Details

Time bar (total: 16.0s)

analyze170.0ms (1.1%)

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
0%0%99.9%0.1%0%0%0%5
6.3%6.2%93.7%0.1%0%0%0%6
37.5%37.5%62.4%0.1%0%0%0%7
37.5%37.5%62.4%0.1%0%0%0%8
49.1%43.7%45.3%0.1%10.9%0%0%9
49.6%43.7%44.5%0.1%11.7%0%0%10
56.9%46.8%35.5%0.1%17.6%0%0%11
57.3%46.8%34.9%0.1%18.1%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample6.2s (39%)

Results
1.7s2074×body1024valid
1.7s2018×body1024infinite
1.6s5115×body256valid
447.0ms2080×body256infinite
387.0ms992×body512infinite
320.0ms1064×body512valid
3.0msbody2048valid
Bogosity

preprocess83.0ms (0.5%)

Algorithm
egg-herbie
Rules
1522×rational.json-simplify-51
1362×rational.json-simplify-35
1046×rational.json-simplify-1
942×rational.json-simplify-26
690×rational.json-simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
12742
23742
35842
49942
520442
651042
782642
8157542
9224642
10384042
11642242
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify107.0ms (0.7%)

Algorithm
egg-herbie
Rules
2044×rational.json-simplify-1
1602×rational.json-simplify-35
1066×rational.json-simplify-26
1030×rational.json-simplify-2
954×rational.json-simplify-48
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11721
22221
33321
45421
510721
625621
772121
8126721
9214921
10265921
11324021
12489721
13588521
14694421
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series8.0ms (0.1%)

Counts
3 → 40
Calls

12 calls:

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

rewrite92.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1814×rational.json-1
1814×rational.json-2
1814×rational.json-4
1814×rational.json-3
1806×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
16431
216631
339731
4103731
5468031
Stop Event
node limit
Counts
3 → 193
Calls
Call 1
Inputs
(sinh.f64 y)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sinh.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sinh.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sinh.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (*.f64 -1 (/.f64 y (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) (*.f64 (/.f64 1 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) (*.f64 1/2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) 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(sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 y (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sinh.f64 y)) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (*.f64 (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))) (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 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(sinh.f64 y) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -2) (+.f64 (/.f64 y (neg.f64 (sin.f64 x))) (/.f64 y (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (*.f64 y -2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (*.f64 y -2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(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 2 (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.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 (*.f64 (sin.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (sin.f64 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))))

simplify223.0ms (1.4%)

Algorithm
egg-herbie
Rules
1680×rational.json-simplify-35
1530×rational.json-simplify-44
1302×rational.json-simplify-47
1082×rational.json-simplify-61
886×rational.json-simplify-46
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04695153
116215129
273265125
Stop Event
node limit
Counts
233 → 256
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 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 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 (sinh.f64 y) 0)
(+.f64 0 (sinh.f64 y))
(+.f64 -1 (-.f64 1 (neg.f64 (sinh.f64 y))))
(-.f64 (sinh.f64 y) 0)
(-.f64 0 (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (*.f64 (sinh.f64 y) 2) 1/2)
(*.f64 2 (*.f64 (sinh.f64 y) 1/2))
(*.f64 (*.f64 (sinh.f64 y) 4) 1/4)
(*.f64 (neg.f64 (sinh.f64 y)) -1)
(*.f64 -1 (neg.f64 (sinh.f64 y)))
(*.f64 4 (/.f64 (sinh.f64 y) 4))
(*.f64 (*.f64 (sinh.f64 y) 8) 1/8)
(*.f64 1/2 (*.f64 (sinh.f64 y) 2))
(*.f64 (*.f64 (sinh.f64 y) -2) -1/2)
(*.f64 1/4 (*.f64 (sinh.f64 y) 4))
(*.f64 (*.f64 (sinh.f64 y) 1/2) 2)
(/.f64 (sinh.f64 y) 1)
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(/.f64 (*.f64 (sinh.f64 y) 4) 4)
(/.f64 (neg.f64 (sinh.f64 y)) -1)
(/.f64 (*.f64 (sinh.f64 y) 8) 8)
(/.f64 (*.f64 (sinh.f64 y) -2) -2)
(/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) 16)
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -4)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) 2)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -1) 4)
(pow.f64 (sinh.f64 y) 1)
(neg.f64 (neg.f64 (sinh.f64 y)))
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)
(+.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))
(-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 1))
(/.f64 (sinh.f64 y) (*.f64 -1 (/.f64 y (neg.f64 (sin.f64 x)))))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 (/.f64 1 (sin.f64 x)) 1))
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 1/2 (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 1))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (+.f64 y y) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) 2) (+.f64 (/.f64 y (sin.f64 x)) (/.f64 y (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (+.f64 y y) (sin.f64 x)) 1))
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 -2 (/.f64 y (neg.f64 (sin.f64 x)))))
(/.f64 2 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))))
(/.f64 2 (+.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 2 (*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))) 1))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (/.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (*.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (*.f64 (/.f64 2 (sin.f64 x)) 1))
(/.f64 (*.f64 (sinh.f64 y) 4) (+.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (/.f64 (+.f64 y y) (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 (*.f64 y 4) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 4 (/.f64 y (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (*.f64 y 4) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 2 (/.f64 (+.f64 y y) (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (+.f64 y y) (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 -4 (/.f64 y (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 4 (/.f64 (sin.f64 x) y)))
(/.f64 (*.f64 (sinh.f64 y) (*.f64 2 (/.f64 (sin.f64 x) y))) 2)
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 y (/.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))
(/.f64 (/.f64 1 y) (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 y (neg.f64 (sin.f64 x))) 1))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 (sin.f64 x) y)))
(/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x))))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (*.f64 (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 2 (sin.f64 x))))
(/.f64 4 (+.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))) (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (sin.f64 x)))
(/.f64 4 (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 1 (sin.f64 x))))
(/.f64 4 (*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) 4)
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (/.f64 4 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (*.f64 4 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (*.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 (*.f64 y 8) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 8 (/.f64 y (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 (*.f64 y 8) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 4 (/.f64 (+.f64 y y) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 y (sinh.f64 y)) 4))
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) 1))
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
(/.f64 1/2 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) (sin.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (sin.f64 x) y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sinh.f64 y)) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) -2) (+.f64 (/.f64 y (neg.f64 (sin.f64 x))) (/.f64 y (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (*.f64 y -2) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (*.f64 y -2) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 y) (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 2 (/.f64 y (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (*.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (+.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (*.f64 (/.f64 y (sinh.f64 y)) 4)))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 8 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (*.f64 8 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (*.f64 (*.f64 2 (*.f64 y 8)) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x)))) 8)
(/.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) (/.f64 1/2 (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (*.f64 (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (*.f64 -1 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (/.f64 (sinh.f64 y) y) 2)) (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 1 (*.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 y (*.f64 (sinh.f64 y) 2)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (/.f64 (sin.f64 x) y) 2)) 1/2)
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (/.f64 -1 (sin.f64 x)))
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (*.f64 2 (*.f64 y -2)) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 4 (/.f64 y (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 (+.f64 y y) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (/.f64 y (sinh.f64 y))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) y)) (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sinh.f64 y))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x)))) (*.f64 2 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))))) 16)
(/.f64 (+.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 y (sinh.f64 y))) (neg.f64 (/.f64 y (sinh.f64 y)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) y) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 y (sin.f64 x))) 8)
(/.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (/.f64 y (sinh.f64 y))) 8)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) y)
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1 (sin.f64 x))) (+.f64 y y))
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 y (/.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (sin.f64 x))) (*.f64 y 4))
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 x))) (/.f64 1 (sinh.f64 y)))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))))
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) 4))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 1 (sin.f64 x))) (*.f64 y 8))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (*.f64 y -2))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (/.f64 1 (sin.f64 x))) 8)
(/.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 y 8)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x))) -1)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 y -2)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (neg.f64 (+.f64 y y))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 y 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 1 (sin.f64 x))) (+.f64 y y))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 y (*.f64 (sinh.f64 y) 2)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) y)
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 (sin.f64 x))) (+.f64 y y))
(/.f64 (/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 y (/.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 (sin.f64 x))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 2 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))))
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (/.f64 (sinh.f64 y) y) 2)) (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 (sin.f64 x)))) -2)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 (sin.f64 x)))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 (sin.f64 x)))) 4)
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) y)
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 y (/.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (/.f64 -1 (sinh.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (-.f64 0 (*.f64 y (/.f64 2 (sinh.f64 y)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (-.f64 0 (/.f64 1 (sinh.f64 y))))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 2 (*.f64 (sin.f64 x) 1/2))
(*.f64 (*.f64 (sin.f64 x) 2) 1/2)
(*.f64 4 (/.f64 (sin.f64 x) 4))
(*.f64 (*.f64 (sin.f64 x) 4) 1/4)
(*.f64 1/2 (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (sin.f64 x) 1/2) 2)
(*.f64 (neg.f64 (sin.f64 x)) -1)
(/.f64 (sin.f64 x) 1)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(/.f64 (*.f64 (sin.f64 x) 4) 4)
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) 8)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (sin.f64 x) 4))) 16)
(pow.f64 (sin.f64 x) 1)
(neg.f64 (neg.f64 (sin.f64 x)))
Outputs
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 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5))))
(+.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 (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))) (*.f64 1/5040 (pow.f64 y 7)))
(+.f64 y (+.f64 (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5))) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 y (+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(*.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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 1/2))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 1/2)) (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
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(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (/.f64 1 (sin.f64 x))) 8)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 y 8)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x))) -1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 y -2)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (neg.f64 (+.f64 y y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 y 4)))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) 1/4)) (neg.f64 (*.f64 y 4)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) 1/4) (neg.f64 (*.f64 y 4))))
(/.f64 (*.f64 (sinh.f64 y) -4) (*.f64 (*.f64 y 4) (/.f64 -1 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 1 (sin.f64 x))) (+.f64 y y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 y (*.f64 (sinh.f64 y) 2)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) y)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 (sin.f64 x))) (+.f64 y y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 y (/.f64 2 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 (sin.f64 x))) (neg.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 2 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (/.f64 (sinh.f64 y) y) 2)) (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (*.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 2 (sin.f64 x))))))
(/.f64 (sinh.f64 y) (/.f64 (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 (sin.f64 x) y)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 (sin.f64 x)))) -2)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 (sin.f64 x)))) -4)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 (sin.f64 x)))) 4)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) y)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 y (/.f64 2 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (/.f64 -1 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (-.f64 0 (*.f64 y (/.f64 2 (sinh.f64 y)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 y (/.f64 2 (sinh.f64 y)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (-.f64 0 (/.f64 1 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(sin.f64 x)
(-.f64 (sin.f64 x) 0)
(sin.f64 x)
(-.f64 0 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 2 (*.f64 (sin.f64 x) 1/2))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 2) 1/2)
(sin.f64 x)
(*.f64 4 (/.f64 (sin.f64 x) 4))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 4) 1/4)
(sin.f64 x)
(*.f64 1/2 (*.f64 (sin.f64 x) 2))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 1/2) 2)
(sin.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(/.f64 (sin.f64 x) 1)
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 2) 2)
(sin.f64 x)
(/.f64 (*.f64 (sin.f64 x) 4) 4)
(sin.f64 x)
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) 8)
(sin.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (sin.f64 x) 4))) 16)
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)

eval55.0ms (0.3%)

Compiler

Compiled 3731 to 1746 computations (53.2% saved)

prune42.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2506256
Fresh000
Picked101
Done000
Total2516257
Error
0b
Counts
257 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x)))
18.0b
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))
0.1b
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
0.2b
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)))
28.8b
(*.f64 x (/.f64 (sinh.f64 y) y))
0.3b
(sin.f64 x)
Compiler

Compiled 114 to 82 computations (28.1% 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 y (sin.f64 x))
0.2b
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts
2 → 28
Calls

12 calls:

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

rewrite87.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1720×rational.json-1
1720×rational.json-2
1720×rational.json-4
1720×rational.json-3
1696×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
16832
221232
364732
4230332
5618932
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 y (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1/2 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (/.f64 2 (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) (/.f64 y (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 y (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 y (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sin.f64 x))))))))

simplify132.0ms (0.8%)

Algorithm
egg-herbie
Rules
1074×rational.json-simplify-2
892×rational.json-simplify-41
748×rational.json-simplify-39
686×rational.json-simplify-50
646×rational.json-simplify-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02212965
14632897
210422861
330052793
448132793
565082793
Stop Event
node limit
Counts
107 → 138
Calls
Call 1
Inputs
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (*.f64 y x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y)) (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 y) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y))) (*.f64 -1/5040 y))) (pow.f64 x 5))))))
(+.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0)
(+.f64 0 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))))
(+.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)))
(-.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1)
(*.f64 1 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))))
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1/2 (/.f64 y (sin.f64 x))))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) y) 1/2))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)))
(*.f64 2 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))))
(*.f64 2 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2))
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (sinh.f64 y)))
(*.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))
(*.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))) 1/2)
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 y (sinh.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 2 (/.f64 2 (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))))
(*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (*.f64 (sinh.f64 y) 2))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1)
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 y))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) 2)
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(pow.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1)
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))))
(+.f64 (/.f64 y (sin.f64 x)) 0)
(+.f64 0 (/.f64 y (sin.f64 x)))
(+.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) (/.f64 y (*.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 y (sin.f64 x)) 0)
(-.f64 0 (/.f64 y (neg.f64 (sin.f64 x))))
(*.f64 y (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 y (sin.f64 x)) 1)
(*.f64 1 (/.f64 y (sin.f64 x)))
(*.f64 (*.f64 (/.f64 y (sin.f64 x)) 2) 1/2)
(*.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 x)))
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) 2))
(*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) y))
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(*.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) 1/4)
(*.f64 (/.f64 1 (sin.f64 x)) y)
(*.f64 (neg.f64 y) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 y (neg.f64 (sin.f64 x))) -1)
(*.f64 -1 (/.f64 y (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 y 2))
(*.f64 1/2 (*.f64 (/.f64 y (sin.f64 x)) 2))
(*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 y y))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (+.f64 y y))
(*.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) 2)
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 y (sin.f64 x)) 2) 2)
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 y 4))
(*.f64 1/4 (*.f64 (/.f64 y (sin.f64 x)) 4))
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 y (sin.f64 x)) 1)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 x))))
Outputs
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (sin.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 6) 1/5040)) (sin.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (/.f64 (pow.f64 x 3) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 5) y)))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (/.f64 (pow.f64 x 3) y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 1/240 (/.f64 (pow.f64 x 5) y)))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
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(neg.f64 (/.f64 y (neg.f64 (sin.f64 x))))
(/.f64 y (sin.f64 x))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1688×rational.json-1
1688×rational.json-2
1688×rational.json-4
1688×rational.json-3
1680×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
15417
213517
333117
487817
5427817
Stop Event
node limit
Counts
1 → 143
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sinh.f64 y) y))
Outputs
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(*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 1 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 2 x)) (*.f64 1/2 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 2 x)) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 2 x)) (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 2 x)) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (/.f64 2 x)) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sinh.f64 y) (/.f64 2 y))) (/.f64 2 x)) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) y) (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1/2) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))))))

simplify124.0ms (0.8%)

Algorithm
egg-herbie
Rules
1602×rational.json-simplify-35
1482×rational.json-simplify-2
892×rational.json-simplify-51
830×rational.json-simplify-61
736×rational.json-simplify-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03623803
114183791
251583703
379383703
Stop Event
node limit
Counts
167 → 175
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
x
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)
(+.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y)))
(-.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)
(/.f64 x (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y x))
(/.f64 (sinh.f64 y) (*.f64 (/.f64 y x) 1))
(/.f64 (sinh.f64 y) (*.f64 -1 (/.f64 y (neg.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 x))
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 (/.f64 1 x) 1))
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 1/2 (/.f64 2 x)))
(/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y)))
(/.f64 1 (*.f64 (/.f64 (/.f64 y x) (sinh.f64 y)) 1))
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 y (/.f64 2 x)))
(/.f64 (*.f64 (sinh.f64 y) 2) (+.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (*.f64 y (/.f64 2 x)) 1))
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 -2 (/.f64 y (neg.f64 x))))
(/.f64 2 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x))
(/.f64 2 (+.f64 (/.f64 (/.f64 y x) (sinh.f64 y)) (/.f64 (/.f64 y x) (sinh.f64 y))))
(/.f64 2 (*.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x) 1))
(/.f64 (*.f64 (sinh.f64 y) (*.f64 2 (/.f64 x y))) 2)
(/.f64 (+.f64 x x) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (/.f64 2 x))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (*.f64 2 (/.f64 1 x)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (*.f64 (/.f64 2 x) 1))
(/.f64 (*.f64 (sinh.f64 y) 4) (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 y (/.f64 2 x))))
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 (*.f64 y 4) x))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 4 (/.f64 y x)))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (*.f64 y 4) (/.f64 1 x)))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 2 (*.f64 y (/.f64 2 x))))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (+.f64 y y) (/.f64 2 x)))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 -4 (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 4 (/.f64 x y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) x))
(/.f64 (/.f64 1 y) (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 x)))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 y (neg.f64 x)) 1))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (+.f64 x x)))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 x y)))
(/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))) (/.f64 1 x)))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) x))
(/.f64 -1 (*.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (/.f64 1 x)))
(/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) (/.f64 1 x)))
(/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (*.f64 (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))) (/.f64 2 x)))
(/.f64 4 (+.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x) (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x)))
(/.f64 4 (/.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) x))
(/.f64 4 (*.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (/.f64 1 x)))
(/.f64 4 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 2 x)))
(/.f64 (*.f64 x (*.f64 (/.f64 (sinh.f64 y) y) 4)) 4)
(/.f64 (*.f64 x 4) (/.f64 (*.f64 y 4) (sinh.f64 y)))
(/.f64 (*.f64 x 4) (*.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) 1))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (/.f64 4 x))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (*.f64 4 (/.f64 1 x)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (*.f64 2 (/.f64 2 x)))
(/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 (*.f64 y 8) x))
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 8 (/.f64 y x)))
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 (*.f64 y 8) (/.f64 1 x)))
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 4 (*.f64 y (/.f64 2 x))))
(/.f64 (/.f64 x y) (/.f64 1 (sinh.f64 y)))
(/.f64 1/2 (/.f64 (*.f64 1/2 (/.f64 y (sinh.f64 y))) x))
(/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 x y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sinh.f64 y)) x))
(/.f64 (*.f64 (sinh.f64 y) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (*.f64 y -2) x))
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) x))
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (*.f64 y -2) (/.f64 1 x)))
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 (+.f64 y y)) (/.f64 1 x)))
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 y) (/.f64 2 x)))
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 2 (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (+.f64 x x)))
(/.f64 (*.f64 2 (*.f64 x (*.f64 (/.f64 (sinh.f64 y) y) 4))) 8)
(/.f64 (*.f64 2 (*.f64 x 4)) (+.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (/.f64 (*.f64 y 4) (sinh.f64 y))))
(/.f64 (*.f64 2 (*.f64 x 4)) (*.f64 8 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (*.f64 8 (/.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (*.f64 (*.f64 2 (*.f64 y 8)) (/.f64 1 x)))
(/.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 1/2 (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) (/.f64 2 x)))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 -1 x))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (*.f64 -1 (/.f64 1 x)))
(/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sinh.f64 y) (/.f64 2 y))) (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 1 (+.f64 x x)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 (*.f64 x 1/2) (*.f64 1/2 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 1/2 y))) 1/2)
(/.f64 (neg.f64 x) (/.f64 y (neg.f64 (sinh.f64 y))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 y (neg.f64 (sinh.f64 y))) 1))
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (*.f64 2 (*.f64 y -2)) (/.f64 1 x)))
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 x)))
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 x)))
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 4 (/.f64 y (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (*.f64 y (/.f64 2 x)))
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sinh.f64 y))))
(/.f64 (+.f64 (*.f64 2 (*.f64 x (*.f64 (/.f64 (sinh.f64 y) y) 4))) (*.f64 2 (*.f64 x (*.f64 (/.f64 (sinh.f64 y) y) 4)))) 16)
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (*.f64 2 (*.f64 x 4)) (/.f64 y (sinh.f64 y))) 8)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 y x)) 8)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) y)
(/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1 x)) (+.f64 y y))
(/.f64 (/.f64 2 (/.f64 1 x)) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 x)) (*.f64 y 4))
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (sinh.f64 y)))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 x)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 x)) (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))))
(/.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 y (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 1 x)) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))))
(/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (*.f64 y 4) (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 1 x)) (*.f64 y 8))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 x)) (*.f64 y -2))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 x)) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (/.f64 1 x)) 8)
(/.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (/.f64 1 x)) (*.f64 2 (*.f64 y 8)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x)) -1)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (*.f64 2 (*.f64 y -2)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (*.f64 2 (neg.f64 (+.f64 y y))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (neg.f64 (*.f64 y 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 1 x)) (+.f64 y y))
(/.f64 (/.f64 1 (/.f64 2 x)) (*.f64 1/2 (/.f64 y (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 x)) y)
(/.f64 (/.f64 2 (/.f64 2 x)) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 x)) (+.f64 y y))
(/.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 2 x)) (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))))
(/.f64 (/.f64 4 (/.f64 2 x)) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 x)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (/.f64 2 x)) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))))
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sinh.f64 y) (/.f64 2 y))) (/.f64 2 x)) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 x))) -2)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 x))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 x))) 4)
(/.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) y)
(/.f64 (/.f64 (+.f64 x x) y) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (sinh.f64 y)))
(/.f64 (/.f64 x 1/2) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2))))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 (sinh.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y)))
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x)))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))
Outputs
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
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(*.f64 (sinh.f64 y) (/.f64 x y))
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 (sinh.f64 y)))))
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(*.f64 x (/.f64 (sinh.f64 y) y))
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(*.f64 (sinh.f64 y) (/.f64 x y))
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(/.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 y (/.f64 (/.f64 x y) (/.f64 (sinh.f64 y) (/.f64 y 1)))))
(/.f64 y (*.f64 (sinh.f64 y) (*.f64 (/.f64 y x) (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y))))))
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(*.f64 (sinh.f64 y) (/.f64 x y))
(/.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 1 x)) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))))
(/.f64 (/.f64 y (*.f64 (*.f64 1/2 (sinh.f64 y)) (/.f64 1 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 1/2 (sinh.f64 y)))))
(/.f64 y (*.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 (/.f64 y 1/2) (sinh.f64 y))) (*.f64 1/2 (sinh.f64 y)))))
(/.f64 (+.f64 (/.f64 (*.f64 1/2 (sinh.f64 y)) y) (/.f64 (*.f64 1/2 (sinh.f64 y)) y)) (/.f64 1 x))
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(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 1 x)) (*.f64 y 8))
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(/.f64 (/.f64 1 (/.f64 2 x)) (*.f64 1/2 (/.f64 y (sinh.f64 y))))
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(/.f64 y (*.f64 (sinh.f64 y) (*.f64 (/.f64 y x) (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y))))))
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(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2))))
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(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 (sinh.f64 y)))
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(*.f64 (sinh.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 x y))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite71.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1564×exponential.json-3
1564×rational.json-1
1564×rational.json-2
1564×rational.json-4
1564×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
19432
229632
3100532
4441432
Stop Event
node limit
Counts
2 → 111
Calls
Call 1
Inputs
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 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egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sinh.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (*.f64 (sinh.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 2) (*.f64 (sinh.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 y y)) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 1/2) (*.f64 (sin.f64 x) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sinh.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) 2)) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)) (*.f64 (/.f64 (sinh.f64 y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 y 4))) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 y (/.f64 2 (sinh.f64 y))))) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x)))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 2) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))))

simplify132.0ms (0.8%)

Algorithm
egg-herbie
Rules
1002×rational.json-simplify-35
814×rational.json-simplify-51
778×rational.json-simplify-1
776×rational.json-simplify-44
754×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02683767
16013743
214943695
345883667
469283667
Stop Event
node limit
Counts
139 → 180
Calls
Call 1
Inputs
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)))
(-.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(*.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1)
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (+.f64 y y)))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (/.f64 1/2 y)))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) y) 1/2))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (/.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (*.f64 (sin.f64 x) 1/2))
(*.f64 2 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 (sin.f64 x))))
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))))
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))))
(*.f64 2 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 2))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sinh.f64 y) (/.f64 1/2 y)))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 y (/.f64 (sinh.f64 y) 4))))
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 y))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 y))) 1/2)
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)))
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 y 4))))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 2 (*.f64 y (/.f64 2 (sinh.f64 y))))))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 y (/.f64 (sinh.f64 y) 4))))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1/2 y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 1 y) (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x)))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 (neg.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))) (/.f64 1 (neg.f64 y)))
(*.f64 -1 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))))
(*.f64 -1 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))))
(*.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))))
(*.f64 -1 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)))
(*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (*.f64 (sinh.f64 y) 1/2))
(*.f64 (/.f64 (sin.f64 x) 2) (*.f64 (sinh.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 y y)) (*.f64 (sinh.f64 y) 2))
(*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 y))))
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))
(*.f64 (*.f64 (sinh.f64 y) 1/2) (*.f64 (sin.f64 x) (/.f64 2 y)))
(*.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sinh.f64 y) (/.f64 2 y)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) (*.f64 (sinh.f64 y) 2))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) 2)) (*.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) -1)
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))) -1)
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))) -1)
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))) -1)
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)) -1)
(*.f64 (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))) (*.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 (sin.f64 x))) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)) (*.f64 (/.f64 (sinh.f64 y) y) 4))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 2)
(*.f64 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 y 4))) (*.f64 (sinh.f64 y) 4))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 y (/.f64 2 (sinh.f64 y))))) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 1 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 2 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x)))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))))
(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y))))
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))))
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(+.f64 0 (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(-.f64 0 (/.f64 -1 (sin.f64 x)))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 (/.f64 2 (sin.f64 x)) 1/2)
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2))
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)
(*.f64 (/.f64 -1 (sin.f64 x)) -1)
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 2) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2))
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 2) 2)
(*.f64 1/4 (*.f64 (/.f64 1 (sin.f64 x)) 4))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) 2)
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(neg.f64 (/.f64 -1 (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
Outputs
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6)))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (sin.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6)) (+.f64 (*.f64 (pow.f64 y 6) (*.f64 (sin.f64 x) 1/5040)) (sin.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)))
(*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)))
(+.f64 (*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 5) y)))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240))))
(+.f64 (*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
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(*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 1/2 (/.f64 2 y))))
(*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 2 y))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) (*.f64 (sinh.f64 y) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) 2)) (*.f64 (sinh.f64 y) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))) (*.f64 2 (/.f64 1 y)))
(*.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))))
(*.f64 2 (*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 1 y) (*.f64 2 (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)) (*.f64 (/.f64 (sinh.f64 y) y) 4))
(*.f64 (*.f64 4 (/.f64 (sinh.f64 y) y)) (/.f64 1 (*.f64 4 (/.f64 1 (sin.f64 x)))))
(*.f64 4 (*.f64 (/.f64 1/4 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) y)))
(*.f64 4 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 2) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 y 4))) (*.f64 (sinh.f64 y) 4))
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1 (*.f64 y (*.f64 4 (/.f64 1 (sin.f64 x)))))))
(*.f64 4 (*.f64 (/.f64 (/.f64 1/4 (/.f64 1 (sin.f64 x))) y) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 (sin.f64 x) (*.f64 y 4))))
(*.f64 4 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (*.f64 y 4))))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 y (/.f64 2 (sinh.f64 y))))) (*.f64 (sin.f64 x) 4))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 y (/.f64 2 (sinh.f64 y)))))
(*.f64 4 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 y 4))))
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 (sinh.f64 y) (*.f64 y 4))))
(*.f64 (/.f64 1 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 4))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 y (/.f64 2 (sinh.f64 y)))))
(*.f64 4 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 y 4))))
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 (sinh.f64 y) (*.f64 y 4))))
(*.f64 (/.f64 2 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x)))) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(-.f64 0 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) 1/2)
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2))
(/.f64 1 (sin.f64 x))
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) -1)
(/.f64 1 (sin.f64 x))
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) 2) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 2) 2)
(/.f64 1 (sin.f64 x))
(*.f64 1/4 (*.f64 (/.f64 1 (sin.f64 x)) 4))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) 2)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(neg.f64 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (sin.f64 x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 35 to 10 computations (71.4% saved)

series10.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite74.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1296×rational.json-simplify-2
1144×exponential.json-3
1144×rational.json-1
1144×rational.json-2
1144×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271
19869
232561
3127061
4418161
Stop Event
node limit
Counts
3 → 175
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)))
(/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x))
(/.f64 y (neg.f64 (sinh.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sinh.f64 y) (*.f64 -2 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (*.f64 -2 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (sin.f64 x) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2)) (/.f64 -1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 2) y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 -1 (*.f64 -2 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (/.f64 -1 (/.f64 -1 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simplify169.0ms (1.1%)

Algorithm
egg-herbie
Rules
1284×rational.json-simplify-51
990×rational.json-simplify-35
976×rational.json-simplify-2
864×rational.json-simplify-44
752×rational.json-simplify-43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03938727
18077715
218076909
350376881
478786881
Stop Event
node limit
Counts
235 → 277
Calls
Call 1
Inputs
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4))) (*.f64 y 4))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 1)
(neg.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(+.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)
(+.f64 0 (/.f64 (neg.f64 y) (sinh.f64 y)))
(+.f64 (-.f64 1 (/.f64 y (sinh.f64 y))) -1)
(-.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)
(-.f64 0 (/.f64 y (sinh.f64 y)))
(*.f64 -1 (/.f64 y (sinh.f64 y)))
(*.f64 y (/.f64 -1 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)
(*.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 -2 (/.f64 y (*.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) 1/2)
(*.f64 (+.f64 y y) (/.f64 -1/2 (sinh.f64 y)))
(*.f64 (+.f64 y y) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2))
(*.f64 (/.f64 y (sinh.f64 y)) -1)
(*.f64 2 (/.f64 y (*.f64 (sinh.f64 y) -2)))
(*.f64 2 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2))
(*.f64 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4) 1/4)
(*.f64 (*.f64 y 4) (/.f64 -1 (*.f64 (sinh.f64 y) 4)))
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) -1/2)
(*.f64 (*.f64 y -2) (neg.f64 (/.f64 -1/2 (sinh.f64 y))))
(*.f64 (/.f64 -1 (sinh.f64 y)) y)
(*.f64 (neg.f64 y) (/.f64 1 (sinh.f64 y)))
(*.f64 (*.f64 2 (/.f64 -1 (sinh.f64 y))) (/.f64 y 2))
(*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))
(*.f64 1/2 (/.f64 (*.f64 y -2) (sinh.f64 y)))
(*.f64 (/.f64 -1/2 (sinh.f64 y)) (+.f64 y y))
(*.f64 -1/2 (*.f64 y (/.f64 2 (sinh.f64 y))))
(*.f64 (neg.f64 (/.f64 -1/2 (sinh.f64 y))) (*.f64 y -2))
(*.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (+.f64 y y))
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) -2)) 2)
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 -1 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2) 2)
(*.f64 1/4 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4))
(*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) 4)) (*.f64 y 4))
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) -2)
(pow.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)
(neg.f64 (/.f64 y (sinh.f64 y)))
Outputs
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) (*.f64 (sin.f64 x) 1/6)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (sin.f64 x) 1/6)) (*.f64 (pow.f64 y 4) (*.f64 (sin.f64 x) 1/120))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 y 4) (*.f64 (sin.f64 x) 1/120)) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (sin.f64 x) 1/6)) (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 6) 1/5040)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)))
(*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)))
(+.f64 (*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (*.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(+.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y)))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 5) y))))
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240))))
(+.f64 (*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (*.f64 -1/10080 (*.f64 (pow.f64 x 7) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))))
(+.f64 (+.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y)))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 5) y)))) (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 7) y))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 7) y) -1/10080))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12))))
(+.f64 (*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 7) y) -1/10080)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(/.f64 -1 (sin.f64 x))
(-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(+.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (-.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (/.f64 1 (sin.f64 x))))
(-.f64 (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))) (/.f64 1 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (-.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (/.f64 1 (sin.f64 x))))
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (-.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (/.f64 1 (sin.f64 x)))))
(+.f64 (-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (+.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (-.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (/.f64 1 (sin.f64 x)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
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(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)))
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2))) (*.f64 y -2))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))
(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)))
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2))) 2)
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))
(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)))
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 2) 2)
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))
(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)))
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4))) (*.f64 y 4))
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4))))
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -4)))))
(*.f64 (*.f64 y 4) (/.f64 -1/4 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 y (*.f64 4 (/.f64 (/.f64 -1/4 (sin.f64 x)) (sinh.f64 y))))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))
(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)))
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))
(neg.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))
(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)))
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(+.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(+.f64 0 (/.f64 (neg.f64 y) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(+.f64 (-.f64 1 (/.f64 y (sinh.f64 y))) -1)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(-.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(-.f64 0 (/.f64 y (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 -1 (/.f64 y (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 y (/.f64 -1 (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 -2 (/.f64 y (*.f64 (sinh.f64 y) 2)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (+.f64 y y) (/.f64 -1/2 (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (+.f64 y y) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) -1)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 2 (/.f64 y (*.f64 (sinh.f64 y) -2)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 2 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4) 1/4)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 y 4) (/.f64 -1 (*.f64 (sinh.f64 y) 4)))
(*.f64 y (*.f64 4 (/.f64 -1 (*.f64 4 (sinh.f64 y)))))
(*.f64 y (*.f64 4 (/.f64 -1/4 (sinh.f64 y))))
(*.f64 (*.f64 y 4) (/.f64 -1/4 (sinh.f64 y)))
(*.f64 4 (/.f64 y (*.f64 (sinh.f64 y) -4)))
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) -1/2)
(*.f64 y (*.f64 (/.f64 2 (sinh.f64 y)) -1/2))
(*.f64 (/.f64 2 (sinh.f64 y)) (*.f64 y -1/2))
(*.f64 (*.f64 y -2) (neg.f64 (/.f64 -1/2 (sinh.f64 y))))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 -1 (sinh.f64 y)) y)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 y) (/.f64 1 (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 2 (/.f64 -1 (sinh.f64 y))) (/.f64 y 2))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 1/2 (/.f64 (*.f64 y -2) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 -1/2 (sinh.f64 y)) (+.f64 y y))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 -1/2 (*.f64 y (/.f64 2 (sinh.f64 y))))
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) -1/2)
(*.f64 y (*.f64 (/.f64 2 (sinh.f64 y)) -1/2))
(*.f64 (/.f64 2 (sinh.f64 y)) (*.f64 y -1/2))
(*.f64 (neg.f64 (/.f64 -1/2 (sinh.f64 y))) (*.f64 y -2))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (+.f64 y y))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) -2)) 2)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 -1 (sinh.f64 y))))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2) 2)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 1/4 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) 4)) (*.f64 y 4))
(*.f64 y (*.f64 4 (/.f64 -1 (*.f64 4 (sinh.f64 y)))))
(*.f64 y (*.f64 4 (/.f64 -1/4 (sinh.f64 y))))
(*.f64 (*.f64 y 4) (/.f64 -1/4 (sinh.f64 y)))
(*.f64 4 (/.f64 y (*.f64 (sinh.f64 y) -4)))
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) -2)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(pow.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))
(neg.f64 (/.f64 y (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 y (neg.f64 (sinh.f64 y)))

eval225.0ms (1.4%)

Compiler

Compiled 15417 to 7809 computations (49.3% saved)

prune996.0ms (6.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New102551030
Fresh101
Picked101
Done134
Total102881036
Error
0b
Counts
1036 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
0.4b
(/.f64 y (/.f64 y (sin.f64 x)))
29.3b
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y)))
0.3b
(/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))))
0.5b
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
28.8b
(*.f64 x (/.f64 (sinh.f64 y) y))
0.3b
(sin.f64 x)
29.1b
x
Compiler

Compiled 62 to 44 computations (29% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite87.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1288×rational.json-1
1288×rational.json-2
1288×rational.json-4
1288×rational.json-3
1280×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
16216
216516
339316
498216
5369716
Stop Event
node limit
Counts
2 → 92
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sin.f64 x)) (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (sin.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sin.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 -2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 -1 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -1 (sin.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 -1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sin.f64 x)) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 -1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (/.f64 -1 (sin.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (/.f64 -1 (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (sin.f64 x)))))))

simplify82.0ms (0.5%)

Algorithm
egg-herbie
Rules
1580×rational.json-simplify-51
1258×rational.json-simplify-39
1118×rational.json-simplify-35
896×rational.json-simplify-2
560×rational.json-simplify-59
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01801544
13181076
218711076
348091076
Stop Event
node limit
Counts
108 → 115
Calls
Call 1
Inputs
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)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(/.f64 -1 x)
(-.f64 (*.f64 -1/6 x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -31/15120 (pow.f64 x 5)) (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x))
(+.f64 -1 (-.f64 (sin.f64 x) -1))
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/2))
(+.f64 (-.f64 (sin.f64 x) -1) -1)
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(*.f64 -1 (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) 1)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 1 (sin.f64 x))
(*.f64 -2 (*.f64 (sin.f64 x) -1/2))
(*.f64 (*.f64 (sin.f64 x) 2) 1/2)
(*.f64 (/.f64 -2 (sin.f64 x)) (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))))
(*.f64 2 (*.f64 (sin.f64 x) 1/2))
(*.f64 (*.f64 (sin.f64 x) 4) 1/4)
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 4 (/.f64 (sin.f64 x) 4))
(*.f64 (*.f64 (sin.f64 x) 8) 1/8)
(*.f64 (*.f64 (sin.f64 x) -2) -1/2)
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) -4) -1/4)
(*.f64 1/2 (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (sin.f64 x) 1/2) 2)
(*.f64 1/4 (*.f64 (sin.f64 x) 4))
(*.f64 (*.f64 (sin.f64 x) -1/2) -2)
(*.f64 -1/2 (*.f64 (sin.f64 x) -2))
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 -1/4 (*.f64 (sin.f64 x) -4))
(*.f64 (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 4) 4)
(*.f64 1/8 (*.f64 (sin.f64 x) 8))
(*.f64 (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 -2 (sin.f64 x)))
(*.f64 (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(sin.f64 (-.f64 (PI.f64) x))
(+.f64 -1 (-.f64 (/.f64 -1 (sin.f64 x)) -1))
(+.f64 (/.f64 -1 (sin.f64 x)) 0)
(+.f64 0 (/.f64 -1 (sin.f64 x)))
(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))
(+.f64 (-.f64 (/.f64 -1 (sin.f64 x)) -1) -1)
(-.f64 (/.f64 -1 (sin.f64 x)) 0)
(-.f64 0 (/.f64 1 (sin.f64 x)))
(*.f64 -1 (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) 1)
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))))
(*.f64 1 (/.f64 -1 (sin.f64 x)))
(*.f64 -2 (/.f64 1/2 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 -2 (sin.f64 x)) 1/2)
(*.f64 2 (/.f64 -1/2 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 4) 1/4)
(*.f64 (/.f64 1 (sin.f64 x)) -1)
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 4 (/.f64 (/.f64 -1 (sin.f64 x)) 4))
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 8) 1/8)
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 2 (sin.f64 x)) -1/2)
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) -4) -1/4)
(*.f64 1/2 (/.f64 -2 (sin.f64 x)))
(*.f64 1/4 (*.f64 (/.f64 -1 (sin.f64 x)) 4))
(*.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 -1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) -2)
(*.f64 (/.f64 -1/2 (sin.f64 x)) 2)
(*.f64 -1/4 (*.f64 (/.f64 -1 (sin.f64 x)) -4))
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -2))
(*.f64 1/8 (*.f64 (/.f64 -1 (sin.f64 x)) 8))
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) 4)
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) -2))
(pow.f64 (/.f64 -1 (sin.f64 x)) 1)
(neg.f64 (/.f64 1 (sin.f64 x)))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.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 x (*.f64 1/120 (pow.f64 x 5))))
(+.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 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 x (+.f64 (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(/.f64 -1 x)
(-.f64 (*.f64 -1/6 x) (/.f64 1 x))
(-.f64 (*.f64 x -1/6) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x)) (/.f64 1 x))
(+.f64 (*.f64 x -1/6) (-.f64 (*.f64 (pow.f64 x 3) -7/360) (/.f64 1 x)))
(+.f64 (*.f64 (pow.f64 x 3) -7/360) (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -31/15120 (pow.f64 x 5)) (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x))
(+.f64 (+.f64 (*.f64 x -1/6) (*.f64 (pow.f64 x 3) -7/360)) (-.f64 (*.f64 (pow.f64 x 5) -31/15120) (/.f64 1 x)))
(+.f64 (*.f64 x -1/6) (+.f64 (*.f64 (pow.f64 x 3) -7/360) (-.f64 (*.f64 (pow.f64 x 5) -31/15120) (/.f64 1 x))))
(+.f64 (*.f64 x -1/6) (+.f64 (*.f64 (pow.f64 x 5) -31/15120) (-.f64 (*.f64 (pow.f64 x 3) -7/360) (/.f64 1 x))))
(+.f64 -1 (-.f64 (sin.f64 x) -1))
(sin.f64 x)
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/2))
(sin.f64 x)
(+.f64 (-.f64 (sin.f64 x) -1) -1)
(sin.f64 x)
(-.f64 (sin.f64 x) 0)
(sin.f64 x)
(-.f64 0 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 -1 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 -2 (*.f64 (sin.f64 x) -1/2))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 2) 1/2)
(sin.f64 x)
(*.f64 (/.f64 -2 (sin.f64 x)) (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))))
(sin.f64 x)
(*.f64 2 (*.f64 (sin.f64 x) 1/2))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 4) 1/4)
(sin.f64 x)
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(sin.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(sin.f64 x)
(*.f64 4 (/.f64 (sin.f64 x) 4))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 8) 1/8)
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) -2) -1/2)
(sin.f64 x)
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(sin.f64 x)
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) -4) -1/4)
(sin.f64 x)
(*.f64 1/2 (*.f64 (sin.f64 x) 2))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 1/2) 2)
(sin.f64 x)
(*.f64 1/4 (*.f64 (sin.f64 x) 4))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) -1/2) -2)
(sin.f64 x)
(*.f64 -1/2 (*.f64 (sin.f64 x) -2))
(sin.f64 x)
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(sin.f64 x)
(*.f64 -1/4 (*.f64 (sin.f64 x) -4))
(sin.f64 x)
(*.f64 (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 2 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) 4) 4)
(sin.f64 x)
(*.f64 1/8 (*.f64 (sin.f64 x) 8))
(sin.f64 x)
(*.f64 (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 -2 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 (-.f64 (PI.f64) x))
(sin.f64 x)
(+.f64 -1 (-.f64 (/.f64 -1 (sin.f64 x)) -1))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 -1 (sin.f64 x)) 0)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(+.f64 0 (/.f64 -1 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(+.f64 (-.f64 (/.f64 -1 (sin.f64 x)) -1) -1)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(-.f64 (/.f64 -1 (sin.f64 x)) 0)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(-.f64 0 (/.f64 1 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 -1 (/.f64 1 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) 1)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 1 (/.f64 -1 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 -2 (/.f64 1/2 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -2 (sin.f64 x)) 1/2)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 2 (/.f64 -1/2 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 4) 1/4)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) -1)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 4 (/.f64 (/.f64 -1 (sin.f64 x)) 4))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 8) 1/8)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) -1/2)
(*.f64 -1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) -4) -1/4)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 1/2 (/.f64 -2 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 1/4 (*.f64 (/.f64 -1 (sin.f64 x)) 4))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 -1/2 (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) -2)
(*.f64 -2 (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 -1/2 (sin.f64 x)) 2)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 -1/4 (*.f64 (/.f64 -1 (sin.f64 x)) -4))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -1/2))
(*.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -2))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 1/8 (*.f64 (/.f64 -1 (sin.f64 x)) 8))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) 4)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) 2))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) -2))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(pow.f64 (/.f64 -1 (sin.f64 x)) 1)
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(neg.f64 (/.f64 1 (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 34 to 10 computations (70.6% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite102.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1860×rational.json-1
1860×rational.json-2
1122×rational.json-simplify-50
1110×exponential.json-3
1110×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01256
19854
233246
3133046
4377146
5761346
Stop Event
node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))
(/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 x)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (/.f64 -1/2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 x)) (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (neg.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 (+.f64 y y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (/.f64 (+.f64 y y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sinh.f64 y))) (/.f64 (neg.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 -1/2 (sinh.f64 y))) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (*.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2) (*.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) y))))))

simplify221.0ms (1.4%)

Algorithm
egg-herbie
Rules
1518×rational.json-simplify-51
1088×rational.json-simplify-35
906×rational.json-simplify-2
876×rational.json-simplify-41
830×rational.json-simplify-53
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02194864
14624508
29394390
319394176
448173944
577083944
Stop Event
node limit
Counts
116 → 153
Calls
Call 1
Inputs
(/.f64 -1 (sin.f64 x))
(-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(-.f64 (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))) (/.f64 1 (sin.f64 x)))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/6 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 5)) (+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(+.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 0)
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))))
(+.f64 0 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)))
(+.f64 (-.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) -1)
(-.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 0)
(-.f64 0 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 y (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 y (sin.f64 x)) (/.f64 -1 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 1)
(*.f64 -1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (/.f64 -1/2 (sinh.f64 y)))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2))
(*.f64 (+.f64 y y) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)))
(*.f64 (+.f64 y y) (*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2))
(*.f64 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 x)) (sinh.f64 y)) 1/2)
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 (/.f64 -1 (sinh.f64 y))))
(*.f64 2 (*.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 y (sin.f64 x))))
(*.f64 2 (*.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) y))
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) y)
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (neg.f64 y) (sin.f64 x)))
(*.f64 1/2 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 x)) (sinh.f64 y)))
(*.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 (+.f64 y y) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (+.f64 y y))
(*.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (/.f64 (+.f64 y y) (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 -1 (sinh.f64 y))) (/.f64 (neg.f64 y) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2) (+.f64 y y))
(*.f64 (+.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 -1/2 (sinh.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 (+.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x))) y)
(pow.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 1)
(neg.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) -1)
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(-.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 -1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(*.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2))
(*.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 y))
(*.f64 2 (*.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (neg.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (sin.f64 x)))
(*.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))) -1)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 -1 y) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (*.f64 (sinh.f64 y) -2))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2) (*.f64 (sinh.f64 y) -2))
(*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2)) (neg.f64 (sinh.f64 y)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) y))
Outputs
(/.f64 -1 (sin.f64 x))
(-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(+.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (-.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (/.f64 1 (sin.f64 x))))
(-.f64 (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))) (/.f64 1 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (-.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (/.f64 1 (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (+.f64 (-.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (/.f64 1 (sin.f64 x))) (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (+.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (-.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (/.f64 1 (sin.f64 x)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -1/3 x)))
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x -1/3)))
(+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x -1/3)))
(+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/18)) (pow.f64 x 3))))
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) (pow.f64 x 3))))
(+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -1/3 x)) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -7/180 (pow.f64 x 3)))))
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x -1/3)) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 3) -7/180))))
(+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (*.f64 (pow.f64 x 3) -7/180) (*.f64 x -1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/6 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 5)) (+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(+.f64 (+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/18)) (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/2520) (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/360) (*.f64 1/6 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/18))))) (pow.f64 x 5)))
(+.f64 (+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/2520) (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/360) (*.f64 1/6 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180)))) (pow.f64 x 5)))
(+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -1/3 x)) (+.f64 (+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -7/180 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/1080) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/420)) (pow.f64 x 5))))
(+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x -1/3)) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/2520) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/270)) (pow.f64 x 5)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 3) -7/180)))))
(+.f64 (+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (*.f64 (pow.f64 x 3) -7/180) (*.f64 x -1/3)))) (*.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -31/7560) (pow.f64 x 5)))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 (pow.f64 y 4) (*.f64 (sin.f64 x) 1/120))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4)))))
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(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
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(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
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(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
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(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 -1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
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(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
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(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
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(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
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(*.f64 2 (*.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (neg.f64 (sinh.f64 y))))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
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(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
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(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (sin.f64 x)))
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(*.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))) -1)
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(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
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(*.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (*.f64 (sinh.f64 y) -2))
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(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2))
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(*.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2) (*.f64 (sinh.f64 y) -2))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
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(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
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(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
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(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) y))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.2b
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y)))
11.4b
(/.f64 (/.f64 y x) (sinh.f64 y))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite520.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
2104×rational.json-1
1890×rational.json-simplify-35
1012×exponential.json-3
1012×rational.json-2
1012×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
18534
225834
377334
4278234
5760134
Stop Event
node limit
Counts
2 → 136
Calls
Call 1
Inputs
(/.f64 (/.f64 y x) (sinh.f64 y))
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 x x)) (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) 4)) (*.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (neg.f64 (sinh.f64 y)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (/.f64 1/2 (*.f64 x (sinh.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (sinh.f64 y) 2)) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 2 (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y y)) (*.f64 x (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 x (sinh.f64 y))) y))))))

simplify129.0ms (0.8%)

Algorithm
egg-herbie
Rules
944×rational.json-simplify-51
916×rational.json-simplify-55
900×rational.json-simplify-44
878×rational.json-simplify-35
830×rational.json-simplify-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02844280
16084244
214144244
343214220
466304220
Stop Event
node limit
Counts
184 → 183
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
x
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 0)
(+.f64 0 (/.f64 y (*.f64 x (sinh.f64 y))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y))))))
(-.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 0)
(-.f64 0 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))))
(*.f64 y (/.f64 1 (*.f64 x (sinh.f64 y))))
(*.f64 (/.f64 y x) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1)
(*.f64 1 (/.f64 y (*.f64 x (sinh.f64 y))))
(*.f64 (+.f64 y y) (/.f64 1/2 (*.f64 x (sinh.f64 y))))
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) 1/2))
(*.f64 2 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2)))
(*.f64 2 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2))))
(*.f64 2 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) y))
(*.f64 2 (*.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 y x)))
(*.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 y (sinh.f64 y))))
(*.f64 (*.f64 (/.f64 y x) (/.f64 2 (sinh.f64 y))) 1/2)
(*.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 (sinh.f64 y)))
(*.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 (sinh.f64 y)) 1/2))
(*.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 (sinh.f64 y) 4)))
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4)))
(*.f64 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4) 1/4)
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 1/2 x))
(*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) y)
(*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y x))
(*.f64 (/.f64 1 x) (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 -1 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 -1 x))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 (sinh.f64 y)))))
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 x (sinh.f64 y))))
(*.f64 -1 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))))
(*.f64 -1 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))))
(*.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x))
(*.f64 -1 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))))
(*.f64 -1 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))))
(*.f64 -1 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))))
(*.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))) -1)
(*.f64 (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y)))) (/.f64 y 2))
(*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (+.f64 x x)))
(*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 (/.f64 y x) 2))
(*.f64 (*.f64 2 (/.f64 1 x)) (/.f64 y (*.f64 (sinh.f64 y) 2)))
(*.f64 1/2 (*.f64 (/.f64 y x) (/.f64 2 (sinh.f64 y))))
(*.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (+.f64 y y))
(*.f64 (/.f64 1/2 (sinh.f64 y)) (*.f64 y (/.f64 2 x)))
(*.f64 (/.f64 1/2 x) (*.f64 y (/.f64 2 (sinh.f64 y))))
(*.f64 (*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) 1/2) (+.f64 y y))
(*.f64 (*.f64 (/.f64 1 (sinh.f64 y)) 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))) -1)
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x) -1)
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))) -1)
(*.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))) -1)
(*.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))) -1)
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2)) 2)
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) (*.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 y (+.f64 x x)) (/.f64 2 (sinh.f64 y)))
(*.f64 1/4 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4))
(*.f64 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2))) 2)
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 4)) (*.f64 (/.f64 y x) 4))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4)) (*.f64 y 4))
(*.f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))) (neg.f64 y))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 (sinh.f64 y)))) (neg.f64 y))
(*.f64 (/.f64 -1 (*.f64 x (sinh.f64 y))) (neg.f64 y))
(*.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (/.f64 y x))
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 y (sinh.f64 y)))
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (/.f64 1/2 (*.f64 x (sinh.f64 y)))) y)
(pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1)
(neg.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))))
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x))
(neg.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))))
(neg.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))))
(+.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)
(+.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y)))
(-.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 x y))
(*.f64 1 (*.f64 x (/.f64 (sinh.f64 y) y)))
(*.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (+.f64 x x) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))))
(*.f64 2 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))))
(*.f64 2 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2))
(*.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) x))
(*.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) (sinh.f64 y)))
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x y) 2))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x y) 1/2))
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (+.f64 y y)))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) x))
(*.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y))
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) 2)) (/.f64 1 (+.f64 y y)))
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))) 1/2)
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y x)))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sinh.f64 y))))
(*.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))
(*.f64 (/.f64 x y) (sinh.f64 y))
(*.f64 (/.f64 x y) (/.f64 2 (/.f64 2 (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) x)
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y)))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 x)))
(*.f64 1/2 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))))
(*.f64 (/.f64 (/.f64 x y) 2) (*.f64 (sinh.f64 y) 2))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (+.f64 x x))
(*.f64 (*.f64 (/.f64 x y) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1)
(*.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 x y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 y))
(*.f64 (/.f64 x (+.f64 y y)) (*.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 1 (+.f64 y y)) (*.f64 x (*.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))) 2)
(*.f64 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 (sinh.f64 y) 4))
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 x 4))
(*.f64 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2) 2)
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (sinh.f64 y))
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)
(neg.f64 (neg.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sinh.f64 y))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sinh.f64 y))) y))
Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (*.f64 7/360 (/.f64 (pow.f64 y 4) x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 7/360 (/.f64 (pow.f64 y 4) x))))
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x)))))
(+.f64 (+.f64 (/.f64 1 x) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (*.f64 7/360 (/.f64 (pow.f64 y 4) x))))
(+.f64 (+.f64 (/.f64 1 x) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
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(*.f64 1/2 (*.f64 y (/.f64 (/.f64 2 x) (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))) -1)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x) -1)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))) -1)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))) -1)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))) -1)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2)) 2)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) (*.f64 2 (/.f64 1 x)))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 y (+.f64 x x)) (/.f64 2 (sinh.f64 y)))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 1/4 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 (sinh.f64 y)))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2) 2)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 4)) (*.f64 (/.f64 y x) 4))
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1 (*.f64 4 (sinh.f64 y)))))
(*.f64 4 (*.f64 (/.f64 1/4 (sinh.f64 y)) (/.f64 y x)))
(*.f64 4 (*.f64 (/.f64 y x) (/.f64 1/4 (sinh.f64 y))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4)) (*.f64 y 4))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))) (neg.f64 y))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 (sinh.f64 y)))) (neg.f64 y))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (/.f64 -1 (*.f64 x (sinh.f64 y))) (neg.f64 y))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (/.f64 y x))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 y (sinh.f64 y)))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (/.f64 1/2 (*.f64 x (sinh.f64 y)))) y)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1)
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(neg.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(neg.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(neg.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(/.f64 (/.f64 y x) (sinh.f64 y))
(+.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)
(*.f64 x (/.f64 (sinh.f64 y) y))
(+.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(-.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 1 (*.f64 x (/.f64 (sinh.f64 y) y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (+.f64 x x) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 2 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 2 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) x))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) (sinh.f64 y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x y) 2))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x y) 1/2))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (+.f64 y y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) x))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) 2)) (/.f64 1 (+.f64 y y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1 (*.f64 4 (/.f64 y x)))))
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1/4 (/.f64 y x))))
(*.f64 (/.f64 x (*.f64 y 4)) (*.f64 4 (sinh.f64 y)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 4 (/.f64 y (sinh.f64 y)))))
(*.f64 4 (*.f64 (/.f64 1/4 (/.f64 y (sinh.f64 y))) x))
(*.f64 4 (*.f64 x (/.f64 (sinh.f64 y) (*.f64 y 4))))
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))) 1/2)
(*.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (/.f64 2 y) x)))
(*.f64 1/2 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y x)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sinh.f64 y))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 x y) (sinh.f64 y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 x y) (/.f64 2 (/.f64 2 (sinh.f64 y))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) x)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 x)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sinh.f64 y))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 x)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 1/2 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))))
(*.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (/.f64 2 y) x)))
(*.f64 (/.f64 (/.f64 x y) 2) (*.f64 (sinh.f64 y) 2))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (+.f64 x x))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (/.f64 x y) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sinh.f64 y) y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) (/.f64 1 y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 x y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 x (+.f64 y y)) (*.f64 (sinh.f64 y) 2))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 (+.f64 y y)) (*.f64 x (*.f64 (sinh.f64 y) 2)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sinh.f64 y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))) 2)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 (sinh.f64 y) 4))
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1 (*.f64 4 (/.f64 y x)))))
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1/4 (/.f64 y x))))
(*.f64 (/.f64 x (*.f64 y 4)) (*.f64 4 (sinh.f64 y)))
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 x 4))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 4 (/.f64 y (sinh.f64 y)))))
(*.f64 4 (*.f64 (/.f64 1/4 (/.f64 y (sinh.f64 y))) x))
(*.f64 4 (*.f64 x (/.f64 (sinh.f64 y) (*.f64 y 4))))
(*.f64 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2) 2)
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 x))
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (sinh.f64 y))
(*.f64 x (/.f64 (sinh.f64 y) y))
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)
(*.f64 x (/.f64 (sinh.f64 y) y))
(neg.f64 (neg.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sinh.f64 y))))
(*.f64 x (/.f64 (sinh.f64 y) y))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sinh.f64 y))) y))
(*.f64 x (/.f64 (sinh.f64 y) y))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 16 to 5 computations (68.8% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite83.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1552×rational.json-1
1552×rational.json-2
1552×rational.json-3
1548×rational.json-4
1532×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
1615
21935
36465
420545
556505
Stop Event
node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 y (/.f64 y (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) y))))) (#(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 (+.f64 y y) (/.f64 1/2 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (sin.f64 x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 (sin.f64 x) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) x))))))

simplify180.0ms (1.1%)

Algorithm
egg-herbie
Rules
1166×rational.json-simplify-35
1076×exponential.json-simplify-26
1050×rational.json-simplify-2
768×rational.json-simplify-53
628×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100427
1185427
2507427
32310427
45990427
Stop Event
node limit
Counts
67 → 55
Calls
Call 1
Inputs
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
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)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1)
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (sin.f64 x))))
(*.f64 (+.f64 y y) (*.f64 (/.f64 (sin.f64 x) y) 1/2))
(*.f64 (*.f64 (sin.f64 x) 2) 1/2)
(*.f64 2 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)))
(*.f64 2 (/.f64 (sin.f64 x) 2))
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) y))
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(*.f64 (*.f64 (sin.f64 x) 4) 1/4)
(*.f64 (/.f64 1 y) (*.f64 y (sin.f64 x)))
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(*.f64 (/.f64 (sin.f64 x) y) y)
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (/.f64 1 y)))
(*.f64 -1 (neg.f64 (sin.f64 x)))
(*.f64 -1 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (/.f64 y 2))
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 y))
(*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (+.f64 y y))
(*.f64 1/2 (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (+.f64 y y))
(*.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))) -1)
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 y 2) (*.f64 (sin.f64 x) (/.f64 2 y)))
(*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) 2)
(*.f64 (/.f64 (sin.f64 x) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 y 4))
(*.f64 1/4 (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 y))
(pow.f64 (sin.f64 x) 1)
(neg.f64 (neg.f64 (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))))
(sin.f64 x)
(sin.f64 (-.f64 (PI.f64) x))
Outputs
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.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 x (*.f64 1/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(+.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 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (+.f64 x (*.f64 1/120 (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 x (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (+.f64 x (*.f64 -1/5040 (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))
(sin.f64 x)
(+.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)))
(sin.f64 x)
(+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1)
(sin.f64 x)
(-.f64 (sin.f64 x) 0)
(sin.f64 x)
(-.f64 0 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 y (/.f64 (sin.f64 x) y))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (sin.f64 x))))
(sin.f64 x)
(*.f64 (+.f64 y y) (*.f64 (/.f64 (sin.f64 x) y) 1/2))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 2) 1/2)
(sin.f64 x)
(*.f64 2 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)))
(sin.f64 x)
(*.f64 2 (/.f64 (sin.f64 x) 2))
(sin.f64 x)
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) y))
(sin.f64 x)
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) 4) 1/4)
(sin.f64 x)
(*.f64 (/.f64 1 y) (*.f64 y (sin.f64 x)))
(sin.f64 x)
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (sin.f64 x))))
(sin.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) y) y)
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (/.f64 1 y)))
(sin.f64 x)
(*.f64 -1 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 -1 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (/.f64 y 2))
(sin.f64 x)
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 y))
(sin.f64 x)
(*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (+.f64 y y))
(sin.f64 x)
(*.f64 1/2 (*.f64 (sin.f64 x) 2))
(sin.f64 x)
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (+.f64 y y))
(sin.f64 x)
(*.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))) -1)
(sin.f64 x)
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (sin.f64 x) y))
(sin.f64 x)
(*.f64 (/.f64 y 2) (*.f64 (sin.f64 x) (/.f64 2 y)))
(sin.f64 x)
(*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) 2)
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) 2) 2)
(sin.f64 x)
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 y 4))
(sin.f64 x)
(*.f64 1/4 (*.f64 (sin.f64 x) 4))
(sin.f64 x)
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 y))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(neg.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))))
(sin.f64 x)
(sin.f64 x)
(sin.f64 (-.f64 (PI.f64) x))
(sin.f64 x)

eval1.5s (9.5%)

Compiler

Compiled 10623 to 5731 computations (46.1% saved)

prune387.0ms (2.4%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New7448752
Fresh011
Picked011
Done156
Total74515760
Error
0b
Counts
760 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
0.4b
(/.f64 y (/.f64 y (sin.f64 x)))
29.4b
(/.f64 y (/.f64 y x))
28.8b
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))))
28.8b
(/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))))
28.8b
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
29.3b
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y)))
29.5b
(/.f64 1 (/.f64 (/.f64 y x) y))
29.2b
(/.f64 1 (/.f64 1 x))
0.5b
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
28.8b
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
0.3b
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
28.8b
(*.f64 x (/.f64 (sinh.f64 y) y))
0.3b
(sin.f64 x)
29.1b
x
Compiler

Compiled 218 to 149 computations (31.7% saved)

localize404.0ms (2.5%)

Local error

Found 4 expressions with local error:

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

Compiled 28 to 11 computations (60.7% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite171.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1504×rational.json-1
1504×rational.json-2
1504×rational.json-4
1504×rational.json-3
1490×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
18732
221832
355432
4184632
5507932
Stop Event
node limit
Counts
2 → 182
Calls
Call 1
Inputs
(/.f64 1 (/.f64 y (sin.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 1 (*.f64 y (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (+.f64 y y)) (/.f64 (sin.f64 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) (*.f64 y (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) (/.f64 (*.f64 y 4) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) (*.f64 4 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simplify214.0ms (1.3%)

Algorithm
egg-herbie
Rules
1308×rational.json-simplify-2
1306×rational.json-simplify-35
952×rational.json-simplify-50
912×rational.json-simplify-1
648×rational.json-simplify-51
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04585240
114195230
243625230
367255230
Stop Event
node limit
Counts
230 → 240
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(+.f64 (/.f64 (sin.f64 x) y) 0)
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(+.f64 (/.f64 (sin.f64 x) (+.f64 y y)) (/.f64 (sin.f64 x) (+.f64 y y)))
(-.f64 (/.f64 (sin.f64 x) y) 0)
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(-.f64 0 (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 1 (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 x) y) 1)
(*.f64 2 (/.f64 (sin.f64 x) (+.f64 y y)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 x) y) 2))
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 y)))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 y))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 y) 1/2))
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) 1/2)
(*.f64 (/.f64 1 y) (sin.f64 x))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 y))
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 2 y)))
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) -1)
(*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) -1)
(*.f64 (/.f64 (sin.f64 x) (+.f64 y y)) 2)
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) 2) 2)
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 x) 4))
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) 2)
(pow.f64 (/.f64 (sin.f64 x) y) 1)
(neg.f64 (neg.f64 (/.f64 (sin.f64 x) y)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 0)
(+.f64 0 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))
(+.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))))
(-.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 0)
(-.f64 0 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (sin.f64 x) (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)
(/.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 y (/.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))))
(/.f64 4 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))) 2)
(/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (*.f64 y 4) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 4 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (/.f64 2 (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (*.f64 2 (/.f64 1 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 y (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))
(/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y))))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 (sinh.f64 y) y)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) y)) (/.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (/.f64 y (sin.f64 x)) 4))
(/.f64 8 (*.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y))))))
(/.f64 8 (+.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) (sinh.f64 y)) (/.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) (sinh.f64 y))))
(/.f64 8 (+.f64 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y))))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (*.f64 4 (/.f64 1 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (+.f64 (/.f64 2 (sinh.f64 y)) (/.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (+.f64 (*.f64 2 (/.f64 1 (sinh.f64 y))) (*.f64 2 (/.f64 1 (sinh.f64 y)))))
(/.f64 -2 (*.f64 2 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y)))))
(/.f64 -2 (*.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 1 (sinh.f64 y))))
(/.f64 -2 (+.f64 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))))
(/.f64 -2 (+.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y)))))
(/.f64 -2 (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4)) 4)
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (/.f64 (*.f64 y 4) (sinh.f64 y))))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (/.f64 (*.f64 2 (*.f64 y 4)) (sinh.f64 y)))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (+.f64 (*.f64 4 (/.f64 y (sinh.f64 y))) (*.f64 4 (/.f64 y (sinh.f64 y)))))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 2 (/.f64 (neg.f64 y) (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) -2) (/.f64 (*.f64 y -2) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 -1 (/.f64 (sinh.f64 y) y)) (/.f64 -1 (/.f64 (sinh.f64 y) y))))
(/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (*.f64 y (/.f64 2 (sinh.f64 y)))))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 y (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (/.f64 -1 (sinh.f64 y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (/.f64 1 (sinh.f64 y))))
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(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4))) 8)
(/.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) (*.f64 2 (/.f64 1 (sin.f64 x))))
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(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 y 4) (sinh.f64 y))) (*.f64 2 (/.f64 (*.f64 y 4) (sinh.f64 y)))))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) -2)) (+.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) (/.f64 (*.f64 y -2) (sinh.f64 y))))
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(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) 4)) (+.f64 (*.f64 4 (/.f64 1 (sinh.f64 y))) (*.f64 4 (/.f64 1 (sinh.f64 y)))))
(/.f64 -4 (+.f64 (*.f64 2 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y))))))
(/.f64 -4 (+.f64 (*.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 1 (sinh.f64 y))) (*.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 1 (sinh.f64 y)))))
(/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 4)) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sin.f64 x) (/.f64 2 y))) (+.f64 (/.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 y (sinh.f64 y))) 4)
(/.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 y (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) y)
(/.f64 (/.f64 2 (/.f64 1 (sinh.f64 y))) (*.f64 y (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y))) (+.f64 y y))
(/.f64 (/.f64 4 (/.f64 1 (sinh.f64 y))) (*.f64 (/.f64 y (sin.f64 x)) 4))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y))) (*.f64 y 4))
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (neg.f64 (/.f64 y (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 8 (/.f64 1 (sinh.f64 y))) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y))) 4)
(/.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))
(/.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (*.f64 y -2))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) 4)
(/.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))) -1)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y) (*.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 1/2)
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) 2) (/.f64 (/.f64 y (sin.f64 x)) 2))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 y (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 4)) (neg.f64 (/.f64 (*.f64 y 4) (sinh.f64 y))))
(/.f64 (+.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y) (/.f64 (*.f64 (sinh.f64 y) 2) y)) (+.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 2 (/.f64 1 (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x)))) 8)
(/.f64 (+.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (*.f64 (sinh.f64 y) 2))) (*.f64 2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4))) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4)))) 16)
(/.f64 (+.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) (*.f64 2 (/.f64 (sinh.f64 y) y))) (+.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 2 (/.f64 1 (sin.f64 x)))))
(/.f64 (+.f64 (*.f64 2 (neg.f64 (sinh.f64 y))) (*.f64 2 (neg.f64 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))))
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 y (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 y (sinh.f64 y)))) 8)
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 1 (/.f64 1 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) (+.f64 y y))
(/.f64 (+.f64 (/.f64 2 (/.f64 1 (sinh.f64 y))) (/.f64 2 (/.f64 1 (sinh.f64 y)))) (*.f64 (/.f64 y (sin.f64 x)) 4))
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y)))) (*.f64 y 4))
(/.f64 (+.f64 (/.f64 4 (/.f64 1 (sinh.f64 y))) (/.f64 4 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 y 4)))
(/.f64 (+.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (/.f64 -1 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) (*.f64 y -2))
(/.f64 (+.f64 (/.f64 8 (/.f64 1 (sinh.f64 y))) (/.f64 8 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4))))
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y)))) 8)
(/.f64 (+.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))))
(/.f64 (+.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))))
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 y -2)))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))) (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))) -2)
(/.f64 (+.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (+.f64 y y))
(/.f64 (+.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (neg.f64 (/.f64 (sinh.f64 y) y))) (+.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (sin.f64 x)))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y)) (neg.f64 (*.f64 2 (/.f64 1 (sin.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (*.f64 y (/.f64 2 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))))
(/.f64 (neg.f64 (/.f64 1 (/.f64 1 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y)))) (*.f64 y -2))
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y 4)))
(/.f64 (neg.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))) (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y)))) (/.f64 y (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) y)
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (+.f64 y y))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y -2)))
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y))) (neg.f64 (/.f64 1/2 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sinh.f64 y) y))) (/.f64 1 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x))))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))))
Outputs
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) y))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) y))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6)))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6)) (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6)) (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 6) 1/5040)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6))))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4))) (*.f64 (sin.f64 x) (*.f64 1/5040 (pow.f64 y 6))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.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)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.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)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.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)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.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)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.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)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.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)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.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)))) y))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (*.f64 -1/12 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)))
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(/.f64 (+.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (/.f64 -1 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) (*.f64 y -2))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (/.f64 8 (/.f64 1 (sinh.f64 y))) (/.f64 8 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y)))) 8)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 y -2)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))) (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))) -2)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (+.f64 y y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (neg.f64 (/.f64 (sinh.f64 y) y))) (+.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (+.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y)) (neg.f64 (*.f64 2 (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (*.f64 y (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 1 (/.f64 1 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) (neg.f64 y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y)))) (*.f64 y -2))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) 4)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y 4)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))) (neg.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y)))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) y)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (+.f64 y y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y -2)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (neg.f64 y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y))) (neg.f64 (/.f64 1/2 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sinh.f64 y) y))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

localize66.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite88.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1922×rational.json-1
1922×rational.json-2
1922×rational.json-4
1922×rational.json-3
1160×rational.json-simplify-35
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
1531
21431
33331
414151
557551
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (+.f64 x x)) (/.f64 (*.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) 2) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 2 (*.f64 x x))) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
1306×rational.json-simplify-2
720×rational.json-simplify-49
670×rational.json-simplify-59
632×rational.json-simplify-51
578×rational.json-simplify-47
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07048
114448
248848
3367148
Stop Event
node limit
Counts
48 → 37
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 x (/.f64 0 (/.f64 1 (*.f64 x x))))
(+.f64 x (/.f64 0 (*.f64 x x)))
(+.f64 0 x)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(+.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x x)) (/.f64 (*.f64 x x) (+.f64 x x)))
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 x (/.f64 x x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 2 (/.f64 x 2))
(*.f64 2 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(*.f64 (+.f64 x x) 1/2)
(*.f64 (/.f64 2 x) (/.f64 1 (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x))))
(*.f64 (*.f64 x x) (/.f64 1 x))
(*.f64 (*.f64 x 4) 1/4)
(*.f64 -1 (neg.f64 x))
(*.f64 (neg.f64 x) -1)
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (/.f64 2 (*.f64 x x))))
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 1 x) 2))
(*.f64 1/2 (+.f64 x x))
(*.f64 (/.f64 x x) x)
(*.f64 (/.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))
(*.f64 1/4 (*.f64 x 4))
(*.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x))
(*.f64 (/.f64 x 2) 2)
(*.f64 (/.f64 (/.f64 1 x) 2) (*.f64 x (+.f64 x x)))
(*.f64 (/.f64 x (/.f64 2 (*.f64 x x))) (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) 2)
(pow.f64 x 1)
(neg.f64 (neg.f64 x))
(neg.f64 (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 x (/.f64 0 (/.f64 1 (*.f64 x x))))
x
(+.f64 x (/.f64 0 (*.f64 x x)))
x
(+.f64 0 x)
x
(+.f64 -1 (-.f64 1 (neg.f64 x)))
x
(+.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 2 x)))
x
(+.f64 (/.f64 (*.f64 x x) (+.f64 x x)) (/.f64 (*.f64 x x) (+.f64 x x)))
x
(-.f64 x 0)
x
(-.f64 0 (neg.f64 x))
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 x (/.f64 x x))
x
(*.f64 (/.f64 1 x) (*.f64 x x))
x
(*.f64 2 (/.f64 x 2))
x
(*.f64 2 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 (/.f64 2 x) (/.f64 1 (/.f64 2 (*.f64 x x))))
x
(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x))))
x
(*.f64 (*.f64 x x) (/.f64 1 x))
x
(*.f64 (*.f64 x 4) 1/4)
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (/.f64 2 (*.f64 x x))))
x
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 1 x) 2))
x
(*.f64 1/2 (+.f64 x x))
x
(*.f64 (/.f64 x x) x)
x
(*.f64 (/.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))
x
(*.f64 1/4 (*.f64 x 4))
x
(*.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x))
x
(*.f64 (/.f64 x 2) 2)
x
(*.f64 (/.f64 (/.f64 1 x) 2) (*.f64 x (+.f64 x x)))
x
(*.f64 (/.f64 x (/.f64 2 (*.f64 x x))) (/.f64 2 (*.f64 x x)))
x
(*.f64 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) 2)
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x
(neg.f64 (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
x

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (/.f64 y x) y))
11.4b
(/.f64 (/.f64 y x) y)
Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite104.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1904×rational.json-1
1904×rational.json-2
1904×rational.json-3
1764×rational.json-simplify-35
916×exponential.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0826
17326
22348
37268
424798
568798
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(/.f64 (/.f64 y x) y)
(/.f64 1 (/.f64 (/.f64 y x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 (/.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 y (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) x) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (/.f64 2 x)) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 y) x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (/.f64 1/2 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 x) y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 (/.f64 1 y) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (*.f64 x 4))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (neg.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 1/2 y) x) (/.f64 (/.f64 1/2 y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y x) (neg.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y y)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (/.f64 (/.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (neg.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify109.0ms (0.7%)

Algorithm
egg-herbie
Rules
1076×rational.json-simplify-51
1036×rational.json-simplify-44
824×rational.json-simplify-47
816×rational.json-simplify-46
786×rational.json-simplify-35
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0182835
1362799
21031799
34907799
46864799
Stop Event
node limit
Counts
157 → 119
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (/.f64 1 x) 0)
(+.f64 0 (/.f64 1 x))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(-.f64 (/.f64 1 x) 0)
(-.f64 0 (neg.f64 (/.f64 1 x)))
(*.f64 y (/.f64 (/.f64 1 x) y))
(*.f64 (/.f64 y x) (/.f64 1 y))
(*.f64 (/.f64 1 x) 1)
(*.f64 1 (/.f64 1 x))
(*.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) x))
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 y) (/.f64 1/2 x)))
(*.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 x) y) 1/2))
(*.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 y))
(*.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 y) 1/2))
(*.f64 2 (/.f64 1/2 x))
(*.f64 2 (*.f64 y (/.f64 (/.f64 1/2 y) x)))
(*.f64 2 (/.f64 (/.f64 y x) (+.f64 y y)))
(*.f64 2 (/.f64 y (*.f64 x (+.f64 y y))))
(*.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y x)))
(*.f64 (/.f64 2 x) 1/2)
(*.f64 (*.f64 2 (/.f64 2 x)) 1/4)
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 y (*.f64 x 4))))
(*.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (/.f64 1 y) (/.f64 y x))
(*.f64 (/.f64 (/.f64 1 x) y) y)
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 y x)))
(*.f64 -1 (neg.f64 (/.f64 1 x)))
(*.f64 -1 (/.f64 y (*.f64 y (neg.f64 x))))
(*.f64 -1 (/.f64 (neg.f64 y) (*.f64 y x)))
(*.f64 -1 (/.f64 (/.f64 y x) (neg.f64 y)))
(*.f64 (neg.f64 (/.f64 1 x)) -1)
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 -1 y))
(*.f64 (*.f64 (/.f64 1 y) (/.f64 2 x)) (/.f64 y 2))
(*.f64 (/.f64 2 y) (/.f64 (/.f64 y x) 2))
(*.f64 (/.f64 1/2 y) (*.f64 y (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1/2 y) x) (+.f64 y y))
(*.f64 1/2 (/.f64 2 x))
(*.f64 (/.f64 1/2 x) 2)
(*.f64 (*.f64 (/.f64 1 y) (/.f64 1/2 x)) (+.f64 y y))
(*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 (*.f64 (/.f64 (/.f64 1 x) y) 1/2) (+.f64 y y))
(*.f64 (/.f64 -1 y) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y (*.f64 y (neg.f64 x))) -1)
(*.f64 (/.f64 (neg.f64 y) (*.f64 y x)) -1)
(*.f64 (/.f64 (/.f64 y x) (neg.f64 y)) -1)
(*.f64 (/.f64 y 2) (*.f64 (/.f64 1 y) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 y x) (+.f64 y y)) 2)
(*.f64 1/4 (*.f64 2 (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 y))
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (/.f64 y x) 4))
(*.f64 (/.f64 y (*.f64 x (+.f64 y y))) 2)
(*.f64 (/.f64 1 (*.f64 y (*.f64 x 4))) (*.f64 y 4))
(*.f64 (/.f64 1 (*.f64 y (neg.f64 x))) (neg.f64 y))
(*.f64 (/.f64 -1 (*.f64 y x)) (neg.f64 y))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 y x))
(*.f64 (+.f64 (/.f64 (/.f64 1/2 y) x) (/.f64 (/.f64 1/2 y) x)) y)
(pow.f64 (/.f64 1 x) 1)
(neg.f64 (neg.f64 (/.f64 1 x)))
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 y x)))
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 y)))
(+.f64 x 0)
(+.f64 0 x)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(*.f64 y (/.f64 x y))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2))
(*.f64 (+.f64 y y) (*.f64 (/.f64 x y) 1/2))
(*.f64 (+.f64 y y) (/.f64 x (+.f64 y y)))
(*.f64 (+.f64 x x) 1/2)
(*.f64 2 (*.f64 y (/.f64 (/.f64 x y) 2)))
(*.f64 2 (/.f64 y (*.f64 y (/.f64 2 x))))
(*.f64 2 (/.f64 x 2))
(*.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 y x)))
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(*.f64 (*.f64 x 4) 1/4)
(*.f64 (*.f64 x (+.f64 y y)) (/.f64 1/2 y))
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 (/.f64 1 x) y)))
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x)))
(*.f64 -1 (neg.f64 x))
(*.f64 -1 (/.f64 y (/.f64 (neg.f64 y) x)))
(*.f64 (neg.f64 x) -1)
(*.f64 (/.f64 x y) y)
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))
(*.f64 (/.f64 1/2 y) (*.f64 x (+.f64 y y)))
(*.f64 1/2 (+.f64 x x))
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y))
(*.f64 (*.f64 (/.f64 x y) 1/2) (+.f64 y y))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))
(*.f64 (/.f64 y (/.f64 (neg.f64 y) x)) -1)
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y))
(*.f64 (/.f64 y (*.f64 y (/.f64 2 x))) 2)
(*.f64 (/.f64 x (+.f64 y y)) (+.f64 y y))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(*.f64 (/.f64 x 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 y 4))
(*.f64 1/4 (*.f64 x 4))
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) y)
(pow.f64 x 1)
(neg.f64 (neg.f64 x))
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (/.f64 1 x) 0)
(/.f64 1 x)
(+.f64 0 (/.f64 1 x))
(/.f64 1 x)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 0)
(/.f64 1 x)
(-.f64 0 (neg.f64 (/.f64 1 x)))
(/.f64 1 x)
(*.f64 y (/.f64 (/.f64 1 x) y))
(/.f64 1 x)
(*.f64 (/.f64 y x) (/.f64 1 y))
(/.f64 1 x)
(*.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(*.f64 1 (/.f64 1 x))
(/.f64 1 x)
(*.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) x))
(/.f64 1 x)
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 y) (/.f64 1/2 x)))
(/.f64 1 x)
(*.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 x) y) 1/2))
(/.f64 1 x)
(*.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 y))
(/.f64 1 x)
(*.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 y) 1/2))
(/.f64 1 x)
(*.f64 2 (/.f64 1/2 x))
(/.f64 1 x)
(*.f64 2 (*.f64 y (/.f64 (/.f64 1/2 y) x)))
(/.f64 1 x)
(*.f64 2 (/.f64 (/.f64 y x) (+.f64 y y)))
(/.f64 1 x)
(*.f64 2 (/.f64 y (*.f64 x (+.f64 y y))))
(/.f64 1 x)
(*.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y x)))
(/.f64 1 x)
(*.f64 (/.f64 2 x) 1/2)
(/.f64 1 x)
(*.f64 (*.f64 2 (/.f64 2 x)) 1/4)
(/.f64 1 x)
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 y (*.f64 x 4))))
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 x (*.f64 y 4)))))
(*.f64 (*.f64 y 4) (/.f64 (/.f64 1/4 y) x))
(*.f64 y (*.f64 4 (/.f64 1/4 (*.f64 x y))))
(*.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1 (*.f64 y 4))))
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1/4 y)))
(*.f64 (/.f64 1 y) (/.f64 y x))
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 1 x) y) y)
(/.f64 1 x)
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))
(/.f64 1 x)
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 y x)))
(/.f64 1 x)
(*.f64 -1 (neg.f64 (/.f64 1 x)))
(/.f64 1 x)
(*.f64 -1 (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 1 x)
(*.f64 -1 (/.f64 (neg.f64 y) (*.f64 y x)))
(/.f64 1 x)
(*.f64 -1 (/.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 1 x)
(*.f64 (neg.f64 (/.f64 1 x)) -1)
(/.f64 1 x)
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 -1 y))
(/.f64 1 x)
(*.f64 (*.f64 (/.f64 1 y) (/.f64 2 x)) (/.f64 y 2))
(/.f64 1 x)
(*.f64 (/.f64 2 y) (/.f64 (/.f64 y x) 2))
(/.f64 1 x)
(*.f64 (/.f64 1/2 y) (*.f64 y (/.f64 2 x)))
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 1/2 y) x) (+.f64 y y))
(/.f64 1 x)
(*.f64 1/2 (/.f64 2 x))
(/.f64 1 x)
(*.f64 (/.f64 1/2 x) 2)
(/.f64 1 x)
(*.f64 (*.f64 (/.f64 1 y) (/.f64 1/2 x)) (+.f64 y y))
(/.f64 1 x)
(*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 y (/.f64 2 x)))
(/.f64 1 x)
(*.f64 (*.f64 (/.f64 (/.f64 1 x) y) 1/2) (+.f64 y y))
(/.f64 1 x)
(*.f64 (/.f64 -1 y) (/.f64 (neg.f64 y) x))
(/.f64 1 x)
(*.f64 (/.f64 y (*.f64 y (neg.f64 x))) -1)
(/.f64 1 x)
(*.f64 (/.f64 (neg.f64 y) (*.f64 y x)) -1)
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 y x) (neg.f64 y)) -1)
(/.f64 1 x)
(*.f64 (/.f64 y 2) (*.f64 (/.f64 1 y) (/.f64 2 x)))
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 y x) (+.f64 y y)) 2)
(/.f64 1 x)
(*.f64 1/4 (*.f64 2 (/.f64 2 x)))
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 y))
(/.f64 1 x)
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (/.f64 y x) 4))
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1 (*.f64 y 4))))
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1/4 y)))
(*.f64 (/.f64 y (*.f64 x (+.f64 y y))) 2)
(/.f64 1 x)
(*.f64 (/.f64 1 (*.f64 y (*.f64 x 4))) (*.f64 y 4))
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 x (*.f64 y 4)))))
(*.f64 (*.f64 y 4) (/.f64 (/.f64 1/4 y) x))
(*.f64 y (*.f64 4 (/.f64 1/4 (*.f64 x y))))
(*.f64 (/.f64 1 (*.f64 y (neg.f64 x))) (neg.f64 y))
(/.f64 1 x)
(*.f64 (/.f64 -1 (*.f64 y x)) (neg.f64 y))
(/.f64 1 x)
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 y x))
(/.f64 1 x)
(*.f64 (+.f64 (/.f64 (/.f64 1/2 y) x) (/.f64 (/.f64 1/2 y) x)) y)
(/.f64 1 x)
(pow.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(neg.f64 (neg.f64 (/.f64 1 x)))
(/.f64 1 x)
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 1 x)
(neg.f64 (/.f64 (neg.f64 y) (*.f64 y x)))
(/.f64 1 x)
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 1 x)
(+.f64 x 0)
x
(+.f64 0 x)
x
(+.f64 -1 (-.f64 1 (neg.f64 x)))
x
(-.f64 x 0)
x
(-.f64 0 (neg.f64 x))
x
(*.f64 y (/.f64 x y))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2))
x
(*.f64 (+.f64 y y) (*.f64 (/.f64 x y) 1/2))
x
(*.f64 (+.f64 y y) (/.f64 x (+.f64 y y)))
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 2 (*.f64 y (/.f64 (/.f64 x y) 2)))
x
(*.f64 2 (/.f64 y (*.f64 y (/.f64 2 x))))
x
(*.f64 2 (/.f64 x 2))
x
(*.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 y x)))
x
(*.f64 (*.f64 y x) (/.f64 1 y))
x
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 (/.f64 y x) 4))))
(*.f64 y (*.f64 4 (/.f64 1/4 (/.f64 y x))))
(*.f64 4 (*.f64 y (/.f64 x (/.f64 y 1/4))))
(*.f64 (*.f64 x 4) 1/4)
x
(*.f64 (*.f64 x (+.f64 y y)) (/.f64 1/2 y))
x
(*.f64 (/.f64 1 y) (*.f64 y x))
x
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 (/.f64 1 x) y)))
x
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x)))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 -1 (/.f64 y (/.f64 (neg.f64 y) x)))
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (/.f64 x y) y)
x
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))
x
(*.f64 (/.f64 1/2 y) (*.f64 x (+.f64 y y)))
x
(*.f64 1/2 (+.f64 x x))
x
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y))
x
(*.f64 (*.f64 (/.f64 x y) 1/2) (+.f64 y y))
x
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))
x
(*.f64 (/.f64 y (/.f64 (neg.f64 y) x)) -1)
x
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y))
x
(*.f64 (/.f64 y (*.f64 y (/.f64 2 x))) 2)
x
(*.f64 (/.f64 x (+.f64 y y)) (+.f64 y y))
x
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
x
(*.f64 (/.f64 x 2) 2)
x
(*.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 y 4))
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 (/.f64 y x) 4))))
(*.f64 y (*.f64 4 (/.f64 1/4 (/.f64 y x))))
(*.f64 4 (*.f64 y (/.f64 x (/.f64 y 1/4))))
(*.f64 1/4 (*.f64 x 4))
x
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) y)
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
x
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))
x

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 14 computations (61.1% saved)

series84.0ms (0.5%)

Counts
3 → 39
Calls

18 calls:

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

rewrite94.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1922×rational.json-1
1922×rational.json-2
1922×rational.json-4
1922×rational.json-3
1908×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
17269
219169
350869
4140869
5506569
Stop Event
node limit
Counts
3 → 87
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 y x))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y 2) (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))))
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simplify177.0ms (1.1%)

Algorithm
egg-herbie
Rules
1010×rational.json-simplify-1
920×rational.json-simplify-51
898×rational.json-simplify-39
864×rational.json-simplify-43
628×rational.json-simplify-53
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02153702
14873694
210943502
339803502
469233486
Stop Event
node limit
Counts
126 → 126
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
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(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))
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(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
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(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
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(*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)
(*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 2)
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) (*.f64 y 4))
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y))
(pow.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1)
(neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 0)
(-.f64 0 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(*.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(*.f64 y (*.f64 (*.f64 2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)
(*.f64 1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))
(*.f64 (+.f64 y y) (*.f64 1/2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)))
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 1/6 x) 2)))
(*.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 1/2)
(*.f64 2 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2))
(*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 1))
(*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1/2))
(*.f64 2 (*.f64 (/.f64 y 2) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (*.f64 y 4) (*.f64 1/4 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 1/4)
(*.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)
(*.f64 -1 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(*.f64 1/2 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))))
(*.f64 1/2 (*.f64 (+.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)))
(*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 2)
(/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)
(/.f64 1 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 2)
(/.f64 2 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 4)
(/.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8) 8)
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) -2) -2)
(/.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(/.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) -2)
(/.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (/.f64 1 y))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8)) 16)
(pow.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)
(neg.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
Outputs
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/36 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 5))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) (+.f64 x (*.f64 -1/216 (pow.f64 x 7)))))
(+.f64 (*.f64 1/36 (pow.f64 x 5)) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 -1/216 (pow.f64 x 7))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) (*.f64 -1/216 (pow.f64 x 7)))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (/.f64 1 x) 6) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (/.f64 1 x) 6) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) y))
(*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) (neg.f64 y))
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) y))
(*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) (neg.f64 y))
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) y))
(*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) (neg.f64 y))
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) y))
(*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) (neg.f64 y))
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 y x)
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(+.f64 (*.f64 1/6 (*.f64 y x)) 0)
(*.f64 1/6 (*.f64 x y))
(+.f64 0 (*.f64 1/6 (*.f64 y x)))
(*.f64 1/6 (*.f64 x y))
(-.f64 (*.f64 1/6 (*.f64 y x)) 0)
(*.f64 1/6 (*.f64 x y))
(/.f64 (*.f64 1/6 (*.f64 y x)) 1)
(*.f64 1/6 (*.f64 x y))
(/.f64 (*.f64 x (*.f64 1/3 y)) 2)
(*.f64 1/6 (*.f64 x y))
(/.f64 (*.f64 (*.f64 y x) 2/3) 4)
(*.f64 1/6 (*.f64 x y))
(/.f64 (*.f64 2 (*.f64 (*.f64 y x) 2/3)) 8)
(*.f64 1/6 (*.f64 x y))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y x) 2/3)) (*.f64 2 (*.f64 (*.f64 y x) 2/3))) 16)
(*.f64 1/6 (*.f64 x y))
(pow.f64 (*.f64 1/6 (*.f64 y x)) 1)
(*.f64 1/6 (*.f64 x y))
(+.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0)
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(+.f64 0 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(+.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))))
(+.f64 (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))))
(*.f64 2 (/.f64 y (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(-.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0)
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 y (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 y (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 y (*.f64 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) 1/2))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 y (*.f64 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1)
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 1 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (+.f64 y y) (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) 1))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) 1/2))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 2 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))))
(+.f64 (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))))
(*.f64 2 (/.f64 y (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(*.f64 2 (*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 1))
(+.f64 (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))))
(*.f64 2 (/.f64 y (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(*.f64 2 (*.f64 (/.f64 y 2) (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 2 (*.f64 y (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) y))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (*.f64 y 4) (*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) 1))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2) 1/2)
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (neg.f64 y) (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (neg.f64 y) (*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 -1 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 -1 (*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 1/2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (+.f64 y y))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) (+.f64 y y))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 2)
(+.f64 (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))))
(+.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))))
(*.f64 2 (/.f64 y (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) (*.f64 y 4))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(pow.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1)
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 0)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(-.f64 0 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (*.f64 (*.f64 2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 y y) (*.f64 1/2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)))
(*.f64 2 (*.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)) y))
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 1/6 x) 2)))
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)))
(*.f64 2 (*.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)) y))
(*.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 1/2)
(*.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 1/2)
(*.f64 (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))) 1/2)
(*.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 1/2)
(*.f64 2 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 1))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1/2))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 2 (*.f64 (/.f64 y 2) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (*.f64 y 4) (*.f64 1/4 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 1/4)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 -1 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 1/2 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))))
(*.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 1/2)
(*.f64 (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))) 1/2)
(*.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 1/2)
(*.f64 1/2 (*.f64 (+.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 2)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 1 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 2)
(*.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 1/2)
(*.f64 (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))) 1/2)
(*.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 1/2)
(/.f64 2 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 4)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8) 8)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) -2) -2)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) -2)
(*.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 1/2)
(*.f64 (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))) 1/2)
(*.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 1/2)
(/.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (/.f64 1 y))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8)) 16)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(pow.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(neg.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 18 computations (50% saved)

series2.0ms (0%)

Counts
4 → 84
Calls

21 calls:

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

rewrite83.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1916×rational.json-1
1916×rational.json-2
1916×rational.json-4
1916×rational.json-3
1902×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01076
17276
219176
350876
4140876
5507776
Stop Event
node limit
Counts
4 → 96
Calls
Call 1
Inputs
(*.f64 x 1/6)
(*.f64 y (*.f64 x 1/6))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))))
(+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/6 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 1/6 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x y) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x y) 2/3)) (*.f64 2 (*.f64 (*.f64 x y) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/6 y)) 1)))))
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simplify970.0ms (6.1%)

Algorithm
egg-herbie
Rules
1974×rational.json-simplify-35
1548×rational.json-simplify-51
1332×rational.json-simplify-53
1222×rational.json-simplify-39
1106×rational.json-simplify-2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02324248
15334198
216974198
331294198
465584182
Stop Event
node limit
Counts
180 → 145
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
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(*.f64 1/6 (*.f64 y x))
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
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(*.f64 1/6 (*.f64 y x))
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(/.f64 (*.f64 2 (*.f64 x 2/3)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16)
(pow.f64 (*.f64 x 1/6) 1)
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(+.f64 0 (*.f64 x (*.f64 1/6 y)))
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(/.f64 (*.f64 (*.f64 x y) 2/3) 4)
(/.f64 (*.f64 2 (*.f64 (*.f64 x y) 2/3)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x y) 2/3)) (*.f64 2 (*.f64 (*.f64 x y) 2/3))) 16)
(pow.f64 (*.f64 x (*.f64 1/6 y)) 1)
(+.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 0)
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(-.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 0)
(*.f64 y (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(*.f64 y (*.f64 2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(*.f64 y (*.f64 (*.f64 2 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2))
(*.f64 y (*.f64 (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2))
(*.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1)
(*.f64 1 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(*.f64 (+.f64 y y) (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2))
(*.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2) 1))
(*.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2))
(*.f64 2 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2))
(*.f64 2 (*.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2) 1))
(*.f64 2 (*.f64 (/.f64 y 2) (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(*.f64 2 (*.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2))
(*.f64 2 (*.f64 y (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y))
(*.f64 (*.f64 y 4) (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)))
(*.f64 (*.f64 y 4) (*.f64 (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) 1))
(*.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(*.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(*.f64 (*.f64 y (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2)
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y)
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(*.f64 (neg.f64 y) (*.f64 (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1))
(*.f64 -1 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(*.f64 -1 (*.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1))
(*.f64 1/2 (*.f64 y (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(*.f64 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) (+.f64 y y))
(*.f64 (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2) (+.f64 y y))
(*.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) -1)
(*.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2) 2)
(*.f64 (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) (*.f64 y 4))
(*.f64 (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) (neg.f64 y))
(pow.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1)
(neg.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(-.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 0)
(-.f64 0 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))
(*.f64 y (*.f64 (*.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1/2))
(*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1)
(*.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))
(*.f64 (+.f64 y y) (*.f64 1/2 (+.f64 (*.f64 x 1/6) (/.f64 1 x))))
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)))
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 x 1/6) 2)))
(*.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3))) 1/2)
(*.f64 2 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2))
(*.f64 2 (*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2) 1))
(*.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1/2))
(*.f64 2 (*.f64 (/.f64 y 2) (+.f64 (*.f64 x 1/6) (/.f64 1 x))))
(*.f64 (*.f64 y 4) (*.f64 1/4 (+.f64 (*.f64 x 1/6) (/.f64 1 x))))
(*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4) 1/4)
(*.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) -1)
(*.f64 -1 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(*.f64 1/2 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3))))
(*.f64 1/2 (*.f64 (+.f64 y y) (+.f64 (*.f64 x 1/6) (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) y)
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2) 2)
(*.f64 1/4 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4))
(/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1)
(/.f64 1 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(/.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3))) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(/.f64 2 (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4) 4)
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) -1)
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8) 8)
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) -2) -2)
(/.f64 1/2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3)))) -2)
(/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y))
(/.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) 16)
(pow.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1)
(neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/36 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 1/36 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 5))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) (+.f64 x (*.f64 -1/216 (pow.f64 x 7)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (*.f64 1/36 (pow.f64 x 5)))))
(+.f64 (+.f64 x (*.f64 -1/216 (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 5))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) (*.f64 216 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (/.f64 1 x) 6) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) (*.f64 216 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (/.f64 1 x) 6) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(*.f64 y (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) -1))
(*.f64 y (neg.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x))))
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(*.f64 y (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) -1))
(*.f64 y (neg.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x))))
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(*.f64 y (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) -1))
(*.f64 y (neg.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x))))
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(*.f64 y (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) -1))
(*.f64 y (neg.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x))))
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 x (*.f64 1/6 y))
(*.f64 1/6 (*.f64 x y))
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x))
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(/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y))
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(/.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) 16)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(pow.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1)
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x)))

eval431.0ms (2.7%)

Compiler

Compiled 10716 to 6214 computations (42% saved)

prune143.0ms (0.9%)

Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New74810758
Fresh224
Picked011
Done2810
Total75221773
Error
0b
Counts
773 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
28.9b
(/.f64 y (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y)))
0.4b
(/.f64 y (/.f64 y (sin.f64 x)))
29.0b
(/.f64 y (/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
28.8b
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))))
28.8b
(/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))))
28.8b
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
62.0b
(/.f64 y (*.f64 1/6 (*.f64 y x)))
61.6b
(/.f64 6 x)
29.3b
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y)))
28.8b
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
0.5b
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
28.9b
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y)
47.1b
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))
28.9b
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y)
45.8b
(*.f64 (/.f64 1 y) (*.f64 y x))
28.9b
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y))
0.3b
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
28.8b
(*.f64 x (/.f64 (sinh.f64 y) y))
0.3b
(sin.f64 x)
29.1b
x
Compiler

Compiled 225 to 159 computations (29.3% saved)

regimes70.0ms (0.4%)

Counts
30 → 1
Calls
Call 1
Inputs
x
(/.f64 6 x)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(*.f64 (/.f64 1 y) (*.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) y))
(/.f64 y (*.f64 1/6 (*.f64 y x)))
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))))
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y)
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 y (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y)))
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y))
(/.f64 y (/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(sin.f64 x)
(*.f64 x (/.f64 (sinh.f64 y) y))
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 y (/.f64 y (sin.f64 x)))
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x)))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)))
(/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

17.0ms
y
14.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms
(sin.f64 x)
14.0ms
x
6.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b1(sin.f64 x)
0.0b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 283 to 153 computations (45.9% saved)

regimes41.0ms (0.3%)

Counts
23 → 1
Calls
Call 1
Inputs
x
(/.f64 6 x)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(*.f64 (/.f64 1 y) (*.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) y))
(/.f64 y (*.f64 1/6 (*.f64 y x)))
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))))
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y)
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 y (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y)))
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y))
(/.f64 y (/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(sin.f64 x)
(*.f64 x (/.f64 (sinh.f64 y) y))
(/.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 y (/.f64 y (sin.f64 x)))
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y)))
Outputs
(sin.f64 x)
Calls

4 calls:

11.0ms
y
11.0ms
(sin.f64 x)
10.0ms
x
3.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
0.3b1(sin.f64 x)
0.3b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 211 to 125 computations (40.8% saved)

regimes22.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
x
(/.f64 6 x)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(*.f64 (/.f64 1 y) (*.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) y))
(/.f64 y (*.f64 1/6 (*.f64 y x)))
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))))
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))))
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y)
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 y (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y)))
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y))
(/.f64 y (/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
Outputs
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
Calls

2 calls:

9.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
28.8b1x
28.8b1y
Compiler

Compiled 173 to 105 computations (39.3% saved)

regimes15.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
x
(/.f64 6 x)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(*.f64 (/.f64 1 y) (*.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) y))
(/.f64 y (*.f64 1/6 (*.f64 y x)))
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))
Outputs
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
Calls

2 calls:

6.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
28.8b1x
28.8b1y
Compiler

Compiled 72 to 46 computations (36.1% saved)

regimes11.0ms (0.1%)

Accuracy

Total -33.4b remaining (-114.9%)

Threshold costs -33.4b (-114.9%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(/.f64 6 x)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(*.f64 (/.f64 1 y) (*.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) y))
(/.f64 y (*.f64 1/6 (*.f64 y x)))
Outputs
x
Calls

2 calls:

5.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
29.1b1x
29.1b1y
Compiler

Compiled 43 to 24 computations (44.2% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02283
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
x
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))))
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))
x
Compiler

Compiled 40 to 28 computations (30% saved)

soundness0.0ms (0%)

end29.0ms (0.2%)

Compiler

Compiled 32 to 19 computations (40.6% saved)

Profiling

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