Details

Time bar (total: 14.4s)

analyze138.0ms (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
25%25%74.9%0.1%0%0%0%5
26.7%25%68.7%0.1%6.2%0%0%6
48.3%43.7%46.8%0.1%9.4%0%0%7
50.9%43.7%42.1%0.1%14%0%0%8
56.1%46.8%36.7%0.1%16.4%0%0%9
58%46.8%34%0.1%19.1%0%0%10
60.9%48.4%31%0.1%20.5%0%0%11
62.1%48.4%29.6%0.1%22%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample7.3s (50.7%)

Results
2.5s2054×body1024valid
1.9s5183×body256valid
1.6s2117×body1024infinite
584.0ms1016×body512valid
451.0ms1037×body512infinite
255.0ms1518×body256infinite
4.0msbody2048valid
Bogosity

preprocess122.0ms (0.8%)

Algorithm
egg-herbie
Rules
1526×rational.json-simplify-35
1158×rational.json-simplify-26
1054×rational.json-simplify-1
716×rational.json-simplify-43
674×rational.json-simplify-52
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
12742
23742
35842
49942
520442
651042
783042
8156242
9223642
10388242
11623542
12754142
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 y) (/.f64 (sin.f64 x) x))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 y) (/.f64 (sin.f64 x) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify107.0ms (0.7%)

Algorithm
egg-herbie
Rules
1676×rational.json-simplify-35
1004×rational.json-simplify-51
988×rational.json-simplify-2
882×rational.json-simplify-48
806×rational.json-simplify-26
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11721
22221
33321
45421
510721
625921
773421
8129121
9220921
10317821
11473721
12713621
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.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
0.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite141.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1310×rational.json-1
1310×rational.json-2
1310×rational.json-4
1310×rational.json-3
1302×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
14516
213516
333616
489516
5344316
Stop Event
node limit
Counts
2 → 110
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 1/2 (*.f64 2 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 1/2 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) (/.f64 -1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 y)) 1/2) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sin.f64 y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/4) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1/2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 2 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 y) (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 2 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 y y)) (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sin.f64 y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 y)))))))

simplify232.0ms (1.6%)

Algorithm
egg-herbie
Rules
1190×rational.json-simplify-35
942×rational.json-simplify-39
896×rational.json-simplify-2
758×rational.json-simplify-1
644×exponential.json-simplify-26
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02181822
14441810
218281738
340771738
468101738
Stop Event
node limit
Counts
118 → 143
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 2 (/.f64 1 y))))
(*.f64 (sin.f64 y) (*.f64 1/2 (/.f64 2 y)))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(*.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(*.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 y) 1/4))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)))
(*.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 4 (/.f64 (sin.f64 y) (*.f64 y 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) 1/4)
(*.f64 (*.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 -1/2 y))
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 -1 (+.f64 y y)))
(*.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 1/2))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) 1/2) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(*.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))
(*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 2 (/.f64 1 y)))
(*.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 2 y))
(*.f64 1/4 (*.f64 (/.f64 (sin.f64 y) y) 4))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) 1/4) (*.f64 (sin.f64 y) 4))
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 y))) (sin.f64 y))
(*.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))
(*.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1/2 (sin.f64 y)))
(*.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) 1/2))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y)
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 2 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)) -1)
(*.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 4)
(*.f64 (/.f64 -1/2 y) (*.f64 (sin.f64 y) -2))
(*.f64 (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 2 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)
(*.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))
(*.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))
(*.f64 (/.f64 -1 (+.f64 y y)) (*.f64 (sin.f64 y) -2))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)))
(+.f64 (sin.f64 y) 0)
(+.f64 0 (sin.f64 y))
(+.f64 -1 (-.f64 (sin.f64 y) -1))
(+.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))
(+.f64 (-.f64 (sin.f64 y) -1) -1)
(-.f64 (sin.f64 y) 0)
(-.f64 0 (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(*.f64 4 (/.f64 (sin.f64 y) 4))
(*.f64 (*.f64 (sin.f64 y) 8) 1/8)
(*.f64 1/2 (*.f64 (sin.f64 y) 2))
(*.f64 (*.f64 (sin.f64 y) -2) -1/2)
(*.f64 (*.f64 (sin.f64 y) 1/2) 2)
(*.f64 1/4 (*.f64 (sin.f64 y) 4))
(*.f64 -1/2 (*.f64 (sin.f64 y) -2))
(*.f64 1/8 (*.f64 (sin.f64 y) 8))
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(/.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(/.f64 (*.f64 (sin.f64 y) 8) 8)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) -4)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) 4)
(pow.f64 (sin.f64 y) 1)
(neg.f64 (neg.f64 (sin.f64 y)))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 -1/5040 (pow.f64 y 6))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (*.f64 1/120 (pow.f64 y 5)))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
(+.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(/.f64 (sin.f64 y) y)
(-.f64 (/.f64 (sin.f64 y) y) 0)
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(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 y (/.f64 (sin.f64 y) (/.f64 y (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y)))))
(/.f64 y (/.f64 (/.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 2 (/.f64 1 y))))
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(*.f64 (sin.f64 y) (*.f64 1/2 (/.f64 2 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
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(*.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))
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(*.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 y) 1/4))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
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(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
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(*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y 1/2))))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 (sin.f64 y) (/.f64 1/2 y)))) (*.f64 2 (/.f64 y (sin.f64 y))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
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(*.f64 (*.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
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(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
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(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 y))) (sin.f64 y))
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(*.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))
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(*.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1/2 (sin.f64 y)))
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(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y (+.f64 y y))))))
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(*.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) 1/2))
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(*.f64 1/2 (*.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y))))
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(*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y 1/2))))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 (sin.f64 y) (/.f64 1/2 y)))) (*.f64 2 (/.f64 y (sin.f64 y))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)) -1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 4)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1/2 y) (*.f64 (sin.f64 y) -2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 2 (/.f64 y (sin.f64 y))))
(*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y 1/2))))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 (sin.f64 y) (/.f64 1/2 y)))) (*.f64 2 (/.f64 y (sin.f64 y))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (*.f64 2 (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))) 2) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 (+.f64 y y)) (*.f64 (sin.f64 y) -2))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (*.f64 (sin.f64 y) -2) (+.f64 y y)))
(/.f64 (sin.f64 y) y)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 -1 (-.f64 (sin.f64 y) -1))
(sin.f64 y)
(+.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))
(sin.f64 y)
(+.f64 (-.f64 (sin.f64 y) -1) -1)
(sin.f64 y)
(-.f64 (sin.f64 y) 0)
(sin.f64 y)
(-.f64 0 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(sin.f64 y)
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(sin.f64 y)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 8) 1/8)
(sin.f64 y)
(*.f64 1/2 (*.f64 (sin.f64 y) 2))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) -2) -1/2)
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 1/2) 2)
(sin.f64 y)
(*.f64 1/4 (*.f64 (sin.f64 y) 4))
(sin.f64 y)
(*.f64 -1/2 (*.f64 (sin.f64 y) -2))
(sin.f64 y)
(*.f64 1/8 (*.f64 (sin.f64 y) 8))
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(/.f64 (sin.f64 y) 1)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 8) 8)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(sin.f64 y)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)
(sin.f64 y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) -4)
(sin.f64 y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) 4)
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)

eval26.0ms (0.2%)

Compiler

Compiled 1997 to 916 computations (54.1% saved)

prune32.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1349143
Fresh000
Picked011
Done000
Total13410144
Error
0.0b
Counts
144 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
29.9b
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 (sin.f64 y) -1) -1) y))
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
31.8b
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
14.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y))
13.9b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 (sin.f64 y) (/.f64 1/2 y)))) (*.f64 2 (/.f64 y (sin.f64 y)))))
0.5b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y)))
0.6b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
0.5b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)))
13.8b
(*.f64 (cosh.f64 x) (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
31.1b
(*.f64 (cosh.f64 x) 1)
Compiler

Compiled 287 to 186 computations (35.2% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.5b
(*.f64 (/.f64 1 y) (sin.f64 y))
Compiler

Compiled 27 to 14 computations (48.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1542×rational.json-1
1542×rational.json-2
1542×rational.json-4
1542×rational.json-3
1524×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
16511
215711
333611
477711
5240111
6624911
Stop Event
node limit
Counts
1 → 66
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (*.f64 y y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 y (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 y 4) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 y) (/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 y (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 y 8) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 4 y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 y) (+.f64 (/.f64 2 (sin.f64 y)) (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 y (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 y (/.f64 1/2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y))) (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (/.f64 (*.f64 y 8) (sin.f64 y)) (/.f64 (*.f64 y 8) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (*.f64 y 4) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 8) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 y (/.f64 2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (+.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (*.f64 y y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) -2)) (*.f64 (neg.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) (*.f64 2 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (*.f64 y (/.f64 1/2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) 8) y) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) 8)) (neg.f64 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y (sin.f64 y))) (-.f64 0 (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8)) (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) -2)) (*.f64 2 (*.f64 (sin.f64 y) -2))) (*.f64 2 (*.f64 (neg.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) 8) y) (/.f64 (*.f64 (sin.f64 y) 8) y)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) (neg.f64 (*.f64 (sin.f64 y) 4))) (*.f64 2 (neg.f64 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (neg.f64 (*.f64 (sin.f64 y) -2))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 y)) (-.f64 0 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 y)) (-.f64 0 (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2)) (-.f64 0 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -2))) (-.f64 0 (*.f64 (neg.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) (-.f64 0 (neg.f64 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) -2))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))))

simplify88.0ms (0.6%)

Algorithm
egg-herbie
Rules
1360×rational.json-simplify-2
1348×rational.json-simplify-35
1258×rational.json-simplify-61
1192×rational.json-simplify-51
904×rational.json-simplify-46
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179926
1577926
21644926
35239926
Stop Event
node limit
Counts
78 → 73
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) (/.f64 (*.f64 y y) y))
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 4 (/.f64 (*.f64 y 4) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 2)
(/.f64 (/.f64 2 y) (/.f64 2 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 y y))
(/.f64 -1 (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 8 (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y))))
(/.f64 8 (/.f64 (*.f64 y 8) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 4 y)) 4)
(/.f64 (/.f64 4 y) (+.f64 (/.f64 2 (sin.f64 y)) (/.f64 2 (sin.f64 y))))
(/.f64 -2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 -2 (+.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 y (neg.f64 (sin.f64 y)))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (sin.f64 y) 4) (*.f64 y 4))
(/.f64 1/2 (*.f64 y (/.f64 1/2 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 16 (+.f64 (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y))) (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y)))))
(/.f64 16 (+.f64 (/.f64 (*.f64 y 8) (sin.f64 y)) (/.f64 (*.f64 y 8) (sin.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 8) 8)
(/.f64 (*.f64 (sin.f64 y) -2) (*.f64 y -2))
(/.f64 -4 (+.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y))))))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 y 4) (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) 8) (*.f64 y 8))
(/.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (+.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y))))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 1/2)
(/.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 y 1/2))
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (*.f64 y y) (+.f64 y y)))
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8)) 16)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) -2)) (*.f64 (neg.f64 y) 4))
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) (*.f64 2 (*.f64 y 8)))
(/.f64 -1/2 (-.f64 0 (*.f64 y (/.f64 1/2 (sin.f64 y)))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 8) y) 8)
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 8)) (neg.f64 (*.f64 y 8)))
(/.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 1/4)
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) (-.f64 0 (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) (neg.f64 (*.f64 y 4)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (+.f64 y y))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8)) (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) -2)) (*.f64 2 (*.f64 (sin.f64 y) -2))) (*.f64 2 (*.f64 (neg.f64 y) 4)))
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) 8) y) (/.f64 (*.f64 (sin.f64 y) 8) y)) 16)
(/.f64 (+.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y))) -2)
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) (neg.f64 (*.f64 (sin.f64 y) 4))) (*.f64 2 (neg.f64 (*.f64 y 4))))
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (neg.f64 (*.f64 (sin.f64 y) -2))) (*.f64 y 4))
(/.f64 (neg.f64 (/.f64 1 y)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 2 y)) (-.f64 0 (/.f64 2 (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2)) (-.f64 0 (*.f64 y 1/2)))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -2))) (-.f64 0 (*.f64 (neg.f64 y) 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) (*.f64 y 4))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) (-.f64 0 (neg.f64 (*.f64 y 4))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) -2))) (*.f64 y -2))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(+.f64 0 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(/.f64 (sin.f64 y) y)
(-.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) (/.f64 (*.f64 y y) y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 4 (/.f64 (*.f64 y 4) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 2)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 2 y) (/.f64 2 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 y y))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 8 (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 8 (/.f64 (*.f64 y 8) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) (/.f64 4 y)) 4)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 4 y) (+.f64 (/.f64 2 (sin.f64 y)) (/.f64 2 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 -2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 -2 (+.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 y (neg.f64 (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 -2 (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 4) (*.f64 y 4))
(/.f64 (sin.f64 y) y)
(/.f64 1/2 (*.f64 y (/.f64 1/2 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 16 (+.f64 (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y))) (*.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 16 (+.f64 (/.f64 (*.f64 y 8) (sin.f64 y)) (/.f64 (*.f64 y 8) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 8) 8)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) -2) (*.f64 y -2))
(/.f64 (sin.f64 y) y)
(/.f64 -4 (+.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y))))))
(/.f64 (sin.f64 y) y)
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 y 4) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 8) (*.f64 y 8))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (+.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y))))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 1/2)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 y 1/2))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (*.f64 y y) (+.f64 y y)))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8)) 16)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) -2)) (*.f64 (neg.f64 y) 4))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) (*.f64 2 (*.f64 y 8)))
(/.f64 (sin.f64 y) y)
(/.f64 -1/2 (-.f64 0 (*.f64 y (/.f64 1/2 (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) 8) y) 8)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 8)) (neg.f64 (*.f64 y 8)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 1/4)
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) (-.f64 0 (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) (neg.f64 (*.f64 y 4)))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (+.f64 y y))
(/.f64 (sin.f64 y) y)
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8)) (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 8))) 32)
(/.f64 (sin.f64 y) y)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) -2)) (*.f64 2 (*.f64 (sin.f64 y) -2))) (*.f64 2 (*.f64 (neg.f64 y) 4)))
(/.f64 (sin.f64 y) y)
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) 8) y) (/.f64 (*.f64 (sin.f64 y) 8) y)) 16)
(/.f64 (sin.f64 y) y)
(/.f64 (+.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y))) -2)
(/.f64 (sin.f64 y) y)
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) (neg.f64 (*.f64 (sin.f64 y) 4))) (*.f64 2 (neg.f64 (*.f64 y 4))))
(/.f64 (sin.f64 y) y)
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (neg.f64 (*.f64 (sin.f64 y) -2))) (*.f64 y 4))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (/.f64 1 y)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (/.f64 2 y)) (-.f64 0 (/.f64 2 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2)) (-.f64 0 (*.f64 y 1/2)))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -2))) (-.f64 0 (*.f64 (neg.f64 y) 4)))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) (*.f64 y 4))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 4))) (-.f64 0 (neg.f64 (*.f64 y 4))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) -2))) (*.f64 y -2))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)

localize5.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.1b
(/.f64 (+.f64 (-.f64 (sin.f64 y) -1) -1) y)
0.4b
(-.f64 (sin.f64 y) -1)
5.0b
(+.f64 (-.f64 (sin.f64 y) -1) -1)
Compiler

Compiled 38 to 22 computations (42.1% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1338×rational.json-1
1338×rational.json-2
1338×rational.json-4
1338×rational.json-3
1330×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0951
16727
218127
346227
4120127
5392327
Stop Event
node limit
Counts
3 → 137
Calls
Call 1
Inputs
(+.f64 (-.f64 (sin.f64 y) -1) -1)
(-.f64 (sin.f64 y) -1)
(/.f64 (+.f64 (-.f64 (sin.f64 y) -1) -1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (neg.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sin.f64 y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) y))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (neg.f64 (PI.f64)) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sin.f64 y) 1) 1/2) (*.f64 (+.f64 (sin.f64 y) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sin.f64 y) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sin.f64 y) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sin.f64 y) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sin.f64 y) 1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sin.f64 y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sin.f64 y) 1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sin.f64 y) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sin.f64 y) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 y) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 y) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 y) 1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sin.f64 y) 1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 y) 1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (neg.f64 (sin.f64 y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 1/2 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 1 (*.f64 y 4)) (/.f64 1 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) 4) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 1/2 (sin.f64 y))) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (/.f64 1/2 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sin.f64 y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/4) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1/2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 y (/.f64 1/2 (sin.f64 y))))))) (#(struct:change 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y))))) (/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))))

simplify237.0ms (1.6%)

Algorithm
egg-herbie
Rules
1288×rational.json-simplify-35
1286×rational.json-simplify-53
974×rational.json-simplify-2
940×rational.json-simplify-39
750×rational.json-simplify-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02662657
15472585
220962471
347942471
Stop Event
node limit
Counts
173 → 184
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(-.f64 (sin.f64 y) 0)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(-.f64 0 (neg.f64 (sin.f64 y)))
(-.f64 (+.f64 (sin.f64 y) -1) -1)
(-.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (neg.f64 (sin.f64 y)) 2))
(*.f64 (sin.f64 y) 1)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(*.f64 1 (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(*.f64 (*.f64 (sin.f64 y) 8) 1/8)
(*.f64 1/2 (*.f64 (sin.f64 y) 2))
(*.f64 (*.f64 (sin.f64 y) -2) -1/2)
(*.f64 (*.f64 (sin.f64 y) 1/2) 2)
(*.f64 1/4 (*.f64 (sin.f64 y) 4))
(*.f64 -1/2 (*.f64 (sin.f64 y) -2))
(*.f64 1/8 (*.f64 (sin.f64 y) 8))
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(/.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(/.f64 (*.f64 (sin.f64 y) 8) 8)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) 4) -4)
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) 4)) 4)
(pow.f64 (sin.f64 y) 1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 (-.f64 (PI.f64) y))
(sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (-.f64 (neg.f64 (PI.f64)) y))
(+.f64 (sin.f64 y) 1)
(+.f64 -1 (+.f64 (sin.f64 y) 2))
(+.f64 (+.f64 (sin.f64 y) 1) 0)
(+.f64 0 (+.f64 (sin.f64 y) 1))
(+.f64 1 (sin.f64 y))
(+.f64 2 (+.f64 (sin.f64 y) -1))
(+.f64 (+.f64 (sin.f64 y) -1) 2)
(+.f64 -2 (+.f64 (sin.f64 y) 3))
(+.f64 (+.f64 (sin.f64 y) -2) 3)
(+.f64 (+.f64 (sin.f64 y) 2) -1)
(+.f64 3 (+.f64 (sin.f64 y) -2))
(+.f64 (+.f64 (sin.f64 y) 3) -2)
(+.f64 (*.f64 (+.f64 (sin.f64 y) 1) 1/2) (*.f64 (+.f64 (sin.f64 y) 1) 1/2))
(*.f64 (+.f64 (sin.f64 y) 1) 1)
(*.f64 1 (+.f64 (sin.f64 y) 1))
(*.f64 2 (*.f64 (+.f64 (sin.f64 y) 1) 1/2))
(*.f64 (+.f64 (*.f64 (sin.f64 y) 2) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (sin.f64 y) 1) 4))
(*.f64 (*.f64 (+.f64 (sin.f64 y) 1) 4) 1/4)
(*.f64 1/2 (+.f64 (*.f64 (sin.f64 y) 2) 2))
(*.f64 (*.f64 (+.f64 (sin.f64 y) 1) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (sin.f64 y) 1) 4))
(*.f64 (/.f64 (+.f64 (sin.f64 y) 1) 4) 4)
(/.f64 (+.f64 (sin.f64 y) 1) 1)
(/.f64 (+.f64 (*.f64 (sin.f64 y) 2) 2) 2)
(/.f64 (*.f64 (+.f64 (sin.f64 y) 1) 4) 4)
(/.f64 (*.f64 (+.f64 (sin.f64 y) 1) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (sin.f64 y) 1) 8)) 16)
(pow.f64 (+.f64 (sin.f64 y) 1) 1)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (neg.f64 (sin.f64 y)) (+.f64 y y)))
(-.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 2))
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (sin.f64 y) (*.f64 1/2 (/.f64 2 y)))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(*.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 1 (*.f64 y 4)) (/.f64 1 (*.f64 y 4))))
(*.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 2) 1/2)
(*.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 y) 1/4))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 4 (/.f64 (sin.f64 y) (*.f64 y 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) 1/4)
(*.f64 (*.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) 2))
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(*.f64 (*.f64 (/.f64 1/2 y) 4) (*.f64 (sin.f64 y) 1/2))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(*.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))
(*.f64 (*.f64 y (/.f64 1/2 (sin.f64 y))) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (/.f64 1/2 y) 4))
(*.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 2 y))
(*.f64 1/4 (*.f64 (/.f64 (sin.f64 y) y) 4))
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) 1/4) (*.f64 (sin.f64 y) 4))
(*.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))
(*.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1/2 (sin.f64 y)))
(*.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 y (/.f64 1/2 (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y)
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 4)
(*.f64 (/.f64 1/2 (neg.f64 y)) (*.f64 (sin.f64 y) -2))
(*.f64 (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)
(*.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))
(*.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5))))
(+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.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 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 y (+.f64 (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))) (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y 1))
(+.f64 y (+.f64 1 (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) 1)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y 1)))
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(+.f64 (sin.f64 y) 1)
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(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
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(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
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(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (+.f64 1 (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(-.f64 (sin.f64 y) 0)
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(sin.f64 y)
(-.f64 0 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) -1) -1)
(sin.f64 y)
(-.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (neg.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(sin.f64 y)
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(sin.f64 y)
(*.f64 (neg.f64 (sin.f64 y)) -1)
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(*.f64 4 (/.f64 (sin.f64 y) 4))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 8) 1/8)
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(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
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(sin.f64 y)
(sin.f64 y)
(sin.f64 (-.f64 (PI.f64) y))
(sin.f64 y)
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(sin.f64 (-.f64 (neg.f64 (PI.f64)) y))
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(*.f64 (+.f64 (sin.f64 y) 1) 1)
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(*.f64 4 (/.f64 (+.f64 (sin.f64 y) 1) 4))
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(*.f64 (*.f64 (+.f64 (sin.f64 y) 1) 4) 1/4)
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(/.f64 (*.f64 (+.f64 (sin.f64 y) 1) 8) 8)
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(/.f64 (*.f64 2 (*.f64 (+.f64 (sin.f64 y) 1) 8)) 16)
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(pow.f64 (+.f64 (sin.f64 y) 1) 1)
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(/.f64 (sin.f64 y) y)
(-.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (neg.f64 (sin.f64 y)) (+.f64 y y)))
(/.f64 (sin.f64 y) y)
(-.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 2))
(/.f64 (sin.f64 y) y)
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (*.f64 1/2 (/.f64 2 y)))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
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(*.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))
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(*.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 1 (*.f64 y 4)) (/.f64 1 (*.f64 y 4))))
(/.f64 (sin.f64 y) y)
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(*.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 4 (/.f64 (sin.f64 y) (*.f64 y 4)))
(/.f64 (sin.f64 y) y)
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) 1/4)
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
(/.f64 (sin.f64 y) y)
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (/.f64 1/2 y) 4) (*.f64 (sin.f64 y) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 y (/.f64 1/2 (sin.f64 y))) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y))
(*.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 y (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y 2))))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (+.f64 y y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 1/2 (sin.f64 y)))))
(*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (/.f64 1/2 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 2 y))
(/.f64 (sin.f64 y) y)
(*.f64 1/4 (*.f64 (/.f64 (sin.f64 y) y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (/.f64 1 y) 1/4) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1/2 (sin.f64 y)))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (+.f64 y y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 1/2 (sin.f64 y)))))
(*.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 y (/.f64 1/2 (sin.f64 y))))
(*.f64 (*.f64 y (/.f64 1/2 (sin.f64 y))) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y))
(*.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 y (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y 2))))))
(*.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))) (sin.f64 y))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y)
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 4)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1/2 (neg.f64 y)) (*.f64 (sin.f64 y) -2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 y (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 2 (sin.f64 y)))
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(*.f64 y (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))) (sin.f64 y))

localize285.0ms (2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 y (sin.f64 y))
0.1b
(/.f64 1 (sin.f64 y))
0.1b
(/.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))
0.5b
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
Compiler

Compiled 51 to 16 computations (68.6% saved)

series8.0ms (0.1%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(/.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))
0.0ms
y
@inf
(/.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))
0.0ms
y
@-inf
(/.f64 y (sin.f64 y))
0.0ms
y
@inf
(/.f64 1 (sin.f64 y))
0.0ms
y
@-inf
(/.f64 1 (sin.f64 y))

rewrite220.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
2138×rational.json-1
2138×rational.json-2
1056×rational.json-simplify-50
1048×exponential.json-3
1048×rational.json-4
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01080
18174
221574
363974
4280254
5742354
Stop Event
node limit
Counts
4 → 279
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(/.f64 y (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (*.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (sin.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 (/.f64 (sin.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sin.f64 y) 4) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (sin.f64 y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (/.f64 1 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (sin.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 y)) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (sin.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 y)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) 1/2) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2)) (*.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 y 4) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (sin.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 y) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (sin.f64 (neg.f64 y))))))))

simplify166.0ms (1.2%)

Algorithm
egg-herbie
Rules
1308×rational.json-simplify-49
1232×rational.json-simplify-54
986×rational.json-simplify-51
898×rational.json-simplify-46
870×rational.json-simplify-50
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05966605
124566409
252416359
Stop Event
node limit
Counts
311 → 401
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
y
(+.f64 y (*.f64 -1/3 (pow.f64 y 3)))
(+.f64 y (+.f64 (*.f64 2/45 (pow.f64 y 5)) (*.f64 -1/3 (pow.f64 y 3))))
(+.f64 y (+.f64 (*.f64 -1/315 (pow.f64 y 7)) (+.f64 (*.f64 2/45 (pow.f64 y 5)) (*.f64 -1/3 (pow.f64 y 3)))))
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (sin.f64 y)))
(+.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (*.f64 (sin.f64 y) 2)))
(+.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (sin.f64 (neg.f64 y))))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 (/.f64 (sin.f64 y) y) 1/2))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (*.f64 (sin.f64 y) 4) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (sin.f64 y)) 4))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 y)) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 1 (/.f64 (/.f64 -1 (/.f64 1 y)) (sin.f64 (neg.f64 y))))
(/.f64 1 (/.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 4) (/.f64 1 y)) 4))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) (*.f64 -1 (*.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y))))))
(/.f64 (sin.f64 y) (/.f64 1 (/.f64 1 y)))
(/.f64 (sin.f64 y) (-.f64 0 (*.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y))))))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (sin.f64 (neg.f64 y)))) -1))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) -1))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) 4)) (*.f64 2 (*.f64 (*.f64 (sin.f64 y) 2) 4))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 2 (/.f64 2 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 1/2 (/.f64 1/2 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 y y))
(/.f64 (*.f64 (sin.f64 y) 2) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 2 (/.f64 1 y)))
(/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 2 (/.f64 (/.f64 2 (/.f64 1 y)) (sin.f64 y)))
(/.f64 2 (/.f64 (/.f64 4 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 2 (/.f64 (/.f64 -2 (/.f64 1 y)) (sin.f64 (neg.f64 y))))
(/.f64 4 (/.f64 (*.f64 y 4) (sin.f64 y)))
(/.f64 4 (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 4) (/.f64 1 y)))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 1 y)) (sin.f64 y)))
(/.f64 4 (/.f64 (/.f64 8 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (sin.f64 y) 4) (*.f64 y 4))
(/.f64 (*.f64 (sin.f64 y) 4) (/.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) 4) (/.f64 4 (/.f64 1 y)))
(/.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (*.f64 (/.f64 y (sin.f64 y)) 2)))
(/.f64 (/.f64 2 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 2 (sin.f64 y)) (/.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 4) (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (sin.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 (neg.f64 y)) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y)))))
(/.f64 (sin.f64 (neg.f64 y)) (/.f64 -1 (/.f64 1 y)))
(/.f64 -1 (/.f64 y (sin.f64 (neg.f64 y))))
(/.f64 -1 (/.f64 (/.f64 1 (/.f64 1 y)) (sin.f64 (neg.f64 y))))
(/.f64 -1 (/.f64 (/.f64 -1 (/.f64 1 y)) (sin.f64 y)))
(/.f64 -1 (/.f64 (/.f64 -2 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y))) (*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 2)
(/.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 (sin.f64 y) y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 y (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 4 (/.f64 (sin.f64 y) y)) 4)
(/.f64 8 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) 4))
(/.f64 (*.f64 (*.f64 (sin.f64 y) 2) 4) (*.f64 2 (*.f64 y 4)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) 2) 4) (/.f64 8 (/.f64 1 y)))
(/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 4) (*.f64 4 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 -2 (*.f64 (/.f64 y (sin.f64 y)) -2))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) 4) (*.f64 (sin.f64 y) 4))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y)) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (/.f64 y (sin.f64 y)) 4)) (*.f64 (sin.f64 y) 4))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 2 y))) (*.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 2 y))) (/.f64 2 (/.f64 1 (sin.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2)) (/.f64 (+.f64 y y) (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 4 (*.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (*.f64 y 4) (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 (neg.f64 y))) (/.f64 y (neg.f64 (/.f64 1 (sin.f64 y)))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 1/2) 1/2)
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) 2))
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) (sin.f64 y)))
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (*.f64 (sin.f64 y) 4)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y)))) (sin.f64 (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) -2) (*.f64 y -2))
(/.f64 (*.f64 (sin.f64 y) -2) (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) -2)))
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 -2 (/.f64 1 y)))
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) -2) (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 2 (/.f64 1 y)) (/.f64 2 (sin.f64 y)))
(/.f64 (*.f64 2 (*.f64 4 (/.f64 (sin.f64 y) y))) 8)
(/.f64 (*.f64 2 (/.f64 (sin.f64 y) (/.f64 (/.f64 y (sin.f64 y)) 4))) (*.f64 (*.f64 (sin.f64 y) 2) 4))
(/.f64 (*.f64 2 (/.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y))))) (*.f64 (sin.f64 y) -2))
(/.f64 -4 (neg.f64 (/.f64 (*.f64 y 4) (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) -2)) (/.f64 y (*.f64 (sin.f64 y) -2)))
(/.f64 (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) -2)) (/.f64 (/.f64 -1 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
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(*.f64 (*.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) 1/2) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) 2)
(*.f64 (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2)) (*.f64 (/.f64 y (sin.f64 y)) 2))
(*.f64 1/4 (/.f64 (*.f64 y 4) (sin.f64 y)))
(*.f64 (/.f64 y 2) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) 2) 2)
(*.f64 (/.f64 1 (*.f64 (sin.f64 y) 4)) (*.f64 y 4))
(*.f64 (/.f64 -1 (sin.f64 y)) (neg.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(neg.f64 (/.f64 y (sin.f64 (neg.f64 y))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (-.f64 (*.f64 1/120 (pow.f64 y 4)) -1))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (-.f64 (*.f64 1/120 (pow.f64 y 4)) -1)) (*.f64 -1/5040 (pow.f64 y 6)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
y
(+.f64 y (*.f64 -1/3 (pow.f64 y 3)))
(+.f64 y (+.f64 (*.f64 2/45 (pow.f64 y 5)) (*.f64 -1/3 (pow.f64 y 3))))
(+.f64 y (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 2/45 (pow.f64 y 5))))
(+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 2/45 (pow.f64 y 5)) y))
(+.f64 y (+.f64 (*.f64 -1/315 (pow.f64 y 7)) (+.f64 (*.f64 2/45 (pow.f64 y 5)) (*.f64 -1/3 (pow.f64 y 3)))))
(+.f64 y (+.f64 (*.f64 2/45 (pow.f64 y 5)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/315 (pow.f64 y 7)))))
(+.f64 (*.f64 2/45 (pow.f64 y 5)) (+.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/315 (pow.f64 y 7))) y))
(+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (+.f64 y (*.f64 2/45 (pow.f64 y 5))) (*.f64 -1/315 (pow.f64 y 7))))
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 y 1/6) (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (*.f64 y 1/6) (+.f64 (/.f64 1 y) (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (*.f64 y 1/6) (*.f64 (pow.f64 y 3) 7/360)) (*.f64 (pow.f64 y 5) 31/15120)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 y 1/6) (+.f64 (*.f64 (pow.f64 y 3) 7/360) (*.f64 (pow.f64 y 5) 31/15120))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) 1/6))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) 1/6) (*.f64 (pow.f64 y 4) 7/360)))
(+.f64 (*.f64 (pow.f64 y 2) 1/6) (+.f64 1 (*.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) 1/6) (+.f64 (*.f64 (pow.f64 y 4) 7/360) (*.f64 (pow.f64 y 6) 31/15120))))
(+.f64 0 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (*.f64 (sin.f64 y) 2)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (/.f64 0 (sin.f64 (neg.f64 y))))
(/.f64 (sin.f64 y) y)
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (sin.f64 y) y)
(-.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 (*.f64 (sin.f64 y) 4) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (sin.f64 y)) 4))))
(/.f64 1 (*.f64 4 (/.f64 (sin.f64 y) (/.f64 4 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))))
(/.f64 (sin.f64 y) (*.f64 4 (*.f64 (sin.f64 y) (/.f64 (/.f64 y 4) (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 (/.f64 y 4) (sin.f64 y))) (/.f64 1/4 (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 (/.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 (/.f64 -1 (/.f64 1 y)) (sin.f64 (neg.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 4) (/.f64 1 y)) 4))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) (*.f64 -1 (*.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y))))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) (/.f64 1 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) (-.f64 0 (*.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y))))))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (sin.f64 (neg.f64 y)))) -1))
(/.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 1 (sin.f64 y))))))
(/.f64 -1 (*.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) -1))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) 4)) (*.f64 2 (*.f64 (*.f64 (sin.f64 y) 2) 4))))
(/.f64 (*.f64 (*.f64 2 (sin.f64 y)) 8) (/.f64 (*.f64 (*.f64 2 (/.f64 y (sin.f64 y))) 8) (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) 8) (/.f64 (sin.f64 y) 1/2)))
(/.f64 (/.f64 1 (sin.f64 y)) (*.f64 8 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (sin.f64 y) 8))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 2 (/.f64 2 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 1/2 (/.f64 1/2 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 y y))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 2) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 2 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (sin.f64 y) y)
(/.f64 2 (/.f64 (/.f64 2 (/.f64 1 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 2 (/.f64 (/.f64 4 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (sin.f64 y) y)
(/.f64 2 (/.f64 (/.f64 -2 (/.f64 1 y)) (sin.f64 (neg.f64 y))))
(/.f64 2 (/.f64 (/.f64 y -1/2) (neg.f64 (sin.f64 y))))
(/.f64 4 (/.f64 (*.f64 y 4) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 4 (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 4) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(/.f64 4 (/.f64 (/.f64 4 (/.f64 1 y)) (sin.f64 y)))
(/.f64 4 (/.f64 (/.f64 y 1/4) (sin.f64 y)))
(/.f64 4 (/.f64 (/.f64 8 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 4 (/.f64 (/.f64 y 1/4) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) 4) (*.f64 y 4))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 4) (/.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) 4) (/.f64 4 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (*.f64 y 4) (sin.f64 y)) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (*.f64 (/.f64 y (sin.f64 y)) 2)))
(/.f64 (*.f64 y 4) (*.f64 (sin.f64 y) (*.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (*.f64 2 (/.f64 y (sin.f64 y))))))
(/.f64 (*.f64 y 4) (*.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 4 (sin.f64 y))))))
(+.f64 (/.f64 1 (*.f64 2 (/.f64 y (sin.f64 y)))) (/.f64 1 (*.f64 2 (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 2 (sin.f64 y)) (/.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 4) (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 (neg.f64 y)) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 (neg.f64 y)) (/.f64 -1 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (/.f64 y (sin.f64 (neg.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (/.f64 (/.f64 1 (/.f64 1 y)) (sin.f64 (neg.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (/.f64 (/.f64 -1 (/.f64 1 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (/.f64 (/.f64 -2 (/.f64 1 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y))) (*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y))) (*.f64 (*.f64 2 (sin.f64 y)) (*.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))))
(/.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 2)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 (sin.f64 y) y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y y)) (/.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 (sin.f64 y) (*.f64 y y)) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 y (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
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(/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 4) (*.f64 4 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 -2 (*.f64 (/.f64 y (sin.f64 y)) -2))
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(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y)) (/.f64 1 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
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(/.f64 1 (*.f64 4 (/.f64 (sin.f64 y) (/.f64 4 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))))
(/.f64 (sin.f64 y) (*.f64 4 (*.f64 (sin.f64 y) (/.f64 (/.f64 y 4) (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 (/.f64 y 4) (sin.f64 y))) (/.f64 1/4 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 2 y))) (*.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 4 (*.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (*.f64 y 4) (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) (sin.f64 (neg.f64 y))) (/.f64 y (neg.f64 (/.f64 1 (sin.f64 y)))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (neg.f64 (/.f64 1 (sin.f64 y))))))
(*.f64 (sin.f64 y) (/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) (/.f64 1 (sin.f64 y)))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 1/2) 1/2)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (sin.f64 y) 2)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) 2))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (*.f64 (sin.f64 y) 4)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y)))) (sin.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) -2) (*.f64 y -2))
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 -2 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) -2) (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 2 (/.f64 1 y)) (/.f64 2 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 2 (*.f64 4 (/.f64 (sin.f64 y) y))) 8)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 2 (/.f64 (sin.f64 y) (/.f64 (/.f64 y (sin.f64 y)) 4))) (*.f64 (*.f64 (sin.f64 y) 2) 4))
(/.f64 1 (*.f64 4 (/.f64 (sin.f64 y) (/.f64 4 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))))
(/.f64 (sin.f64 y) (*.f64 4 (*.f64 (sin.f64 y) (/.f64 (/.f64 y 4) (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 (/.f64 y 4) (sin.f64 y))) (/.f64 1/4 (sin.f64 y)))
(/.f64 (*.f64 2 (/.f64 (sin.f64 y) (/.f64 y (sin.f64 (neg.f64 y))))) (*.f64 (sin.f64 y) -2))
(/.f64 (sin.f64 y) y)
(/.f64 -4 (neg.f64 (/.f64 (*.f64 y 4) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) -2)) (/.f64 y (*.f64 (sin.f64 y) -2)))
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(*.f64 (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2)) (*.f64 (/.f64 y (sin.f64 y)) 2))
(*.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) (*.f64 2 (sin.f64 y))))
(*.f64 1/4 (/.f64 (*.f64 y 4) (sin.f64 y)))
(*.f64 (*.f64 4 (/.f64 y (sin.f64 y))) 1/4)
(*.f64 4 (/.f64 (/.f64 y 4) (sin.f64 y)))
(*.f64 (/.f64 y 2) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 y 2) (/.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) 2) 2)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (*.f64 (sin.f64 y) 4)) (*.f64 y 4))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 -1 (sin.f64 y)) (neg.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 y (-.f64 (sin.f64 y) 0))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(neg.f64 (/.f64 y (sin.f64 (neg.f64 y))))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 y (-.f64 (sin.f64 y) 0))

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
0.1b
(/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
0.1b
(/.f64 1 (sin.f64 y))
14.1b
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y)
Compiler

Compiled 75 to 21 computations (72% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite90.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1826×exponential.json-3
1826×rational.json-1
1826×rational.json-2
1826×rational.json-4
1826×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011119
195113
2306107
31346107
44975107
Stop Event
node limit
Counts
3 → 125
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y)
(/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
Outputs
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simplify210.0ms (1.5%)

Algorithm
egg-herbie
Rules
1484×rational.json-simplify-38
1388×rational.json-simplify-2
1126×rational.json-simplify-35
810×rational.json-simplify-44
768×rational.json-simplify-61
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03185099
111584607
252514603
Stop Event
node limit
Counts
161 → 191
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
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(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
1
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(/.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (sin.f64 y) 2)))
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(/.f64 (neg.f64 (+.f64 y y)) (-.f64 0 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (sin.f64 y) 2))))
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(/.f64 (/.f64 (+.f64 y y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (+.f64 y y) (fabs.f64 (/.f64 y (sin.f64 y)))) (*.f64 (*.f64 (sin.f64 y) 2) (fabs.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 y (fabs.f64 (/.f64 y (sin.f64 y)))) (*.f64 (sin.f64 y) (fabs.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 y (fabs.f64 (/.f64 y (sin.f64 y)))) (/.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (sin.f64 y))))
(/.f64 (/.f64 y (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (/.f64 y (sin.f64 y)) y) (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)))
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(/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2) 2)
(/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2) (+.f64 (/.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 y (sin.f64 y)))) (/.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 y (sin.f64 y))))))
(/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
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(/.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 (sin.f64 y) y)))
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(/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2))
(/.f64 (*.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) 4))) 8)
(/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (/.f64 1 y))
(/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 y (sin.f64 y)))) (fabs.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) 4)))
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(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 y (sin.f64 y)))) (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 y (sin.f64 y))))) (*.f64 2 (fabs.f64 (/.f64 y (sin.f64 y)))))
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(/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)) 1/2)
(/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 (/.f64 y (sin.f64 y)) 2)) (/.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) 2)
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)) (fabs.f64 (/.f64 y (sin.f64 y)))) (*.f64 2 (fabs.f64 (/.f64 y (sin.f64 y)))))
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(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y))) (+.f64 y y)) (/.f64 1/2 (sin.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 y (sin.f64 y)))) (fabs.f64 y)) (/.f64 1 (fabs.f64 (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2))) (neg.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)))
(/.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y)))) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 y (sin.f64 y))))) (-.f64 0 (fabs.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))) (-.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 1)
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(fabs.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 -1/5040 (pow.f64 y 6))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 1/120 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 y) (+.f64 (/.f64 1 y) (*.f64 1/120 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (+.f64 (*.f64 1/120 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 5)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/120 (pow.f64 y 3)) (+.f64 (*.f64 -1/6 y) (*.f64 -1/5040 (pow.f64 y 5)))))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
(/.f64 (sin.f64 y) (pow.f64 y 2))
1
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(+.f64 1 (+.f64 (*.f64 2/189 (pow.f64 y 6)) (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 1/15 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/3) (*.f64 (pow.f64 y 4) 1/15)) (*.f64 (pow.f64 y 6) 2/189)))
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(/.f64 (pow.f64 y 2) (pow.f64 (sin.f64 y) 2))
(/.f64 (pow.f64 y 2) (pow.f64 (sin.f64 y) 2))
(/.f64 (pow.f64 y 2) (pow.f64 (sin.f64 y) 2))
(/.f64 (pow.f64 y 2) (pow.f64 (sin.f64 y) 2))
(+.f64 (*.f64 y (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))) 0)
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
(-.f64 (*.f64 y (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))) 0)
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
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(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
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(*.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) 2))
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(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)) (fabs.f64 (/.f64 y (sin.f64 y)))) (*.f64 2 (fabs.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y))) y) (/.f64 1 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y))) (/.f64 1 (sin.f64 y))) y)
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y))) (+.f64 y y)) (/.f64 1/2 (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) y)) (*.f64 (/.f64 y (sin.f64 y)) (+.f64 y y))) (/.f64 1/2 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 y)))))
(/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 y (sin.f64 y)))) (fabs.f64 y)) (/.f64 1 (fabs.f64 (sin.f64 y))))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))) (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2))) (neg.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 2)))
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(/.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 y (sin.f64 y))))) (-.f64 0 (fabs.f64 (/.f64 y (sin.f64 y)))))
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(/.f64 (neg.f64 (*.f64 (/.f64 y (fabs.f64 (/.f64 y (sin.f64 y)))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))) (neg.f64 (fabs.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (/.f64 y (fabs.f64 (/.f64 y (sin.f64 y)))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))) 0) (fabs.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
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(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 1)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
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(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
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(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
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(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (/.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))) (/.f64 y (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(fabs.f64 (*.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(fabs.f64 (/.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))

eval587.0ms (4.1%)

Compiler

Compiled 17640 to 7654 computations (56.6% saved)

prune498.0ms (3.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New95110961
Fresh314
Picked101
Done145
Total95615971
Error
0b
Counts
971 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
14.1b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)))))
14.5b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))
29.9b
(*.f64 (cosh.f64 x) (/.f64 (-.f64 (+.f64 (sin.f64 y) -1) -1) y))
29.9b
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 (sin.f64 y) -1) -1) y))
60.6b
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 y -1) -1) y))
61.3b
(*.f64 (cosh.f64 x) (/.f64 (+.f64 1 -1) y))
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
13.8b
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))))
0.5b
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
0.2b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
31.8b
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
0.5b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)))
31.4b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) y))
32.1b
(*.f64 (cosh.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
31.1b
(*.f64 (cosh.f64 x) 1)
Compiler

Compiled 331 to 229 computations (30.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 28 to 11 computations (60.7% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite77.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1626×rational.json-1
1626×rational.json-2
1626×rational.json-4
1626×rational.json-3
1618×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
16811
218611
346511
4128911
5417611
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(/.f64 1 (/.f64 y (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 (sin.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 (*.f64 2 (/.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 (/.f64 2 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 1/2 (sin.f64 y)) y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (*.f64 (/.f64 1 y) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 y) 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 (*.f64 y 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/4 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (*.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sin.f64 y))) (*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (/.f64 y (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (sin.f64 y))) y))))))

simplify119.0ms (0.8%)

Algorithm
egg-herbie
Rules
1722×rational.json-simplify-35
1312×rational.json-simplify-2
802×rational.json-simplify-53
752×rational.json-simplify-43
690×rational.json-simplify-55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0130877
1311871
2737829
32999823
47837823
Stop Event
node limit
Counts
61 → 66
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(+.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 (sin.f64 y) (+.f64 y y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (sin.f64 y) (*.f64 (*.f64 2 (/.f64 1 y)) 1/2))
(*.f64 (sin.f64 y) (*.f64 (/.f64 2 y) 1/2))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 1/2 (sin.f64 y)) y)) 1/2))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 y) 1/2))
(*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (*.f64 (/.f64 1 y) 1/2) 1))
(*.f64 2 (/.f64 (sin.f64 y) (+.f64 y y)))
(*.f64 2 (*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 1))
(*.f64 2 (*.f64 (/.f64 (sin.f64 y) 2) (/.f64 1 y)))
(*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 1/2))
(*.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 2 (*.f64 (/.f64 1/2 y) (sin.f64 y)))
(*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) 1/2))
(*.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(*.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 (*.f64 y 4)) 1))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/4 (/.f64 1 y)))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) 1))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 -1 y) 1))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 -1 (/.f64 1 y)))
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 y))) (*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) 1/2))
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 2)
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 1 (/.f64 y (neg.f64 (sin.f64 y)))))
(neg.f64 (/.f64 -1 (/.f64 y (sin.f64 y))))
(neg.f64 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (sin.f64 y))) y))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6)))))
(+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/5040 (pow.f64 y 6))) 1))
(+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(+.f64 0 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 (sin.f64 y) (+.f64 y y)))
(/.f64 (sin.f64 y) y)
(-.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (*.f64 (*.f64 2 (/.f64 1 y)) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (*.f64 (/.f64 2 y) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 1/2 (sin.f64 y)) y)) 1/2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 y (/.f64 1/2 (sin.f64 y)))) (*.f64 1/2 (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (*.f64 y (/.f64 1/2 (sin.f64 y))))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) y))
(/.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 y) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (*.f64 (/.f64 1 y) 1/2) 1))
(/.f64 (sin.f64 y) y)
(*.f64 2 (/.f64 (sin.f64 y) (+.f64 y y)))
(/.f64 (sin.f64 y) y)
(*.f64 2 (*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 1))
(/.f64 (sin.f64 y) y)
(*.f64 2 (*.f64 (/.f64 (sin.f64 y) 2) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 2 (*.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(/.f64 (sin.f64 y) y)
(*.f64 2 (*.f64 (/.f64 1/2 y) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) 1/2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 y (/.f64 1/2 (sin.f64 y)))) (*.f64 1/2 (/.f64 y (sin.f64 y))))
(*.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (*.f64 y (/.f64 1/2 (sin.f64 y))))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) y))
(/.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 (*.f64 y 4)) 1))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/4 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) 1))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 -1 y) 1))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 -1 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 y))) (*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) 1/2))
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 y))) (*.f64 1/2 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 1 (sin.f64 y)) 1))
(*.f64 (/.f64 1 (sin.f64 y)) (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 2)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 1 (/.f64 y (neg.f64 (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 -1 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (sin.f64 y))) y))
(/.f64 (sin.f64 y) y)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (/.f64 1 y) y)
Compiler

Compiled 23 to 13 computations (43.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite98.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1742×rational.json-1
1742×rational.json-2
1742×rational.json-3
1740×rational.json-4
1184×rational.json-simplify-35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0613
1527
21337
32921
48641
527441
664081
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
saturated
Counts
13 → 1
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.6b
(+.f64 (-.f64 y -1) -1)
Compiler

Compiled 32 to 21 computations (34.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite221.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
2220×rational.json-simplify-35
2076×rational.json-simplify-2
1596×rational.json-simplify-1
1078×exponential.json-3
1078×rational.json-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
1451
21131
32281
44681
510531
620991
733701
847521
956081
1063691
1164951
1264951
1374421
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(+.f64 (-.f64 y -1) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 y 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y y) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 y y) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8)))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x . y)))))

simplify464.0ms (3.2%)

Algorithm
egg-herbie
Rules
3494×rational.json-simplify-48
2500×rational.json-simplify-1
1578×rational.json-simplify-35
1164×rational.json-simplify-41
1140×rational.json-simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05738
112438
235538
3113838
4218638
5361338
6386538
7436538
8453638
9464938
10475438
11564838
12577538
13590938
14603638
15614738
16626138
17632938
18635738
19713638
20729738
21734438
22769738
Stop Event
node limit
Counts
38 → 27
Calls
Call 1
Inputs
y
y
y
y
y
y
y
y
y
y
y
y
(-.f64 y 0)
(-.f64 (+.f64 y 1) 1)
(-.f64 (+.f64 y -1) -1)
(*.f64 y 1)
(*.f64 1 y)
(*.f64 2 (*.f64 y 1/2))
(*.f64 (+.f64 y y) 1/2)
(*.f64 4 (*.f64 y 1/4))
(*.f64 (*.f64 y 4) 1/4)
(*.f64 1/2 (+.f64 y y))
(*.f64 (*.f64 y 8) 1/8)
(*.f64 (*.f64 y 1/2) 2)
(*.f64 1/4 (*.f64 y 4))
(*.f64 (*.f64 y 1/4) 4)
(*.f64 1/8 (*.f64 y 8))
(/.f64 y 1)
(/.f64 (+.f64 y y) 2)
(/.f64 (*.f64 y 4) 4)
(/.f64 (*.f64 y 8) 8)
(/.f64 (*.f64 (+.f64 y y) 8) 16)
(/.f64 (*.f64 2 (*.f64 (+.f64 y y) 8)) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8)))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))))) 256)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8)))))) 512)
(pow.f64 y 1)
Outputs
y
y
y
y
y
y
y
y
y
y
y
y
(-.f64 y 0)
y
(-.f64 (+.f64 y 1) 1)
y
(-.f64 (+.f64 y -1) -1)
y
(*.f64 y 1)
y
(*.f64 1 y)
y
(*.f64 2 (*.f64 y 1/2))
y
(*.f64 (+.f64 y y) 1/2)
y
(*.f64 4 (*.f64 y 1/4))
y
(*.f64 (*.f64 y 4) 1/4)
y
(*.f64 1/2 (+.f64 y y))
y
(*.f64 (*.f64 y 8) 1/8)
y
(*.f64 (*.f64 y 1/2) 2)
y
(*.f64 1/4 (*.f64 y 4))
y
(*.f64 (*.f64 y 1/4) 4)
y
(*.f64 1/8 (*.f64 y 8))
y
(/.f64 y 1)
y
(/.f64 (+.f64 y y) 2)
y
(/.f64 (*.f64 y 4) 4)
y
(/.f64 (*.f64 y 8) 8)
y
(/.f64 (*.f64 (+.f64 y y) 8) 16)
y
(/.f64 (*.f64 2 (*.f64 (+.f64 y y) 8)) 32)
y
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))) 64)
y
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8)))) 128)
y
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))))) 256)
y
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y y) 8)))))) 512)
y
(pow.f64 y 1)
y

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
0.0b
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
0.2b
(*.f64 -1/6 (pow.f64 y 2))
Compiler

Compiled 34 to 25 computations (26.5% saved)

series6.0ms (0%)

Counts
3 → 27
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
1.0ms
x
@inf
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
1.0ms
x
@-inf
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
1.0ms
y
@0
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
1.0ms
y
@inf
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))

rewrite240.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1742×rational.json-simplify-1
1348×exponential.json-3
1348×rational.json-1
1348×rational.json-2
1348×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361
19361
218061
332461
459661
5131261
6286061
7466361
8570361
9688761
10719661
11749461
12763161
Stop Event
node limit
Counts
3 → 53
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) -1/12) (*.f64 (pow.f64 y 2) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/6 (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 (cosh.f64 x) 1/2)) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))) (*.f64 (*.f64 1/2 (*.f64 (cosh.f64 x) 1/2)) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 2 (cosh.f64 x))) (*.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/4 (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (*.f64 1/4 (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 (cosh.f64 x) 4)) (*.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 (cosh.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (/.f64 (cosh.f64 x) 4)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (*.f64 1/2 (/.f64 (cosh.f64 x) 4)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (cosh.f64 x) 4)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (cosh.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cosh.f64 x) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cosh.f64 x) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/6 (pow.f64 y 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)))))

simplify300.0ms (2.1%)

Algorithm
egg-herbie
Rules
1920×rational.json-simplify-35
1744×rational.json-simplify-1
1590×rational.json-simplify-53
1354×rational.json-simplify-48
1300×rational.json-simplify-51
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01492568
13732352
29472268
321252244
442752244
551842244
654692244
757772244
859972244
973092244
1076282244
Stop Event
node limit
Counts
80 → 83
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 4))) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (*.f64 1/720 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 4))) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2)))))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
1
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) 0)
(+.f64 0 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (*.f64 (pow.f64 y 2) -1/12) (*.f64 (pow.f64 y 2) -1/12))
(-.f64 (*.f64 -1/6 (pow.f64 y 2)) 0)
(/.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(/.f64 (*.f64 (pow.f64 y 2) -1/3) 2)
(/.f64 (*.f64 (pow.f64 y 2) -2/3) 4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3))))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)))))) 128)
(pow.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(+.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 0)
(+.f64 0 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 1/2)))
(+.f64 (*.f64 (*.f64 1/2 (*.f64 (cosh.f64 x) 1/2)) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))) (*.f64 (*.f64 1/2 (*.f64 (cosh.f64 x) 1/2)) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))))
(+.f64 (*.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 2 (cosh.f64 x))) (*.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 2 (cosh.f64 x))))
(+.f64 (*.f64 (*.f64 1/4 (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (*.f64 1/4 (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)))
(+.f64 (*.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 (cosh.f64 x) 4)) (*.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 (cosh.f64 x) 4)))
(+.f64 (*.f64 (*.f64 1/2 (/.f64 (cosh.f64 x) 4)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (*.f64 1/2 (/.f64 (cosh.f64 x) 4)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)))
(+.f64 (*.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (cosh.f64 x) 4)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (cosh.f64 x) 4)))
(-.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 0)
(/.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 1)
(/.f64 (*.f64 (cosh.f64 x) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 4)) 4)
(/.f64 (*.f64 (cosh.f64 x) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)) 8)
(/.f64 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8)) 16)
(/.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8))))) 128)
(pow.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 1)
(-.f64 (*.f64 -1/6 (pow.f64 y 2)) -1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 0)
(*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2))
(*.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)
(*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4))
(*.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 1/4)
(*.f64 1/2 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4))
(*.f64 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 4)
(/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)
(/.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) 2)
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8))))) 128)
(pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)
Outputs
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 4))) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 (pow.f64 x 2) 1/2)) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 (pow.f64 x 4) 1/24)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))) -1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 1/720 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 4))) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 (pow.f64 x 2) 1/2)) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 (pow.f64 x 4) 1/24)))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (*.f64 (pow.f64 x 6) 1/720))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))) (+.f64 (*.f64 (pow.f64 x 6) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) 1/720)) (*.f64 1/24 (*.f64 (pow.f64 x 4) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12))
(*.f64 (pow.f64 y 2) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12))
(*.f64 (pow.f64 y 2) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
1
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) 0)
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 0 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 (*.f64 (pow.f64 y 2) -1/12) (*.f64 (pow.f64 y 2) -1/12))
(*.f64 -1/6 (pow.f64 y 2))
(-.f64 (*.f64 -1/6 (pow.f64 y 2)) 0)
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 (*.f64 (pow.f64 y 2) -1/3) 2)
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 (*.f64 (pow.f64 y 2) -2/3) 4)
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)) 8)
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3))) 16)
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)))) 32)
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3))))) 64)
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) -2/3)))))) 128)
(*.f64 -1/6 (pow.f64 y 2))
(pow.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 0)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 0 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 1/2)))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 (*.f64 1/2 (*.f64 (cosh.f64 x) 1/2)) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))) (*.f64 (*.f64 1/2 (*.f64 (cosh.f64 x) 1/2)) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 2 (cosh.f64 x))) (*.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 2 (cosh.f64 x))))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 (*.f64 1/4 (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (*.f64 1/4 (*.f64 (cosh.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 (cosh.f64 x) 4)) (*.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2)) (*.f64 (cosh.f64 x) 4)))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 (*.f64 1/2 (/.f64 (cosh.f64 x) 4)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (*.f64 1/2 (/.f64 (cosh.f64 x) 4)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (cosh.f64 x) 4)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4)) (*.f64 (cosh.f64 x) 4)))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(-.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 0)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 1)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (*.f64 (cosh.f64 x) (+.f64 2 (*.f64 (pow.f64 y 2) -1/3))) 2)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) (*.f64 (cosh.f64 x) 4)) 4)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)) 8)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8)) 16)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8))) 32)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8)))) 64)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) (*.f64 (cosh.f64 x) 8))))) 128)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(pow.f64 (*.f64 (cosh.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)) 1)
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(-.f64 (*.f64 -1/6 (pow.f64 y 2)) -1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 0)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) 1/2)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 1/4)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 1/2 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1/2) 2)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 4)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 (+.f64 2 (*.f64 (pow.f64 y 2) -1/3)) 2)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 4) 4)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8) 8)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)) 16)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8))) 32)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8)))) 64)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 8))))) 128)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(pow.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) 1) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))

localize98.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.1b
(/.f64 (-.f64 (+.f64 (sin.f64 y) -1) -1) y)
0.4b
(+.f64 (sin.f64 y) -1)
5.0b
(-.f64 (+.f64 (sin.f64 y) -1) -1)
Compiler

Compiled 38 to 22 computations (42.1% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite84.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1348×rational.json-1
1348×rational.json-2
1348×rational.json-4
1348×rational.json-3
1340×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0951
16927
219027
346727
4124927
5402727
Stop Event
node limit
Counts
3 → 137
Calls
Call 1
Inputs
(-.f64 (+.f64 (sin.f64 y) -1) -1)
(+.f64 (sin.f64 y) -1)
(/.f64 (-.f64 (+.f64 (sin.f64 y) -1) -1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) 2) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sin.f64 y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) y))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (neg.f64 y) (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sin.f64 y) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sin.f64 y) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sin.f64 y) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sin.f64 y) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sin.f64 y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sin.f64 y) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sin.f64 y) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sin.f64 y) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 y) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 y) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 y) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sin.f64 y) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 y) -1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (neg.f64 (sin.f64 y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 1/2 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 (/.f64 1 y) 4) (/.f64 (/.f64 1 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 (/.f64 1 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sin.f64 y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) 4) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/4) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 1/2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 (*.f64 y 1/2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule 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(/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))))))

simplify159.0ms (1.1%)

Algorithm
egg-herbie
Rules
1264×rational.json-simplify-2
944×rational.json-simplify-53
836×rational.json-simplify-50
824×rational.json-simplify-1
716×rational.json-simplify-55
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02672639
15472603
226922489
356892489
Stop Event
node limit
Counts
173 → 183
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
-1
(-.f64 y 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (sin.f64 y) 0)
(+.f64 -1 (+.f64 (sin.f64 y) 1))
(+.f64 (+.f64 (sin.f64 y) -1) 1)
(+.f64 0 (sin.f64 y))
(+.f64 1 (+.f64 (sin.f64 y) -1))
(+.f64 (*.f64 (sin.f64 y) 2) (neg.f64 (sin.f64 y)))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(+.f64 2 (+.f64 (sin.f64 y) -2))
(+.f64 (+.f64 (sin.f64 y) 2) -2)
(+.f64 (+.f64 (sin.f64 y) -2) 2)
(+.f64 -2 (+.f64 (sin.f64 y) 2))
(+.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) 1)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(*.f64 1 (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(*.f64 (*.f64 (sin.f64 y) 8) 1/8)
(*.f64 1/2 (*.f64 (sin.f64 y) 2))
(*.f64 (*.f64 (sin.f64 y) -2) -1/2)
(*.f64 (*.f64 (sin.f64 y) 1/2) 2)
(*.f64 1/4 (*.f64 (sin.f64 y) 4))
(*.f64 -1/2 (*.f64 (sin.f64 y) -2))
(*.f64 1/8 (*.f64 (sin.f64 y) 8))
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(/.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(/.f64 (*.f64 (sin.f64 y) 8) 8)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) 4) -4)
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) 4)) 4)
(pow.f64 (sin.f64 y) 1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 (-.f64 (PI.f64) y))
(sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (-.f64 (neg.f64 y) (PI.f64)))
(-.f64 (sin.f64 y) 1)
(-.f64 -1 (neg.f64 (sin.f64 y)))
(-.f64 (+.f64 (sin.f64 y) -1) 0)
(-.f64 0 (-.f64 1 (sin.f64 y)))
(-.f64 (+.f64 (sin.f64 y) 1) 2)
(-.f64 (+.f64 (sin.f64 y) -2) -1)
(*.f64 (+.f64 (sin.f64 y) -1) 1)
(*.f64 1 (+.f64 (sin.f64 y) -1))
(*.f64 2 (*.f64 (+.f64 (sin.f64 y) -1) 1/2))
(*.f64 (*.f64 (+.f64 (sin.f64 y) -1) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (sin.f64 y) -1) 4))
(*.f64 (*.f64 (+.f64 (sin.f64 y) -1) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (sin.f64 y) -1) 2))
(*.f64 (*.f64 (+.f64 (sin.f64 y) -1) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (sin.f64 y) -1) 4))
(*.f64 (/.f64 (+.f64 (sin.f64 y) -1) 4) 4)
(/.f64 (+.f64 (sin.f64 y) -1) 1)
(/.f64 (*.f64 (+.f64 (sin.f64 y) -1) 2) 2)
(/.f64 (*.f64 (+.f64 (sin.f64 y) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (sin.f64 y) -1) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (sin.f64 y) -1) 8)) 16)
(pow.f64 (+.f64 (sin.f64 y) -1) 1)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(+.f64 (/.f64 (sin.f64 y) y) 0)
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(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (neg.f64 (sin.f64 y)) (+.f64 y y)))
(-.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 2))
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (sin.f64 y) (*.f64 1/2 (/.f64 2 y)))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(*.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 (/.f64 1 y) 4) (/.f64 (/.f64 1 y) 4)))
(*.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(*.f64 (*.f64 (sin.f64 y) 4) (/.f64 (/.f64 1 y) 4))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 1 y) 1/4))
(*.f64 (*.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1 (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 4 (/.f64 (sin.f64 y) (*.f64 y 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) 1/4)
(*.f64 (*.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(*.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 1/2))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(*.f64 (/.f64 (*.f64 y 1/2) (sin.f64 y)) (/.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(*.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
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(*.f64 1/4 (*.f64 (/.f64 (sin.f64 y) y) 4))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 y) 4) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) 1/4) (*.f64 (sin.f64 y) 4))
(*.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))
(*.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 1/2 (sin.f64 y)))
(*.f64 (/.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 (*.f64 y 1/2) (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) y)
(*.f64 (/.f64 1 (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))) (/.f64 (+.f64 y y) (sin.f64 y)))
(*.f64 (/.f64 2 (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 4)
(*.f64 (/.f64 1/2 (neg.f64 y)) (*.f64 (sin.f64 y) -2))
(*.f64 (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 (+.f64 y y) (sin.f64 y)))
(*.f64 (/.f64 y (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)
(*.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))
(*.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
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(neg.f64 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
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(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
-1
(-.f64 y 1)
(+.f64 y -1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) 1)
(+.f64 y (-.f64 (*.f64 -1/6 (pow.f64 y 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y -1))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) 1)
(+.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) (-.f64 (*.f64 -1/6 (pow.f64 y 3)) 1))
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(-.f64 (sin.f64 y) 1)
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(-.f64 (sin.f64 y) 1)
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(-.f64 (sin.f64 y) 1)
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(-.f64 (sin.f64 y) 1)
(+.f64 (sin.f64 y) -1)
1
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(sin.f64 y)
(*.f64 (sin.f64 y) 1)
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(*.f64 -1 (neg.f64 (sin.f64 y)))
(sin.f64 y)
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(*.f64 (+.f64 (sin.f64 y) -1) 1)
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(pow.f64 (+.f64 (sin.f64 y) -1) 1)
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(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
(*.f64 y (/.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))) (sin.f64 y)))
(*.f64 y (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
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(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) 1)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) 1)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1 (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 2 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 2 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 4 (/.f64 (sin.f64 y) (*.f64 y 4)))
(/.f64 (sin.f64 y) y)
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) 1/4)
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
(/.f64 (sin.f64 y) y)
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 y (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (*.f64 y 1/2) (sin.f64 y)) (/.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 y 1/2) (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) 2)))
(/.f64 (*.f64 y (/.f64 1/2 (sin.f64 y))) (/.f64 (/.f64 y (*.f64 (/.f64 (sin.f64 y) y) 2)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 y 2))))
(*.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (*.f64 (/.f64 (sin.f64 y) y) (+.f64 y y)))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (+.f64 y y) (/.f64 y (sin.f64 y))))))
(*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y 2))))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) 2) (/.f64 2 (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 2 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 2 y))
(/.f64 (sin.f64 y) y)
(*.f64 1/4 (*.f64 (/.f64 (sin.f64 y) y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 y (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(*.f64 (/.f64 (/.f64 1 y) 4) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (/.f64 1 y) 1/4) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 1/2 (/.f64 2 y)) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) 1)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 1/2 (sin.f64 y)))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (*.f64 (/.f64 (sin.f64 y) y) (+.f64 y y)))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (+.f64 y y) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 (*.f64 y 1/2) (sin.f64 y)))
(*.f64 (/.f64 (*.f64 y 1/2) (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) 2)))
(/.f64 (*.f64 y (/.f64 1/2 (sin.f64 y))) (/.f64 (/.f64 y (*.f64 (/.f64 (sin.f64 y) y) 2)) (sin.f64 y)))
(*.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 y 2))))
(*.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 y (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 y (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) y)
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
(*.f64 y (/.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))) (sin.f64 y)))
(*.f64 y (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (sin.f64 y)))
(*.f64 (/.f64 1 (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))) (/.f64 (+.f64 y y) (sin.f64 y)))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 2 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 (/.f64 2 (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) 1)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) 4)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1/2 (neg.f64 y)) (*.f64 (sin.f64 y) -2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))) (/.f64 (+.f64 y y) (sin.f64 y)))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 2 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 (/.f64 y (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y 2))))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) 2) (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 4) 4)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (sin.f64 y) 8))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (sin.f64 y) -2))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (sin.f64 y) y)) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 y (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))

eval184.0ms (1.3%)

Compiler

Compiled 7481 to 4386 computations (41.4% saved)

prune245.0ms (1.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New5042506
Fresh156
Picked011
Done268
Total50714521
Error
0b
Counts
521 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
32.8b
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
14.1b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)))))
14.5b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))
29.9b
(*.f64 (cosh.f64 x) (/.f64 (-.f64 (+.f64 (sin.f64 y) -1) -1) y))
61.3b
(*.f64 (cosh.f64 x) (/.f64 (-.f64 -1 -1) y))
29.9b
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 (sin.f64 y) -1) -1) y))
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
13.8b
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))))
0.5b
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
0.2b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.5b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)))
31.4b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) y))
32.1b
(*.f64 (cosh.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
31.1b
(*.f64 (cosh.f64 x) 1)
Compiler

Compiled 267 to 182 computations (31.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.1b
(/.f64 2 (sin.f64 y))
0.1b
(/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y))))
0.5b
(*.f64 y (/.f64 2 (sin.f64 y)))
Compiler

Compiled 38 to 21 computations (44.7% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(*.f64 y (/.f64 2 (sin.f64 y)))
0.0ms
y
@inf
(*.f64 y (/.f64 2 (sin.f64 y)))
0.0ms
y
@-inf
(/.f64 2 (sin.f64 y))
0.0ms
y
@0
(*.f64 y (/.f64 2 (sin.f64 y)))
0.0ms
y
@inf
(/.f64 2 (sin.f64 y))

rewrite97.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1474×rational.json-1
1474×rational.json-2
1474×rational.json-4
1474×rational.json-3
1464×exponential.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0951
16951
220439
364039
4232739
5547139
Stop Event
node limit
Counts
3 → 149
Calls
Call 1
Inputs
(*.f64 y (/.f64 2 (sin.f64 y)))
(/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (sin.f64 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (sin.f64 y))))))))

simplify106.0ms (0.7%)

Algorithm
egg-herbie
Rules
1444×rational.json-simplify-49
890×rational.json-simplify-43
866×rational.json-simplify-41
850×rational.json-simplify-55
818×rational.json-simplify-39
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03183047
19052997
224892975
354112975
Stop Event
node limit
Counts
177 → 199
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 2 (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 7/180 (pow.f64 y 4))))
(+.f64 2 (+.f64 (*.f64 31/7560 (pow.f64 y 6)) (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 7/180 (pow.f64 y 4)))))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 2 y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y))
(+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 1/3 y) (*.f64 7/180 (pow.f64 y 3))))
(+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 31/7560 (pow.f64 y 5)) (+.f64 (*.f64 1/3 y) (*.f64 7/180 (pow.f64 y 3)))))
(+.f64 (/.f64 (+.f64 y y) (sin.f64 y)) 0)
(+.f64 0 (/.f64 (+.f64 y y) (sin.f64 y)))
(+.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(-.f64 (/.f64 (+.f64 y y) (sin.f64 y)) 0)
(-.f64 0 (neg.f64 (/.f64 (+.f64 y y) (sin.f64 y))))
(-.f64 0 (*.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) 1/2))
(/.f64 y (+.f64 (*.f64 (*.f64 (sin.f64 y) 1/2) 1/2) (*.f64 (*.f64 (sin.f64 y) 1/2) 1/2)))
(/.f64 y (+.f64 (*.f64 (sin.f64 y) 1/4) (*.f64 (sin.f64 y) 1/4)))
(/.f64 y (+.f64 (/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4)) (/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4))))
(/.f64 y (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2))))
(/.f64 2 (/.f64 (sin.f64 y) y))
(/.f64 2 (+.f64 (/.f64 (/.f64 2 y) (*.f64 2 (/.f64 2 (sin.f64 y)))) (/.f64 (/.f64 2 y) (*.f64 2 (/.f64 2 (sin.f64 y))))))
(/.f64 (sin.f64 y) (*.f64 (/.f64 2 y) (*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))))
(/.f64 (/.f64 2 (sin.f64 y)) (/.f64 1 y))
(/.f64 (/.f64 2 (sin.f64 y)) (neg.f64 (/.f64 (/.f64 2 y) -2)))
(/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) 1)
(/.f64 1 (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(/.f64 1 (/.f64 (/.f64 2 y) (*.f64 2 (/.f64 2 (sin.f64 y)))))
(/.f64 1 (+.f64 (/.f64 (sin.f64 y) (*.f64 y 4)) (/.f64 (sin.f64 y) (*.f64 y 4))))
(/.f64 4 (*.f64 (sin.f64 y) (/.f64 2 y)))
(/.f64 (*.f64 4 (/.f64 y (sin.f64 y))) 2)
(/.f64 (*.f64 2 (sin.f64 y)) (+.f64 (*.f64 (/.f64 2 y) (*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))) (*.f64 (/.f64 2 y) (*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2)))))
(/.f64 8 (*.f64 (sin.f64 y) (/.f64 4 y)))
(/.f64 (*.f64 y (*.f64 (/.f64 2 (sin.f64 y)) 4)) 4)
(/.f64 (*.f64 2 (/.f64 2 (sin.f64 y))) (/.f64 2 y))
(/.f64 (*.f64 2 (/.f64 2 (sin.f64 y))) (*.f64 4 (/.f64 1/2 y)))
(/.f64 (+.f64 y y) (sin.f64 y))
(/.f64 -2 (*.f64 (/.f64 -2 y) (*.f64 (sin.f64 y) 1/2)))
(/.f64 -2 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 -2 (+.f64 (/.f64 (sin.f64 y) (neg.f64 (+.f64 y y))) (/.f64 (sin.f64 y) (neg.f64 (+.f64 y y)))))
(/.f64 (neg.f64 (/.f64 (+.f64 y y) (sin.f64 y))) -1)
(/.f64 (neg.f64 (/.f64 2 (sin.f64 y))) (/.f64 -2 (+.f64 y y)))
(/.f64 (neg.f64 (/.f64 2 (sin.f64 y))) (neg.f64 (/.f64 1 y)))
(/.f64 (neg.f64 y) (*.f64 (sin.f64 y) -1/2))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 (sin.f64 y) 1/2)))
(/.f64 (neg.f64 y) (/.f64 -2 (*.f64 2 (/.f64 2 (sin.f64 y)))))
(/.f64 (/.f64 y (sin.f64 y)) 1/2)
(/.f64 (*.f64 y 1/2) (*.f64 (*.f64 (sin.f64 y) 1/2) 1/2))
(/.f64 (*.f64 y 1/2) (*.f64 (sin.f64 y) 1/4))
(/.f64 (*.f64 y 1/2) (/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4)))
(/.f64 -1 (/.f64 (sin.f64 y) (neg.f64 (+.f64 y y))))
(/.f64 16 (*.f64 2 (*.f64 (sin.f64 y) (/.f64 4 y))))
(/.f64 (*.f64 4 (*.f64 4 (/.f64 y (sin.f64 y)))) 8)
(/.f64 (*.f64 (/.f64 2 (sin.f64 y)) 4) (/.f64 4 y))
(/.f64 -4 (*.f64 (sin.f64 y) (/.f64 -2 y)))
(/.f64 -4 (+.f64 (*.f64 (/.f64 -2 y) (*.f64 (sin.f64 y) 1/2)) (*.f64 (/.f64 -2 y) (*.f64 (sin.f64 y) 1/2))))
(/.f64 -4 (-.f64 0 (*.f64 (sin.f64 y) (/.f64 2 y))))
(/.f64 (*.f64 2 (neg.f64 (/.f64 2 (sin.f64 y)))) (+.f64 (/.f64 -2 (+.f64 y y)) (/.f64 -2 (+.f64 y y))))
(/.f64 (*.f64 y 4) (*.f64 2 (sin.f64 y)))
(/.f64 (*.f64 2 (neg.f64 y)) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 2 (neg.f64 y)) (+.f64 (*.f64 (sin.f64 y) -1/2) (*.f64 (sin.f64 y) -1/2)))
(/.f64 (*.f64 2 (neg.f64 y)) (+.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2)) (neg.f64 (*.f64 (sin.f64 y) 1/2))))
(/.f64 (*.f64 2 (neg.f64 y)) (+.f64 (/.f64 -2 (*.f64 2 (/.f64 2 (sin.f64 y)))) (/.f64 -2 (*.f64 2 (/.f64 2 (sin.f64 y))))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 4 y)) (+.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y)) -1)
(/.f64 1/2 (/.f64 (sin.f64 y) (*.f64 y 4)))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 y))
(/.f64 (/.f64 1 (sin.f64 y)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 (*.f64 2 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))
(/.f64 (*.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y))) -2)
(/.f64 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 y (sin.f64 y))))) 16)
(/.f64 (*.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4)) (*.f64 2 (/.f64 4 y)))
(/.f64 -8 (+.f64 (*.f64 (sin.f64 y) (/.f64 -2 y)) (*.f64 (sin.f64 y) (/.f64 -2 y))))
(/.f64 -8 (-.f64 0 (*.f64 (sin.f64 y) (/.f64 4 y))))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 y))) (*.f64 2 (neg.f64 (sin.f64 y))))
(/.f64 (/.f64 4 (sin.f64 y)) (/.f64 2 y))
(/.f64 (/.f64 y (neg.f64 (sin.f64 y))) -1/2)
(/.f64 (/.f64 y (*.f64 2 (sin.f64 y))) 1/4)
(/.f64 (/.f64 8 (sin.f64 y)) (/.f64 4 y))
(/.f64 (/.f64 -4 (sin.f64 y)) (/.f64 -2 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2)))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 y 4)) (neg.f64 (*.f64 2 (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (sin.f64 y)))) (/.f64 -2 y))
(/.f64 (+.f64 (/.f64 4 (sin.f64 y)) (/.f64 4 (sin.f64 y))) (/.f64 4 y))
(/.f64 (+.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 y (neg.f64 (sin.f64 y)))) -1)
(/.f64 (+.f64 (/.f64 8 (sin.f64 y)) (/.f64 8 (sin.f64 y))) (*.f64 2 (/.f64 4 y)))
(/.f64 (+.f64 (/.f64 -4 (sin.f64 y)) (/.f64 -4 (sin.f64 y))) (neg.f64 (/.f64 4 y)))
(/.f64 (+.f64 (/.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 (sin.f64 y) (/.f64 2 y))) (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) 1/2)))
(/.f64 (+.f64 (neg.f64 (*.f64 2 (/.f64 2 (sin.f64 y)))) (neg.f64 (*.f64 2 (/.f64 2 (sin.f64 y))))) (neg.f64 (/.f64 4 y)))
(/.f64 (+.f64 (neg.f64 (+.f64 y y)) (neg.f64 (+.f64 y y))) (*.f64 2 (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 2 (sin.f64 y)) 4)) (neg.f64 (/.f64 4 y)))
(/.f64 (neg.f64 (/.f64 4 (sin.f64 y))) (/.f64 -2 y))
(/.f64 (neg.f64 (/.f64 8 (sin.f64 y))) (neg.f64 (/.f64 4 y)))
(/.f64 (neg.f64 (/.f64 -4 (sin.f64 y))) (/.f64 2 y))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) (/.f64 2 y))) (-.f64 0 (*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 (sin.f64 y))))) (/.f64 2 y))
(/.f64 (neg.f64 (neg.f64 (+.f64 y y))) (sin.f64 y))
(/.f64 (neg.f64 (/.f64 1 (sin.f64 y))) (-.f64 0 (/.f64 1/2 y)))
(pow.f64 (/.f64 (+.f64 y y) (sin.f64 y)) 1)
(neg.f64 (neg.f64 (/.f64 (+.f64 y y) (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y)))
(neg.f64 (+.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 y (neg.f64 (sin.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(+.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (/.f64 (neg.f64 (sin.f64 y)) y))
(-.f64 0 (/.f64 (/.f64 -2 y) (/.f64 2 (sin.f64 y))))
(*.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) y) 2))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 2 (sin.f64 y)) (/.f64 1/2 y))
(*.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2))
(*.f64 (/.f64 4 y) (*.f64 (*.f64 (sin.f64 y) 1/2) 1/2))
(*.f64 (/.f64 4 y) (*.f64 (sin.f64 y) 1/4))
(*.f64 (/.f64 4 y) (/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4)))
(*.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (/.f64 -2 y) (/.f64 -1 (/.f64 2 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(*.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 2 y))
(*.f64 -1 (/.f64 (/.f64 -2 y) (/.f64 2 (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(*.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1/2 y) (*.f64 2 (sin.f64 y)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) 1/2) 1/2) (/.f64 4 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) -1)
(*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(*.f64 (/.f64 (/.f64 -2 y) (/.f64 2 (sin.f64 y))) -1)
(*.f64 (*.f64 (sin.f64 y) 1/4) (/.f64 4 y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) 2)
(*.f64 (/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4)) (/.f64 4 y))
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 (/.f64 2 (sin.f64 y))) (/.f64 -2 y))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(neg.f64 (/.f64 (/.f64 -2 y) (/.f64 2 (sin.f64 y))))
(+.f64 (/.f64 2 (sin.f64 y)) 0)
(+.f64 0 (/.f64 2 (sin.f64 y)))
(+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y)))
(-.f64 (/.f64 2 (sin.f64 y)) 0)
(-.f64 0 (neg.f64 (/.f64 2 (sin.f64 y))))
(*.f64 2 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 2 (sin.f64 y)) 1)
(*.f64 1 (/.f64 2 (sin.f64 y)))
(*.f64 (*.f64 2 (/.f64 2 (sin.f64 y))) 1/2)
(*.f64 (neg.f64 (/.f64 2 (sin.f64 y))) -1)
(*.f64 -1 (neg.f64 (/.f64 2 (sin.f64 y))))
(*.f64 1/2 (*.f64 2 (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) 2)
(pow.f64 (/.f64 2 (sin.f64 y)) 1)
(neg.f64 (neg.f64 (/.f64 2 (sin.f64 y))))
Outputs
2
(+.f64 2 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 2 (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 7/180 (pow.f64 y 4))))
(+.f64 (*.f64 1/3 (pow.f64 y 2)) (+.f64 (*.f64 7/180 (pow.f64 y 4)) 2))
(+.f64 (*.f64 1/3 (pow.f64 y 2)) (+.f64 2 (*.f64 7/180 (pow.f64 y 4))))
(+.f64 2 (+.f64 (*.f64 31/7560 (pow.f64 y 6)) (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 7/180 (pow.f64 y 4)))))
(+.f64 2 (+.f64 (*.f64 1/3 (pow.f64 y 2)) (+.f64 (*.f64 7/180 (pow.f64 y 4)) (*.f64 31/7560 (pow.f64 y 6)))))
(+.f64 (*.f64 1/3 (pow.f64 y 2)) (+.f64 (+.f64 (*.f64 7/180 (pow.f64 y 4)) (*.f64 31/7560 (pow.f64 y 6))) 2))
(+.f64 (*.f64 1/3 (pow.f64 y 2)) (+.f64 2 (+.f64 (*.f64 7/180 (pow.f64 y 4)) (*.f64 31/7560 (pow.f64 y 6)))))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) -1/6))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 (pow.f64 y 2) -1/6) (+.f64 (*.f64 (pow.f64 y 4) 1/120) 1))
(+.f64 (*.f64 (pow.f64 y 2) -1/6) (+.f64 1 (*.f64 (pow.f64 y 4) 1/120)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120)))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (+.f64 (*.f64 (pow.f64 y 4) 1/120) 1)) (*.f64 (pow.f64 y 6) -1/5040))
(+.f64 (*.f64 (pow.f64 y 2) -1/6) (+.f64 (+.f64 1 (*.f64 (pow.f64 y 4) 1/120)) (*.f64 (pow.f64 y 6) -1/5040)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (+.f64 (*.f64 (pow.f64 y 4) 1/120) (*.f64 (pow.f64 y 6) -1/5040))))
(+.f64 (*.f64 (pow.f64 y 2) -1/6) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/120) (*.f64 (pow.f64 y 6) -1/5040))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 2 y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y))
(+.f64 (*.f64 1/3 y) (*.f64 2 (/.f64 1 y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 1/3 y) (*.f64 7/180 (pow.f64 y 3))))
(+.f64 (*.f64 7/180 (pow.f64 y 3)) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y)))
(+.f64 (*.f64 1/3 y) (+.f64 (*.f64 7/180 (pow.f64 y 3)) (*.f64 2 (/.f64 1 y))))
(+.f64 (+.f64 (*.f64 1/3 y) (*.f64 2 (/.f64 1 y))) (*.f64 7/180 (pow.f64 y 3)))
(+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 31/7560 (pow.f64 y 5)) (+.f64 (*.f64 1/3 y) (*.f64 7/180 (pow.f64 y 3)))))
(+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 1/3 y) (+.f64 (*.f64 7/180 (pow.f64 y 3)) (*.f64 31/7560 (pow.f64 y 5)))))
(+.f64 (+.f64 (*.f64 7/180 (pow.f64 y 3)) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y))) (*.f64 31/7560 (pow.f64 y 5)))
(+.f64 (*.f64 7/180 (pow.f64 y 3)) (+.f64 (+.f64 (*.f64 1/3 y) (*.f64 2 (/.f64 1 y))) (*.f64 31/7560 (pow.f64 y 5))))
(+.f64 (/.f64 (+.f64 y y) (sin.f64 y)) 0)
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(+.f64 0 (/.f64 (+.f64 y y) (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(-.f64 (/.f64 (+.f64 y y) (sin.f64 y)) 0)
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(-.f64 0 (neg.f64 (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(-.f64 0 (*.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(/.f64 y (*.f64 (sin.f64 y) 1/2))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(/.f64 y (+.f64 (*.f64 (*.f64 (sin.f64 y) 1/2) 1/2) (*.f64 (*.f64 (sin.f64 y) 1/2) 1/2)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(/.f64 y (+.f64 (*.f64 (sin.f64 y) 1/4) (*.f64 (sin.f64 y) 1/4)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(/.f64 y (+.f64 (/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4)) (/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4))))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(/.f64 y (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2))))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (/.f64 (sin.f64 y) y))
(/.f64 2 (/.f64 (sin.f64 y) y))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 (+.f64 (/.f64 (/.f64 2 y) (*.f64 2 (/.f64 2 (sin.f64 y)))) (/.f64 (/.f64 2 y) (*.f64 2 (/.f64 2 (sin.f64 y))))))
(*.f64 2 (/.f64 y (sin.f64 y)))
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(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (/.f64 -2 y) (/.f64 2 (sin.f64 y))) -1)
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (sin.f64 y) 1/4) (/.f64 4 y))
(*.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 1/2 (/.f64 4 y)))
(*.f64 (sin.f64 y) (*.f64 1/4 (/.f64 4 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) 2)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) 4)) (/.f64 4 y))
(*.f64 (/.f64 2 (*.f64 4 (/.f64 2 (sin.f64 y)))) (/.f64 4 y))
(*.f64 (/.f64 1/2 (/.f64 2 (sin.f64 y))) (/.f64 4 y))
(/.f64 (/.f64 (sin.f64 y) 4) (/.f64 y 4))
(*.f64 (/.f64 (sin.f64 y) 4) (/.f64 4 y))
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 (/.f64 2 (sin.f64 y))) (/.f64 -2 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (/.f64 -2 y) (/.f64 2 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 2 (sin.f64 y)) 0)
(/.f64 2 (sin.f64 y))
(+.f64 0 (/.f64 2 (sin.f64 y)))
(/.f64 2 (sin.f64 y))
(+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y)))
(/.f64 2 (sin.f64 y))
(-.f64 (/.f64 2 (sin.f64 y)) 0)
(/.f64 2 (sin.f64 y))
(-.f64 0 (neg.f64 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))
(*.f64 2 (/.f64 1 (sin.f64 y)))
(/.f64 2 (sin.f64 y))
(*.f64 (/.f64 2 (sin.f64 y)) 1)
(/.f64 2 (sin.f64 y))
(*.f64 1 (/.f64 2 (sin.f64 y)))
(/.f64 2 (sin.f64 y))
(*.f64 (*.f64 2 (/.f64 2 (sin.f64 y))) 1/2)
(/.f64 2 (sin.f64 y))
(*.f64 (neg.f64 (/.f64 2 (sin.f64 y))) -1)
(/.f64 2 (sin.f64 y))
(*.f64 -1 (neg.f64 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))
(*.f64 1/2 (*.f64 2 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) 2)
(/.f64 2 (sin.f64 y))
(pow.f64 (/.f64 2 (sin.f64 y)) 1)
(/.f64 2 (sin.f64 y))
(neg.f64 (neg.f64 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
0.2b
(*.f64 -1/6 (pow.f64 y 2))
Compiler

Compiled 21 to 17 computations (19% saved)

localize10.0ms (0.1%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (cosh.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
0.0b
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
0.4b
(*.f64 -1/6 y)
0.4b
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)
Compiler

Compiled 42 to 27 computations (35.7% saved)

series9.0ms (0.1%)

Counts
4 → 39
Calls

15 calls:

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

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1238×rational.json-1
1238×rational.json-2
1238×rational.json-4
1238×rational.json-3
1234×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01386
19886
221086
342686
486486
5232586
6529786
Stop Event
node limit
Counts
4 → 51
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)
(*.f64 -1/6 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 (cosh.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 y 1/2)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/12) (*.f64 y -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y -2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 y -2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y -2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (*.f64 y 1/2))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 1)))))

simplify176.0ms (1.2%)

Algorithm
egg-herbie
Rules
2056×rational.json-simplify-51
1720×rational.json-simplify-53
1662×rational.json-simplify-35
1340×rational.json-simplify-2
858×rational.json-simplify-1
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01432828
13682540
210442492
321832492
430782492
536012492
638532492
742812492
849082468
Stop Event
node limit
Counts
90 → 90
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 1 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 4)))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 4)))) (+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y) (*.f64 1/720 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 6)))))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 0)
(+.f64 0 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 y 1/2)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 y 1/2)))
(-.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 0)
(/.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 1)
(/.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2)) 2)
(/.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)) 4)
(/.f64 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))))) 32)
(pow.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 1)
(+.f64 (*.f64 y -1/6) 0)
(+.f64 0 (*.f64 y -1/6))
(+.f64 (*.f64 y -1/12) (*.f64 y -1/12))
(-.f64 (*.f64 y -1/6) 0)
(/.f64 (*.f64 y -1/6) 1)
(/.f64 (*.f64 y -1/3) 2)
(/.f64 (*.f64 y -2/3) 4)
(/.f64 (*.f64 2 (*.f64 y -2/3)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 y -2/3))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y -2/3)))) 32)
(pow.f64 (*.f64 y -1/6) 1)
(-.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 0)
(*.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)
(*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1/2))
(*.f64 4 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))
(*.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2) 1/2)
(*.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2))
(*.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))
(*.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 4)
(/.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)
(/.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2) 2)
(/.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)))) 32)
(pow.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)
(+.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 0)
(+.f64 0 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))))
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (*.f64 y 1/2))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (*.f64 y 1/2))))
(-.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 0)
(/.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (+.f64 y y))) 2)
(/.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4)) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4))))) 32)
(pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 1)
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(/.f64 1 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
(+.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (*.f64 (*.f64 y (pow.f64 x 2)) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 y (*.f64 1/2 (*.f64 y (pow.f64 x 2)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 4)))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 y (pow.f64 x 2)) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/24 (*.f64 y (*.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))))
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 y (*.f64 1/2 (*.f64 y (pow.f64 x 2))))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 1/2 (*.f64 y (pow.f64 x 2))))))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 y (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 x 4))) (*.f64 1/2 (*.f64 y (pow.f64 x 2))))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 4)))) (+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y) (*.f64 1/720 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (pow.f64 x 6)))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 y (pow.f64 x 2)) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/720 (*.f64 (*.f64 y (pow.f64 x 6)) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 1/24 (*.f64 y (*.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 y (*.f64 1/720 (*.f64 y (pow.f64 x 6)))))))
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 y (*.f64 1/720 (*.f64 y (pow.f64 x 6))))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 x 2))) (*.f64 1/24 (*.f64 y (pow.f64 x 4))))))
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 y (*.f64 1/720 (*.f64 y (pow.f64 x 6))))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 x 4))) (*.f64 1/2 (*.f64 y (pow.f64 x 2))))))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 (*.f64 1/720 (*.f64 y (pow.f64 x 6))) (+.f64 y (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 x 4))) (*.f64 1/2 (*.f64 y (pow.f64 x 2)))))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) 1/2))
(*.f64 1/2 (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) 1/2))
(*.f64 1/2 (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) 1/2))
(*.f64 1/2 (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) 1/2))
(*.f64 1/2 (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) 1/2))
(*.f64 1/2 (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) 1/2))
(*.f64 1/2 (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) 1/2))
(*.f64 1/2 (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) 1/2))
(*.f64 1/2 (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12))
(*.f64 (pow.f64 y 2) (*.f64 -1/12 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 y 2) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12))
(*.f64 (pow.f64 y 2) (*.f64 -1/12 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 y 2) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 2) -1/12)))
(+.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 0)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(+.f64 0 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 y 1/2)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 y 1/2)))
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(-.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 0)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 1)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2)) 2)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)) 4)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))) 8)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)))) 16)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))))) 32)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(pow.f64 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))) 1)
(*.f64 y (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(+.f64 (*.f64 y -1/6) 0)
(*.f64 -1/6 y)
(+.f64 0 (*.f64 y -1/6))
(*.f64 -1/6 y)
(+.f64 (*.f64 y -1/12) (*.f64 y -1/12))
(*.f64 -1/6 y)
(-.f64 (*.f64 y -1/6) 0)
(*.f64 -1/6 y)
(/.f64 (*.f64 y -1/6) 1)
(*.f64 -1/6 y)
(/.f64 (*.f64 y -1/3) 2)
(*.f64 -1/6 y)
(/.f64 (*.f64 y -2/3) 4)
(*.f64 -1/6 y)
(/.f64 (*.f64 2 (*.f64 y -2/3)) 8)
(*.f64 -1/6 y)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 y -2/3))) 16)
(*.f64 -1/6 y)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y -2/3)))) 32)
(*.f64 -1/6 y)
(pow.f64 (*.f64 y -1/6) 1)
(*.f64 -1/6 y)
(-.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 0)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1/2))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 4 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2) 1/2)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 1/4)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1/2) 2)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 1/4 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 4)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(/.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(/.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 2) 2)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(/.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4) 4)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)) 8)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4))) 16)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 4)))) 32)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(pow.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 0)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(+.f64 0 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (*.f64 y 1/2))) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (*.f64 y 1/2))))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(-.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 0)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(/.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 1)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (cosh.f64 x) (+.f64 y y))) 2)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4)) 4)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4))) 8)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4)))) 16)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (*.f64 (*.f64 y (cosh.f64 x)) 4))))) 32)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))
(pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) (cosh.f64 x))) 1)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (*.f64 y (cosh.f64 x)))
(*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) (cosh.f64 x)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.1b
(*.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))
0.1b
(/.f64 (neg.f64 y) (sin.f64 y))
13.8b
(/.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 y) (sin.f64 y))))
Compiler

Compiled 45 to 9 computations (80% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite73.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1560×rational.json-simplify-35
920×rational.json-simplify-2
898×rational.json-1
898×rational.json-2
898×rational.json-4
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0967
17267
224259
397447
4429947
Stop Event
node limit
Counts
3 → 195
Calls
Call 1
Inputs
(/.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (neg.f64 y) (sin.f64 y))
(*.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (/.f64 0 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 y) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 (sin.f64 y) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 (/.f64 (sin.f64 y) y) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (*.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (*.f64 (/.f64 (/.f64 1 y) (*.f64 y -2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 y (*.f64 y (/.f64 2 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 y -2)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 (sin.f64 y) y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 -1 (*.f64 y (/.f64 (*.f64 y -2) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 y (*.f64 y (*.f64 y (/.f64 2 (sin.f64 y))))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 y (*.f64 y (/.f64 (*.f64 y -2) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 (*.f64 y -2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sin.f64 y) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 -1/2 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -4) (/.f64 1 (*.f64 y (*.f64 (/.f64 y (sin.f64 y)) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 -2 y)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (/.f64 (/.f64 (*.f64 (sin.f64 y) 4) y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 y -2)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 y) (/.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 -1 y)) (*.f64 1/2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -1 y)) (*.f64 -1/2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 y)) (/.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 y)) (/.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) y) 1/2) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -2) (/.f64 -1 (sin.f64 y))) (/.f64 (/.f64 1 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (/.f64 (*.f64 y -2) (sin.f64 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (*.f64 y -2) (sin.f64 y))) (/.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (*.f64 y -2) (sin.f64 y))) (/.f64 -4 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 -1/2 y)) (/.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 y -2) (sin.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (/.f64 -1 (sin.f64 y))) (/.f64 (/.f64 1 y) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 1 y)) (/.f64 (/.f64 (/.f64 (sin.f64 y) y) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 1 y)) (/.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) y) (neg.f64 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simplify141.0ms (1%)

Algorithm
egg-herbie
Rules
1246×rational.json-simplify-35
906×rational.json-simplify-55
730×rational.json-simplify-44
692×rational.json-simplify-47
616×rational.json-simplify-49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04626653
112966113
250235413
373535363
Stop Event
node limit
Counts
231 → 378
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
-1
(-.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 y 4)) (*.f64 -1/6 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 y 4)) (+.f64 (*.f64 -31/15120 (pow.f64 y 6)) (*.f64 -1/6 (pow.f64 y 2)))) 1)
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 y)
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Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 1 (*.f64 1/120 (pow.f64 y 4))))
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(*.f64 y (/.f64 -2 (neg.f64 (*.f64 (sin.f64 y) (/.f64 -2 y)))))
(*.f64 y (/.f64 2 (*.f64 (sin.f64 y) (/.f64 -2 y))))
(/.f64 (*.f64 y (/.f64 (*.f64 y -2) (sin.f64 y))) 2)
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (+.f64 y y) (*.f64 (sin.f64 y) (/.f64 -2 y)))
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 y (*.f64 (/.f64 y (sin.f64 y)) -4)) 4)
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (/.f64 (*.f64 y -2) (sin.f64 y)) (*.f64 -2 (/.f64 -1 y)))
(/.f64 (*.f64 y -2) (*.f64 (sin.f64 y) (*.f64 -2 (/.f64 -1 y))))
(/.f64 y (/.f64 -1 (*.f64 (/.f64 y (sin.f64 y)) 1)))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) 1) (/.f64 -1 y))
(/.f64 (/.f64 (*.f64 y -2) (sin.f64 y)) (/.f64 2 y))
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 y (/.f64 y (sin.f64 y))) -1)
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (/.f64 y (sin.f64 y)) (/.f64 -1 y))
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (*.f64 2 (/.f64 -1 y)))
(*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (*.f64 2 (/.f64 -1 y))))
(*.f64 y (/.f64 (/.f64 2 (sin.f64 y)) (*.f64 2 (/.f64 -1 y))))
(/.f64 (*.f64 y 4) (*.f64 2 (*.f64 (sin.f64 y) (/.f64 -2 y))))
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 y -2) (sin.f64 y))) 4) 8)
(*.f64 4 (/.f64 (*.f64 y (*.f64 -2 (/.f64 y (sin.f64 y)))) 8))
(*.f64 (*.f64 -2 (*.f64 y (/.f64 y (sin.f64 y)))) 1/2)
(*.f64 (*.f64 y (*.f64 y (/.f64 -2 (sin.f64 y)))) 1/2)
(/.f64 (*.f64 y (*.f64 y (/.f64 2 (sin.f64 y)))) -2)
(*.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 y -2))
(*.f64 y (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) -2))
(/.f64 (*.f64 (/.f64 2 (sin.f64 y)) (*.f64 y y)) -2)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) -1/2) (/.f64 1/2 y))
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 2 (*.f64 (*.f64 y (/.f64 (*.f64 y -2) (sin.f64 y))) 4)) 16)
(*.f64 4 (/.f64 (*.f64 y (*.f64 -2 (/.f64 y (sin.f64 y)))) 8))
(*.f64 (*.f64 -2 (*.f64 y (/.f64 y (sin.f64 y)))) 1/2)
(*.f64 (*.f64 y (*.f64 y (/.f64 -2 (sin.f64 y)))) 1/2)
(pow.f64 (*.f64 y (/.f64 y (neg.f64 (sin.f64 y)))) 1)
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (*.f64 y (/.f64 y (sin.f64 y))))
(*.f64 y (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))
(/.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))

eval205.0ms (1.4%)

Compiler

Compiled 12863 to 7146 computations (44.4% saved)

prune168.0ms (1.2%)

Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New7885793
Fresh112
Picked011
Done11011
Total79017807
Error
0b
Counts
807 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
32.8b
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
33.1b
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)
29.1b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (*.f64 y (sin.f64 y)))))
14.5b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))
29.9b
(*.f64 (cosh.f64 x) (/.f64 (-.f64 (+.f64 (sin.f64 y) -1) -1) y))
61.3b
(*.f64 (cosh.f64 x) (/.f64 (-.f64 -1 -1) y))
29.9b
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 (sin.f64 y) -1) -1) y))
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
13.8b
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))))
0.5b
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
30.7b
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y)))))
0.2b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.5b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)))
31.4b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) y))
31.1b
(*.f64 (cosh.f64 x) 1)
62.7b
(*.f64 -1/6 (pow.f64 y 2))
32.1b
1
Compiler

Compiled 193 to 142 computations (26.4% saved)

regimes56.0ms (0.4%)

Counts
27 → 1
Calls
Call 1
Inputs
1
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)
(*.f64 (cosh.f64 x) 1)
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 1 -1) y))
(*.f64 (cosh.f64 x) (/.f64 (-.f64 -1 -1) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 y -1) -1) y))
(*.f64 (cosh.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y)))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 (sin.f64 y) -1) -1) y))
(*.f64 (cosh.f64 x) (/.f64 (-.f64 (+.f64 (sin.f64 y) -1) -1) y))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 1 y)))
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (*.f64 y (sin.f64 y)))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y)))))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y)))))
(*.f64 (cosh.f64 x) (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) y))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 (sin.f64 y) (/.f64 1/2 y)))) (*.f64 2 (/.f64 y (sin.f64 y)))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

12.0ms
x
12.0ms
y
11.0ms
(/.f64 (sin.f64 y) y)
11.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
(cosh.f64 x)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
0.1b1(cosh.f64 x)
0.1b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 330 to 168 computations (49.1% saved)

regimes18.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
1
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)
(*.f64 (cosh.f64 x) 1)
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 1 -1) y))
(*.f64 (cosh.f64 x) (/.f64 (-.f64 -1 -1) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 y -1) -1) y))
(*.f64 (cosh.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y)))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y)))))
Calls

3 calls:

7.0ms
x
6.0ms
y
2.0ms
(cosh.f64 x)
Results
ErrorSegmentsBranch
30.7b1x
30.7b1y
30.7b1(cosh.f64 x)
Compiler

Compiled 100 to 67 computations (33% saved)

regimes17.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
1
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)
(*.f64 (cosh.f64 x) 1)
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 1 -1) y))
(*.f64 (cosh.f64 x) (/.f64 (-.f64 -1 -1) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (-.f64 y -1) -1) y))
(*.f64 (cosh.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y))
Outputs
(*.f64 (cosh.f64 x) 1)
Calls

3 calls:

6.0ms
y
6.0ms
x
2.0ms
(cosh.f64 x)
Results
ErrorSegmentsBranch
31.1b1x
31.1b1y
31.1b1(cosh.f64 x)
Compiler

Compiled 84 to 56 computations (33.3% saved)

regimes7.0ms (0%)

Accuracy

Total -1.3b remaining (-4%)

Threshold costs -1.3b (-4%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
32.1b1x
32.1b1y
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02080
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y)))))
(*.f64 (cosh.f64 x) 1)
1
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) (/.f64 2 (*.f64 y (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/3 y)))))
(*.f64 (cosh.f64 x) 1)
1
Compiler

Compiled 36 to 28 computations (22.2% saved)

soundness0.0ms (0%)

end26.0ms (0.2%)

Compiler

Compiled 30 to 20 computations (33.3% saved)

Profiling

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