))))
(*.f64 x (pow.f64 (sqrt.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)
(pow.f64 (/.f64 y x) -1)
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) 2))
(fabs.f64 (/.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 (pow.f64 y -2) (*.f64 (/.f64 1 (pow.f64 x 3)) y)))
(cbrt.f64 (/.f64 (pow.f64 y -2) (/.f64 (*.f64 1 y) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 x 3)))
(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)

eval127.0ms (1.4%)

Compiler

Compiled 8190 to 3702 computations (54.8% saved)

prune193.0ms (2.1%)

Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New6337640
Fresh21113
Picked011
Done2911
Total63728665
Error
0b
Counts
665 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
1.2b
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
15.9b
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
14.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
15.5b
(/.f64 (*.f64 (sin.f64 x) y) x)
48.9b
(/.f64 (*.f64 y x) x)
0.1b
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
1.7b
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 x)))
1.6b
(/.f64 (sin.f64 x) (/.f64 x y))
1.3b
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
1.7b
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
1.1b
(/.f64 y (/.f64 x (sin.f64 x)))
1.1b
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
19.0b
(/.f64 x (/.f64 x y))
1.7b
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
48.9b
(/.f64 1 (/.f64 x (*.f64 y x)))
43.9b
(-.f64 (+.f64 1 y) 1)
35.6b
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
19.4b
(*.f64 (/.f64 (sinh.f64 y) x) x)
1.1b
(*.f64 (/.f64 (sin.f64 x) x) y)
48.9b
(*.f64 (/.f64 1 x) (*.f64 y x))
35.6b
(*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/6))) y)
35.4b
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
19.1b
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))
61.7b
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
61.5b
(*.f64 x (*.f64 -1/6 (*.f64 y x)))
42.2b
(sqrt.f64 (*.f64 y y))
34.1b
(sinh.f64 y)
34.5b
y
Compiler

Compiled 256 to 174 computations (32% saved)

regimes144.0ms (1.6%)

Counts
40 → 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 x (*.f64 -1/6 (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/6))) y)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(sinh.f64 y)
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sinh.f64 y) x) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(*.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 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
Outputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
Calls

4 calls:

88.0ms
(sinh.f64 y)
19.0ms
y
18.0ms
x
12.0ms
(/.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 318 to 150 computations (52.8% saved)

regimes58.0ms (0.6%)

Counts
36 → 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 x (*.f64 -1/6 (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/6))) y)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(sinh.f64 y)
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sinh.f64 y) x) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(*.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:

18.0ms
y
16.0ms
x
16.0ms
(sinh.f64 y)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(sinh.f64 y)
Compiler

Compiled 275 to 133 computations (51.6% saved)

regimes52.0ms (0.6%)

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 x (*.f64 -1/6 (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/6))) y)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(sinh.f64 y)
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sinh.f64 y) x) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
Outputs
(/.f64 y (/.f64 x (sin.f64 x)))
Calls

3 calls:

16.0ms
(sinh.f64 y)
15.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
1.1b1y
1.1b1(sinh.f64 y)
Compiler

Compiled 254 to 129 computations (49.2% saved)

regimes35.0ms (0.4%)

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 x (*.f64 -1/6 (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/6))) y)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(sinh.f64 y)
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sinh.f64 y) x) x)
Outputs
(*.f64 (/.f64 (sin.f64 x) x) y)
Calls

3 calls:

11.0ms
(sinh.f64 y)
10.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
1.1b1x
1.1b1y
1.1b1(sinh.f64 y)
Compiler

Compiled 137 to 73 computations (46.7% saved)

regimes31.0ms (0.3%)

Counts
18 → 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 x (*.f64 -1/6 (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y)
(*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/6))) y)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 y)))
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
(sinh.f64 y)
(sqrt.f64 (*.f64 y y))
(/.f64 (sinh.f64 y) 1)
Outputs
(/.f64 x (/.f64 x y))
Calls

3 calls:

10.0ms
(sinh.f64 y)
9.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
19.0b1x
19.0b1y
19.0b1(sinh.f64 y)
Compiler

Compiled 125 to 68 computations (45.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -40.1b remaining (-202.4%)

Threshold costs -40.1b (-202.4%)

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:

4.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
19.8b1x
19.8b1y
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017103
120103
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 (sin.f64 x) x) y)
(/.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 (sin.f64 x) x) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 x (/.f64 x y))
(*.f64 (/.f64 y x) x)
(*.f64 x (/.f64 y x))
y
Compiler

Compiled 51 to 32 computations (37.3% saved)

soundness146.0ms (1.6%)

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
Compiler

Compiled 23 to 10 computations (56.5% saved)

end33.0ms (0.4%)

Compiler

Compiled 39 to 14 computations (64.1% saved)

Profiling

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