Details

Time bar (total: 16.4s)

analyze268.0ms (1.6%)

Algorithm
1×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)

sample6.4s (38.8%)

Results
1.7s5136×body256valid
1.6s2066×body1024valid
1.4s2038×body1024infinite
668.0ms1489×body256infinite
591.0ms1025×body512infinite
400.0ms1051×body512valid
4.0ms3×body2048valid
Bogosity

preprocess262.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
1840×trig.json-simplify-41
776×rational.json-simplify-41
740×rational.json-simplify-2
528×trig.json-simplify-20
448×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
12142
22542
33242
44442
56442
615742
768242
8136342
9349042
022
Stop Event
1×saturated
1×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)

simplify122.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1330×rational.json-simplify-2
894×rational.json-simplify-1
886×rational.json-simplify-46
876×trig.json-simplify-41
676×rational.json-simplify-43
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11421
21621
32021
42721
53821
69021
737121
876221
9244821
10707621
Stop Event
1×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 1 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 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)

rewrite85.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1630×rational.json-1
1630×rational.json-2
1626×rational.json-5
1624×exponential.json-3
1624×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
15411
220911
380411
4326411
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) 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) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(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) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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 (neg.f64 (/.f64 (sin.f64 y) y)))))))

simplify256.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1032×rational.json-simplify-2
984×rational.json-simplify-50
786×rational.json-simplify-54
698×rational.json-simplify-104
530×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045266
181266
2151266
3453266
41855266
54527266
67225266
Stop Event
1×node limit
Counts
18 → 27
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 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (neg.f64 (/.f64 (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 -1/6 (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))))
(+.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 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1)) (*.f64 -1/5040 (pow.f64 y 6)))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (+.f64 1 (*.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 (*.f64 1/120 (pow.f64 y 4)))) (*.f64 -1/5040 (pow.f64 y 6)))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6))) 1))
(+.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 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/5040 (pow.f64 y 6)))))
(+.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) y) 0)
(/.f64 (sin.f64 y) y)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)

eval7.0ms (0%)

Compiler

Compiled 448 to 220 computations (50.9% saved)

prune7.0ms (0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh000
Picked011
Done000
Total23528
Error
0.1b
Counts
28 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶34.1b
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
▶27.7b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
▶15.4b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
▶33.3b
(*.f64 (cosh.f64 x) 1)
Compiler

Compiled 89 to 44 computations (50.6% saved)

localize6.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
✓0.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
✓0.2b
(/.f64 1 (/.f64 (sin.f64 y) y))
✓15.4b
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
Compiler

Compiled 63 to 16 computations (74.6% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite131.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1454×rational.json-simplify-47
802×rational.json-simplify-58
604×rational.json-simplify-55
556×rational.json-5
554×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01093
18955
230155
3113155
4520255
Stop Event
1×node limit
Counts
3 → 73
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(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) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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 (neg.f64 (/.f64 (sin.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (/.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) 1) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))))))
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simplify214.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1540×rational.json-simplify-104
1474×rational.json-simplify-76
1322×rational.json-simplify-55
1220×rational.json-simplify-47
966×rational.json-simplify-50
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01952337
14232337
27082337
332992337
Stop Event
1×node limit
Counts
109 → 105
Calls
Call 1
Inputs
1
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(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
1
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1
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(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))
(pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
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(-.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 1)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) 1)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
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(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
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(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) (fabs.f64 y))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (sin.f64 y) y))))
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(fabs.f64 (*.f64 (/.f64 (sin.f64 y) (fabs.f64 y)) (/.f64 (sin.f64 y) y)))
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(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (sin.f64 y) y)))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (fabs.f64 (/.f64 (sin.f64 y) y))))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) y))))
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(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))
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(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) 2) (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) 2))))
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(fabs.f64 (/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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))))
(+.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 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1)) (*.f64 -1/5040 (pow.f64 y 6)))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (+.f64 1 (*.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 (*.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)
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(/.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
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(/.f64 y (sin.f64 y))
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(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
1
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(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)) (*.f64 (pow.f64 y 6) -1/315)))
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(/.f64 1 (/.f64 (sin.f64 y) y))
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(/.f64 1 (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
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(-.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) 0)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
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(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 1)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
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(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) 1)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) (fabs.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) (fabs.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) (fabs.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) (fabs.f64 y)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) (fabs.f64 y)) (fabs.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) (fabs.f64 y)) (neg.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) (fabs.f64 y)) (/.f64 (sin.f64 y) (fabs.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) (fabs.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (fabs.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (sin.f64 y) (fabs.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (fabs.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (fabs.f64 (/.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 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) 2) (*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) 2))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))

localize90.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
0.2b
(/.f64 1 (/.f64 (sin.f64 y) y))
✓27.3b
(*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
Compiler

Compiled 152 to 23 computations (84.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite312.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1356×rational.json-simplify-47
958×rational.json-simplify-55
688×rational.json-5
686×exponential.json-3
686×rational.json-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013113
1115113
238811
3152011
4672711
Stop Event
1×node limit
Counts
1 → 10
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(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) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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 (neg.f64 (/.f64 (sin.f64 y) y)))))))

simplify181.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1368×rational.json-simplify-111
1084×rational.json-simplify-49
938×rational.json-simplify-47
886×rational.json-simplify-76
782×rational.json-simplify-79
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038310
174310
2138310
3355310
41300310
52958310
66710310
Stop Event
1×node limit
Counts
22 → 18
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) y) 0)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (neg.f64 (/.f64 (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 -1/6 (pow.f64 y 2)) (+.f64 1 (*.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 1/120 (pow.f64 y 4)) (+.f64 (*.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) y) 0)
(/.f64 (sin.f64 y) y)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 34 to 25 computations (26.5% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(*.f64 -1/6 (pow.f64 y 2))
0.0ms
y
@0
(*.f64 -1/6 (pow.f64 y 2))
0.0ms
y
@-inf
(*.f64 -1/6 (pow.f64 y 2))

rewrite157.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1164×rational.json-5
1162×exponential.json-3
1162×rational.json-1
1162×rational.json-2
1162×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
15713
217413
360513
4230713
Stop Event
1×node limit
Counts
1 → 9
Calls
Call 1
Inputs
(*.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 -1/6 (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 -1/6 (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 y 2)))) 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 -1/6 (pow.f64 y 2)) (/.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/6 (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -1/6 (pow.f64 y 2))))))))

simplify246.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1668×rational.json-simplify-47
772×rational.json-simplify-1
702×rational.json-simplify-111
674×rational.json-simplify-104
670×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024117
147117
2118117
3347117
41336117
53330117
66021117
77934117
Stop Event
1×node limit
Counts
9 → 10
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) 0)
(+.f64 0 (*.f64 -1/6 (pow.f64 y 2)))
(-.f64 (*.f64 -1/6 (pow.f64 y 2)) 0)
(-.f64 0 (neg.f64 (*.f64 -1/6 (pow.f64 y 2))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 y 2)))) 1)
(/.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(/.f64 (*.f64 -1/6 (pow.f64 y 2)) (/.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/6 (pow.f64 y 2))))
(pow.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(neg.f64 (neg.f64 (*.f64 -1/6 (pow.f64 y 2))))
Outputs
(+.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 -1/6 (pow.f64 y 2)) 0)
(*.f64 -1/6 (pow.f64 y 2))
(-.f64 0 (neg.f64 (*.f64 -1/6 (pow.f64 y 2))))
(*.f64 -1/6 (pow.f64 y 2))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 y 2)))) 1)
(*.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 -1/6 (pow.f64 y 2)) (/.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/6 (pow.f64 y 2))))
(*.f64 -1/6 (pow.f64 y 2))
(pow.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(*.f64 -1/6 (pow.f64 y 2))
(neg.f64 (neg.f64 (*.f64 -1/6 (pow.f64 y 2))))
(*.f64 -1/6 (pow.f64 y 2))

eval295.0ms (1.8%)

Compiler

Compiled 21405 to 5940 computations (72.2% saved)

prune270.0ms (1.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5395544
Fresh000
Picked011
Done134
Total5409549
Error
0.1b
Counts
549 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓34.1b
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
▶27.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
▶15.5b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
▶30.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
✓15.4b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
▶16.1b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
▶16.9b
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
✓33.3b
(*.f64 (cosh.f64 x) 1)
Compiler

Compiled 412 to 175 computations (57.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 y (sin.f64 y))
0.1b
(/.f64 (sin.f64 y) y)
0.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
✓15.4b
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
Compiler

Compiled 56 to 9 computations (83.9% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite120.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
808×rational.json-simplify-49
768×rational.json-simplify-47
756×rational.json-simplify-54
660×rational.json-simplify-50
578×rational.json-5
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0954
18254
230354
3116854
4509954
Stop Event
1×node limit
Counts
2 → 27
Calls
Call 1
Inputs
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 y (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 1 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (/.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 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) 1) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.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 (neg.f64 (/.f64 y (sin.f64 y))))))))

simplify150.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1082×rational.json-simplify-2
1022×rational.json-simplify-47
752×rational.json-simplify-54
718×rational.json-simplify-41
672×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084897
1180897
2380897
31486897
45206897
Stop Event
1×node limit
Counts
43 → 46
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 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 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)
(+.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(-.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) 1)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(+.f64 0 (/.f64 y (sin.f64 y)))
(-.f64 (/.f64 y (sin.f64 y)) 0)
(-.f64 0 (neg.f64 (/.f64 y (sin.f64 y))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 y (sin.f64 y)))) 1)
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(*.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 1 (/.f64 y (sin.f64 y))))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) 1))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) 1) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(neg.f64 (neg.f64 (/.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 (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 1 (+.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)
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 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 1 (+.f64 (*.f64 (pow.f64 y 4) 7/360) (+.f64 (*.f64 (pow.f64 y 6) 31/15120) (*.f64 (pow.f64 y 2) 1/6))))
(+.f64 (*.f64 (pow.f64 y 4) 7/360) (+.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/6) (*.f64 (pow.f64 y 6) 31/15120)) 1))
(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/6) (*.f64 (pow.f64 y 4) 7/360)) (*.f64 (pow.f64 y 6) 31/15120)))
(+.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(+.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(-.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(-.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) 1)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(neg.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(+.f64 0 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(-.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(-.f64 0 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 y (sin.f64 y)))) 1)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (/.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 (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 1 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) 1))
(/.f64 y (sin.f64 y))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(/.f64 y (sin.f64 y))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) 1) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(/.f64 y (sin.f64 y))
(*.f64 (*.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(neg.f64 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (sin.f64 y) y))
✓0.3b
(pow.f64 (sin.f64 y) 2)
✓14.8b
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
✓15.4b
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
Compiler

Compiled 68 to 35 computations (48.5% saved)

series1.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(pow.f64 (sin.f64 y) 2)
0.0ms
y
@0
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
0.0ms
y
@inf
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
0.0ms
y
@-inf
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
0.0ms
y
@0
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))

rewrite137.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
748×rational.json-simplify-47
726×rational.json-simplify-54
636×rational.json-5
634×exponential.json-3
634×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01379
110979
234379
3129579
4539479
Stop Event
1×node limit
Counts
3 → 48
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(pow.f64 (sin.f64 y) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 1 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)) (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)))))))

simplify199.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1380×rational.json-simplify-2
1266×rational.json-simplify-47
1038×rational.json-simplify-1
930×rational.json-simplify-54
716×rational.json-simplify-43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341602
12821582
25821582
320411570
468341570
Stop Event
1×node limit
Counts
68 → 87
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 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2))))
(+.f64 (*.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(+.f64 0 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(-.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(pow.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(+.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) 1)
(*.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
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(-.f64 (pow.f64 (sin.f64 y) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1)
(*.f64 1 (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) 1)
(*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 1 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2))
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)) (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2)))
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)))
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 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) 1))
(+.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 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 1 (*.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)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) -1/3))
(+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)))
(+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 1 (*.f64 (pow.f64 y 4) 2/45)))
(+.f64 (*.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)) (*.f64 (pow.f64 y 6) -1/315)))
(+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)) (+.f64 1 (*.f64 (pow.f64 y 6) -1/315)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 (*.f64 (pow.f64 y 4) 2/45) (*.f64 (pow.f64 y 6) -1/315))))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (pow.f64 y 2) (*.f64 (pow.f64 y 4) -1/3))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 (pow.f64 y 4) -1/3) (+.f64 (pow.f64 y 2) (*.f64 (pow.f64 y 6) 2/45)))
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 y 6) 2/45) (*.f64 (pow.f64 y 4) -1/3)))
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 y 4) -1/3) (*.f64 (pow.f64 y 6) 2/45)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (*.f64 (pow.f64 y 4) -1/3) (+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/315 (pow.f64 y 8)) (*.f64 (pow.f64 y 6) 2/45))))
(+.f64 (pow.f64 y 2) (+.f64 (+.f64 (*.f64 (pow.f64 y 6) 2/45) (*.f64 -1/315 (pow.f64 y 8))) (*.f64 (pow.f64 y 4) -1/3)))
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 y 4) -1/3) (+.f64 (*.f64 (pow.f64 y 6) 2/45) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
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(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(-.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
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(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
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(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
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(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
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(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
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(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
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(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
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(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
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(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1)
(pow.f64 (sin.f64 y) 2)
(*.f64 1 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 1 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2)
(pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 1 (sin.f64 y)))) 2)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) (sin.f64 y))) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (sin.f64 y)))) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 1 (sin.f64 y)))) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) (sin.f64 y))) 2))
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2) (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)) (pow.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) 2)))
(pow.f64 (sin.f64 y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (sin.f64 y) y))
✓0.2b
(/.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
✓15.4b
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
15.4b
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
Compiler

Compiled 121 to 30 computations (75.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite128.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1446×rational.json-simplify-47
802×rational.json-simplify-58
604×rational.json-simplify-55
566×rational.json-5
564×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012142
110828
236828
3119828
4525928
Stop Event
1×node limit
Counts
2 → 27
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(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) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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 (neg.f64 (/.f64 (sin.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (/.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) 1) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))))))

simplify235.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
948×rational.json-simplify-47
884×exponential.json-simplify-26
730×rational.json-simplify-2
710×rational.json-simplify-41
688×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081799
1179799
2343799
31203799
44291799
57749799
Stop Event
1×node limit
Counts
51 → 46
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 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 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (/.f64 1 (/.f64 (sin.f64 y) y)))
(-.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (sin.f64 y) y)))) 1)
(*.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))
(*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))))
(*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) 1))
(*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 1 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))
(*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (/.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) 1) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))
(pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (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 -1/6 (pow.f64 y 2)) (+.f64 1 (*.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 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) 1))
(+.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 1 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.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)
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 1 (+.f64 (*.f64 (pow.f64 y 4) 7/360) (+.f64 (*.f64 (pow.f64 y 2) 1/6) (*.f64 (pow.f64 y 6) 31/15120))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 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) y) 0)
(/.f64 (sin.f64 y) y)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)
(/.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 0 (/.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 (sin.f64 y) y))
(-.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)
(/.f64 1 (/.f64 (sin.f64 y) y))
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (sin.f64 y) y)))) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) 1))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (/.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) 1) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
0.2b
(/.f64 1 (/.f64 (sin.f64 y) y))
✓15.4b
(*.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
✓15.7b
(*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))
Compiler

Compiled 138 to 51 computations (63% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite146.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1076×rational.json-simplify-55
760×rational.json-5
758×exponential.json-3
758×rational.json-1
758×rational.json-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013166
111766
241328
3165428
4697128
Stop Event
1×node limit
Counts
2 → 18
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))
(*.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (/.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) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(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) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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 (neg.f64 (/.f64 (sin.f64 y) y)))))))

simplify166.0ms (1%)

Algorithm
1×egg-herbie
Rules
1234×rational.json-simplify-47
1074×rational.json-simplify-79
978×rational.json-simplify-2
696×rational.json-simplify-1
584×rational.json-simplify-42
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057652
1113652
2209652
3535652
41291652
53198652
65916652
Stop Event
1×node limit
Counts
42 → 39
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 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 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.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 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (/.f64 1 (/.f64 (sin.f64 y) y)))
(-.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))
(pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (neg.f64 (/.f64 (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 7/360 (pow.f64 y 4))))
(+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 1 (*.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 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))) (*.f64 31/15120 (pow.f64 y 6))))
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 7/360 (pow.f64 y 4)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 31/15120 (pow.f64 y 6)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 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 1 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120)))
(+.f64 (+.f64 1 (*.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 1 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120))) (*.f64 (pow.f64 y 6) -1/5040))
(+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 (*.f64 (pow.f64 y 6) -1/5040) 1))
(+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 1 (*.f64 (pow.f64 y 6) -1/5040)))
(+.f64 (+.f64 1 (*.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 4) 1/120) (+.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/6)) (*.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 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)
(/.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 0 (/.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 (sin.f64 y) y))
(-.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 0)
(/.f64 1 (/.f64 (sin.f64 y) y))
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.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) y) 0)
(/.f64 (sin.f64 y) y)
(-.f64 0 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
0.2b
(/.f64 1 (/.f64 (sin.f64 y) y))
✓27.3b
(*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
27.3b
(*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
Compiler

Compiled 341 to 50 computations (85.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite153.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
992×rational.json-simplify-55
840×rational.json-simplify-43
756×rational.json-5
754×exponential.json-3
754×rational.json-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016215
1145215
249711
3198511
4746611
Stop Event
1×node limit
Counts
1 → 7
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) 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) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(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) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))))

simplify212.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1634×rational.json-simplify-79
1168×rational.json-simplify-111
1094×rational.json-simplify-76
984×rational.json-simplify-2
836×rational.json-simplify-104
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031277
155277
2101277
3246277
4974277
52171277
64924277
77044277
Stop Event
1×node limit
Counts
19 → 16
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) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
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 1 (*.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 (*.f64 -1/6 (pow.f64 y 2))) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.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 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)

eval653.0ms (4%)

Compiler

Compiled 37018 to 10968 computations (70.4% saved)

prune906.0ms (5.5%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New8027809
Fresh000
Picked101
Done268
Total80513818
Error
0.1b
Counts
818 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓34.1b
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
27.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
▶30.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
✓15.5b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
✓30.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
▶44.9b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2))))
▶38.0b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2))))
✓15.4b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
▶16.1b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
16.9b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
▶16.9b
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
✓33.3b
(*.f64 (cosh.f64 x) 1)
Compiler

Compiled 599 to 284 computations (52.6% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
✓0.2b
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
15.4b
(*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
✓15.4b
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
Compiler

Compiled 111 to 18 computations (83.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite413.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1198×rational.json-simplify-49
992×rational.json-simplify-47
696×rational.json-5
694×exponential.json-3
694×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012130
1108130
2367130
31416130
46268130
Stop Event
1×node limit
Counts
2 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (/.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))))

simplify277.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
920×rational.json-simplify-111
808×rational.json-simplify-50
774×rational.json-simplify-55
658×rational.json-simplify-41
632×rational.json-simplify-42
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0791815
11681815
23311815
39381815
433331815
572591815
Stop Event
1×node limit
Counts
47 → 51
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 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 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 0)
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(-.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 0)
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(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 1)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))))
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(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 1)
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(*.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) 1))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (/.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))
(pow.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 1)
(neg.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (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 -1/6 (pow.f64 y 2)) (+.f64 1 (*.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 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) 1))
(+.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 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 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 1 (*.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)
1
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(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))))
(+.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 0)
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(+.f64 0 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(-.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 0)
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(-.f64 0 (neg.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))) 1)
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(*.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 1)
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) 1))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (/.f64 (/.f64 1 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(pow.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) 1)
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))
(neg.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y)))))

localize259.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 y (sin.f64 y))
0.3b
(pow.f64 (sin.f64 y) 2)
14.8b
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
✓15.4b
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
Compiler

Compiled 57 to 28 computations (50.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite129.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
694×rational.json-simplify-47
678×rational.json-simplify-54
590×rational.json-5
588×exponential.json-3
588×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
19439
231839
3119939
4498639
Stop Event
1×node limit
Counts
1 → 9
Calls
Call 1
Inputs
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))))

simplify369.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1062×rational.json-simplify-111
846×rational.json-simplify-104
780×rational.json-simplify-2
634×rational.json-simplify-79
630×rational.json-simplify-76
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042551
182551
2162551
3421551
41524551
53873551
65991551
77955551
Stop Event
1×node limit
Counts
21 → 22
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 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(+.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(-.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
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 1 (*.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 -1/6 (pow.f64 y 2)) (+.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 1 (*.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 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)
(+.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(+.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(-.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(neg.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))

localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (sin.f64 y) 2)
✓3.2b
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1)
✓15.1b
(/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2))
✓15.4b
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2)))
Compiler

Compiled 112 to 73 computations (34.8% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2)))
0.0ms
y
@inf
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2)))
0.0ms
y
@-inf
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2)))
0.0ms
y
@0
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1)
0.0ms
y
@0
(/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2))

rewrite264.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
924×rational.json-simplify-47
768×rational.json-simplify-1
766×rational.json-5
764×exponential.json-3
764×rational.json-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018115
116279
247779
3162079
4656079
Stop Event
1×node limit
Counts
3 → 46
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2)))
(/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2))
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (sin.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 1 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 -1 (neg.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (sin.f64 y)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)))))))

simplify273.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
750×rational.json-simplify-1
730×rational.json-simplify-44
692×rational.json-simplify-58
636×rational.json-simplify-47
636×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241700
12551700
24951700
313921700
441061700
570071700
Stop Event
1×node limit
Counts
82 → 79
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 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2))))
(+.f64 (*.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(+.f64 0 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(+.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(-.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(pow.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) 1)
(*.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 -1 (pow.f64 (sin.f64 y) 2)))
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(+.f64 -1 (+.f64 1 (pow.f64 (sin.f64 y) 2)))
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
(+.f64 (+.f64 1 (pow.f64 (sin.f64 y) 2)) -1)
(+.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 2)) 1)
(*.f64 1 (pow.f64 (sin.f64 y) 2))
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) 1)
(*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 1 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 -1 (neg.f64 (pow.f64 (sin.f64 y) 2))))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (sin.f64 y)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)))
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 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 1 (*.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)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) -1/3))
(+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)))
(+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 1 (*.f64 (pow.f64 y 4) 2/45)))
(+.f64 (*.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)) (*.f64 (pow.f64 y 6) -1/315)))
(+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)) (+.f64 (*.f64 (pow.f64 y 6) -1/315) 1))
(+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 (+.f64 1 (*.f64 (pow.f64 y 4) 2/45)) (*.f64 (pow.f64 y 6) -1/315)))
(+.f64 (*.f64 (pow.f64 y 4) 2/45) (+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 1 (*.f64 (pow.f64 y 6) -1/315))))
(+.f64 (+.f64 1 (*.f64 (pow.f64 y 4) 2/45)) (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 6) -1/315)))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (pow.f64 y 2) (*.f64 (pow.f64 y 4) -1/3))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 (pow.f64 y 4) -1/3) (+.f64 (pow.f64 y 2) (*.f64 (pow.f64 y 6) 2/45)))
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 y 6) 2/45) (*.f64 (pow.f64 y 4) -1/3)))
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 y 4) -1/3) (*.f64 (pow.f64 y 6) 2/45)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (*.f64 (pow.f64 y 6) 2/45) (+.f64 (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8))) (*.f64 (pow.f64 y 4) -1/3)))
(+.f64 (*.f64 (pow.f64 y 6) 2/45) (+.f64 (*.f64 (pow.f64 y 4) -1/3) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (*.f64 (pow.f64 y 4) -1/3) (+.f64 (*.f64 (pow.f64 y 6) 2/45) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (*.f64 (pow.f64 y 4) -1/3) (+.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 y 6) 2/45) (*.f64 -1/315 (pow.f64 y 8)))))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(+.f64 0 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(+.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(-.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) 1)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(pow.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(-.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(+.f64 1 (+.f64 -1 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(+.f64 -1 (+.f64 1 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
(pow.f64 (sin.f64 y) 2)
(+.f64 (+.f64 1 (pow.f64 (sin.f64 y) 2)) -1)
(pow.f64 (sin.f64 y) 2)
(+.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 2)) 1)
(pow.f64 (sin.f64 y) 2)
(*.f64 1 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 1 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) 1))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (/.f64 -1 (neg.f64 (pow.f64 (sin.f64 y) 2))))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(pow.f64 (sin.f64 y) 2)
(*.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (sin.f64 y)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2)))
(pow.f64 (sin.f64 y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
0.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
✓15.4b
(*.f64 (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
✓15.7b
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
Compiler

Compiled 112 to 23 computations (79.5% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite167.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1118×rational.json-simplify-55
814×rational.json-5
812×exponential.json-3
812×rational.json-1
812×rational.json-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013157
111781
241381
3163281
4731881
Stop Event
1×node limit
Counts
3 → 56
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(*.f64 (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
Outputs
((#(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 y (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 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(sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (fabs.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 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(sin.f64 y)) (/.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 fabs.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))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.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))) (fabs.f64 (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))))))

simplify194.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1334×rational.json-simplify-55
1298×rational.json-simplify-79
1238×rational.json-simplify-49
1176×rational.json-simplify-2
1134×rational.json-simplify-104
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632244
13442244
25772244
326522244
455492244
Stop Event
1×node limit
Counts
92 → 87
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 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 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.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)
1
(+.f64 1 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 1/15 (pow.f64 y 4))))
(+.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 (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 (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 (sin.f64 y)) 0)
(+.f64 0 (/.f64 y (sin.f64 y)))
(-.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(+.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)
(+.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(-.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)
(+.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 0)
(+.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(-.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 0)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 1)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.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 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(fabs.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))))))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (fabs.f64 (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.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 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(fabs.f64 (*.f64 (neg.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)))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 y (sin.f64 y))))
(fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (fabs.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(fabs.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y))))
(fabs.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (neg.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (fabs.f64 (sin.f64 y)))))
(fabs.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(fabs.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))) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(fabs.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))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 y (sin.f64 y))))))
(fabs.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))) (fabs.f64 (/.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 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) 2))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (fabs.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))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (fabs.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 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 1 (+.f64 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))) (*.f64 31/15120 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 7/360 (pow.f64 y 4)) (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 7/360 (pow.f64 y 4)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 31/15120 (pow.f64 y 6)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 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 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 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 (*.f64 (pow.f64 y 6) -1/5040) 1))
(+.f64 (*.f64 (pow.f64 y 4) 1/120) (+.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/6)) (*.f64 (pow.f64 y 6) -1/5040)))
(+.f64 (*.f64 (pow.f64 y 4) 1/120) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.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)
1
(+.f64 1 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) 1/3))
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 1/15 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) 1/3) (*.f64 (pow.f64 y 4) 1/15)))
(+.f64 (*.f64 (pow.f64 y 2) 1/3) (+.f64 1 (*.f64 (pow.f64 y 4) 1/15)))
(+.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 (pow.f64 y 2) 1/3) (+.f64 (*.f64 (pow.f64 y 4) 1/15) (*.f64 (pow.f64 y 6) 2/189))))
(+.f64 (*.f64 (pow.f64 y 2) 1/3) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/15) (*.f64 (pow.f64 y 6) 2/189))))
(/.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 (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 (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(+.f64 0 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(-.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(+.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)
(*.f64 (/.f64 (sin.f64 y) 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 0 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 0)
(*.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)
(*.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) 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)))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) 1)
(*.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y)) (/.f64 y (sin.f64 y))) 0)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(+.f64 0 (*.f64 (/.f64 y (sin.f64 y)) (/.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))) 0)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) 1)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(/.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)))
(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)))
(fabs.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 (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 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.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 (*.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 (neg.f64 (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 (neg.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.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 (/.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 (sin.f64 y)) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (fabs.f64 (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 y (sin.f64 y)) (fabs.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 (fabs.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 (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 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.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 (neg.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 (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 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.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 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (/.f64 y (fabs.f64 (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 (fabs.f64 (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 y (fabs.f64 (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (/.f64 y (fabs.f64 (sin.f64 y))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.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 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.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 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.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 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 y (fabs.f64 (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(fabs.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (/.f64 (/.f64 y (sin.f64 y)) (fabs.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 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.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 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.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 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.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 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.f64 (/.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 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.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 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (*.f64 (fabs.f64 (/.f64 y (sin.f64 y))) 2))))
(fabs.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (*.f64 2 (fabs.f64 (/.f64 y (sin.f64 y)))))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (fabs.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 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))) (fabs.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 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (neg.f64 (fabs.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
✓14.8b
(/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2))
✓15.4b
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2)))
✓21.8b
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))
Compiler

Compiled 130 to 64 computations (50.8% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
0.0ms
y
@inf
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
0.0ms
y
@0
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
0.0ms
y
@0
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))
0.0ms
y
@0
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2)))

rewrite106.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
958×rational.json-simplify-55
926×rational.json-5
924×exponential.json-3
924×rational.json-1
924×rational.json-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017174
115196
251396
3188796
Stop Event
1×node limit
Counts
4 → 36
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2)))
(/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 1 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2)) (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)))))))

simplify197.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
930×rational.json-simplify-79
812×rational.json-simplify-50
788×rational.json-simplify-80
732×rational.json-simplify-111
510×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151784
12281784
24501784
312081784
431651784
559281784
Stop Event
1×node limit
Counts
84 → 86
Calls
Call 1
Inputs
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
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 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2))))
(+.f64 (*.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(+.f64 1/3 (/.f64 1 (pow.f64 y 2)))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 1/15 (pow.f64 y 2))))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (*.f64 2/189 (pow.f64 y 4)) (*.f64 1/15 (pow.f64 y 2)))))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(-.f64 (pow.f64 (sin.f64 y) 2) 0)
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1)
(+.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(+.f64 0 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(-.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(pow.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(+.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(*.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(+.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 0)
(+.f64 0 (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(-.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 0)
(*.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 1)
(*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) 1))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2))
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2)) (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2)))
(/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 1)
(/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)))
Outputs
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 4)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (pow.f64 y 2) (*.f64 2/45 (pow.f64 y 6))))
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (*.f64 -1/3 (pow.f64 y 4))))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/315 (pow.f64 y 8)) (*.f64 2/45 (pow.f64 y 6)))))
(+.f64 (pow.f64 y 2) (+.f64 (+.f64 (*.f64 2/45 (pow.f64 y 6)) (*.f64 -1/315 (pow.f64 y 8))) (*.f64 -1/3 (pow.f64 y 4))))
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (*.f64 -1/315 (pow.f64 y 8)))))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
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 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 1 (+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120)) (*.f64 (pow.f64 y 6) -1/5040)))
(+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 (*.f64 (pow.f64 y 6) -1/5040) 1))
(+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 1 (*.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 (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 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) -1/3))
(+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)))
(+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 (*.f64 (pow.f64 y 4) 2/45) 1))
(+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 1 (*.f64 (pow.f64 y 4) 2/45)))
(+.f64 (*.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 4) 2/45)) (*.f64 (pow.f64 y 6) -1/315)))
(+.f64 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 (*.f64 (pow.f64 y 4) 2/45) 1)) (*.f64 (pow.f64 y 6) -1/315))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) -1/3) (+.f64 (*.f64 (pow.f64 y 4) 2/45) (*.f64 (pow.f64 y 6) -1/315))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 2/45) (+.f64 (*.f64 (pow.f64 y 2) -1/3) (*.f64 (pow.f64 y 6) -1/315))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(+.f64 1/3 (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) 1/3)
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 1/15 (pow.f64 y 2))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 y 2) 1/15) 1/3))
(+.f64 (*.f64 (pow.f64 y 2) 1/15) (+.f64 (/.f64 1 (pow.f64 y 2)) 1/3))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (pow.f64 y 2) 1/15)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1/3 (*.f64 (pow.f64 y 2) 1/15)))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (*.f64 2/189 (pow.f64 y 4)) (*.f64 1/15 (pow.f64 y 2)))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/15) (*.f64 (pow.f64 y 4) 2/189)) 1/3))
(+.f64 1/3 (+.f64 (*.f64 (pow.f64 y 2) 1/15) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (pow.f64 y 4) 2/189))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (+.f64 1/3 (*.f64 (pow.f64 y 2) 1/15)) (*.f64 (pow.f64 y 4) 2/189)))
(+.f64 (+.f64 1/3 (*.f64 (pow.f64 y 2) 1/15)) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (pow.f64 y 4) 2/189)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1/3 (+.f64 (*.f64 (pow.f64 y 2) 1/15) (*.f64 (pow.f64 y 4) 2/189))))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(/.f64 1 (pow.f64 (sin.f64 y) 2))
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
(pow.f64 (sin.f64 y) 2)
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(-.f64 (pow.f64 (sin.f64 y) 2) 0)
(pow.f64 (sin.f64 y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(pow.f64 (sin.f64 y) 2)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(+.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(+.f64 0 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(-.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 0)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(pow.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 1 (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 0)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) 1))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(+.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 0)
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(+.f64 0 (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(-.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 0)
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(*.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 1)
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(*.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(*.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) 1))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2)) (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))) 2)))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) 1)
(pow.f64 (/.f64 1 (sin.f64 y)) 2)
(/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)))
(pow.f64 (/.f64 1 (sin.f64 y)) 2)

eval450.0ms (2.7%)

Compiler

Compiled 20215 to 7940 computations (60.7% saved)

prune268.0ms (1.6%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New6434647
Fresh112
Picked101
Done1910
Total64614660
Error
0.0b
Counts
660 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓34.1b
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
0.2b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))))))
✓30.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
44.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2))))
38.0b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2))))
✓15.5b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
✓30.8b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
✓15.4b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
31.9b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
✓16.1b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
16.9b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
✓16.9b
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
✓33.3b
(*.f64 (cosh.f64 x) 1)
Compiler

Compiled 329 to 178 computations (45.9% saved)

regimes100.0ms (0.6%)

Accuracy

Total -63.2b remaining (-47551.3%)

Threshold costs -63.2b (-47551.3%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) 1)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (sin.f64 y) 2))) 1) (pow.f64 y 2))))
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (sin.f64 y))))))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 2) (pow.f64 (/.f64 1 (sin.f64 y)) 2)) (pow.f64 y 2))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 1 (*.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

21.0ms
x
20.0ms
y
19.0ms
(/.f64 (sin.f64 y) y)
18.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
5.0ms
(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 625 to 197 computations (68.5% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) 1)
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) 1)
Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness0.0ms (0%)

end32.0ms (0.2%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

Profiling

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