Details

Time bar (total: 20.7s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample8.5s (41%)

Results
5.5s2055×body2048valid
2.4s3990×body1024valid
412.0ms1393×body512valid
166.0ms813×body256valid
6.0ms5×body4096valid
Bogosity

preprocess670.0ms (3.2%)

Algorithm
2×egg-herbie
Rules
2186×rational.json-simplify-35
2014×rational.json-simplify-45
1898×rational.json-simplify-2
1606×rational.json-simplify-1
806×rational.json-simplify-51
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
12042
23742
36342
412342
523842
658542
7152142
8300042
9399042
10470742
11581242
12633742
13668142
14668142
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify553.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4274×rational.json-simplify-35
1482×rational.json-simplify-1
1144×rational.json-simplify-2
764×rational.json-simplify-42
696×rational.json-simplify-26
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11421
22621
34421
48821
517421
642321
7107921
8217821
9282021
10340921
11473121
12553721
13587521
14610121
15631821
16631821
17663821
18667221
19667221
20688921
21710621
22732321
23754021
24775721
25797421
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

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
38.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶38.5b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.9b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓4.1b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms
x
@0
(cos.f64 (+.f64 x eps))
0.0ms
eps
@0
(cos.f64 (+.f64 x eps))
0.0ms
eps
@0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms
x
@0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

rewrite119.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1528×rational.json-1
1184×exponential.json-3
1184×rational.json-2
1184×rational.json-4
1184×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
16132
214732
333532
470732
5170332
6357132
7586432
8788032
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) (*.f64 (cos.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 x eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) (/.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))

simplify173.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1718×rational.json-simplify-35
1288×rational.json-simplify-2
1110×rational.json-simplify-1
868×rational.json-simplify-26
852×rational.json-simplify-45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01672385
13742327
29062327
322832259
440402259
553722259
665942259
774322259
Stop Event
1×node limit
Counts
105 → 138
Calls
Call 1
Inputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) 0)
(+.f64 0 (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) (*.f64 (cos.f64 (+.f64 x eps)) 1/2))
(-.f64 (cos.f64 (+.f64 x eps)) 0)
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (cos.f64 (+.f64 x eps)))
(*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 1/2))
(*.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 1/2)
(*.f64 4 (/.f64 (cos.f64 (+.f64 x eps)) 4))
(*.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) 1/4)
(*.f64 1/2 (*.f64 (cos.f64 (+.f64 x eps)) 2))
(*.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) 2)
(*.f64 1/4 (*.f64 (cos.f64 (+.f64 x eps)) 4))
(*.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) 4)
(/.f64 (cos.f64 (+.f64 x eps)) 1)
(/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 2)
(/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) 4)
(/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8)))) 64)
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(+.f64 -1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
(+.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 1/2)
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(*.f64 4 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))
(*.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) (/.f64 (cos.f64 x) 4)))
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))
(*.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)
(/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
(/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4) -4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4)) -8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)))) 64)
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (cos.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))) (cos.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (sin.f64 eps) (neg.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (sin.f64 (neg.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (-.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) -1))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) 1/24))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) 0)
(cos.f64 (+.f64 eps x))
(+.f64 0 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 eps x))
(+.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) (*.f64 (cos.f64 (+.f64 x eps)) 1/2))
(cos.f64 (+.f64 eps x))
(-.f64 (cos.f64 (+.f64 x eps)) 0)
(cos.f64 (+.f64 eps x))
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(*.f64 1 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 eps x))
(*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 1/2))
(cos.f64 (+.f64 eps x))
(*.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 1/2)
(cos.f64 (+.f64 eps x))
(*.f64 4 (/.f64 (cos.f64 (+.f64 x eps)) 4))
(cos.f64 (+.f64 eps x))
(*.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) 1/4)
(cos.f64 (+.f64 eps x))
(*.f64 1/2 (*.f64 (cos.f64 (+.f64 x eps)) 2))
(cos.f64 (+.f64 eps x))
(*.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1/2) 2)
(cos.f64 (+.f64 eps x))
(*.f64 1/4 (*.f64 (cos.f64 (+.f64 x eps)) 4))
(cos.f64 (+.f64 eps x))
(*.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) 4)
(cos.f64 (+.f64 eps x))
(/.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) 2)
(cos.f64 (+.f64 eps x))
(/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) 4)
(cos.f64 (+.f64 eps x))
(/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 8) 8)
(cos.f64 (+.f64 eps x))
(/.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8)) 16)
(cos.f64 (+.f64 eps x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8))) 32)
(cos.f64 (+.f64 eps x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 8)))) 64)
(cos.f64 (+.f64 eps x))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 -1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 1/2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 4 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) (/.f64 (cos.f64 x) 4)))
(*.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 eps x)) 4) (/.f64 (cos.f64 x) 4)))
(*.f64 4 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) 1/4) (/.f64 (cos.f64 x) 4)))
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 1/4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1/2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1/4 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8) 8)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) 16)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4) -4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) 32)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4)) -8)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)))) 64)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

eval30.0ms (0.1%)

Compiler

Compiled 2145 to 1031 computations (51.9% saved)

prune35.0ms (0.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New12315138
Fresh000
Picked011
Done000
Total12316139
Error
14.1b
Counts
139 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶40.2b
(-.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
40.3b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
39.7b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
✓38.5b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶55.9b
(-.f64 (cos.f64 x) (cos.f64 x))
38.0b
(-.f64 (cos.f64 eps) (cos.f64 x))
▶38.3b
(-.f64 (cos.f64 eps) 1)
36.5b
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
▶38.5b
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
33.4b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
▶32.8b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
39.5b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
40.0b
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
40.2b
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
38.6b
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
37.4b
(*.f64 (sin.f64 x) (neg.f64 eps))
Compiler

Compiled 519 to 380 computations (26.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
✓0.0b
(*.f64 (pow.f64 eps 2) -1/2)
✓0.1b
(*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))
✓0.1b
(*.f64 (sin.f64 x) (neg.f64 eps))
Compiler

Compiled 47 to 25 computations (46.8% saved)

series8.0ms (0%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))
1.0ms
eps
@0
(*.f64 (sin.f64 x) (neg.f64 eps))
1.0ms
x
@-inf
(*.f64 (sin.f64 x) (neg.f64 eps))
1.0ms
x
@inf
(*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))
1.0ms
eps
@inf
(*.f64 (sin.f64 x) (neg.f64 eps))

rewrite115.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1868×rational.json-1
1352×rational.json-simplify-35
1092×exponential.json-3
1092×rational.json-2
1092×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01594
110894
224594
351894
4108694
5270794
6528494
7769494
Stop Event
1×node limit
Counts
4 → 65
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))
(*.f64 (pow.f64 eps 2) -1/2)
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 eps -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 eps -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 eps eps)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) eps))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/4)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 2) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 eps 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 eps 2) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 eps 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 eps 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 eps 2) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)))))

simplify222.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1828×rational.json-simplify-35
1304×rational.json-simplify-53
1242×rational.json-simplify-2
956×rational.json-simplify-41
790×rational.json-simplify-42
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01863875
14503831
29973777
324923777
445033777
551503777
658363777
765233777
876593777
Stop Event
1×node limit
Counts
149 → 113
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/5040 (*.f64 eps (pow.f64 x 7))))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 2) (pow.f64 x 6))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps)))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))
(-.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(-.f64 0 (*.f64 (sin.f64 x) eps))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps -2)) 2)
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps -4)) 4)
(/.f64 (*.f64 (sin.f64 x) eps) -1)
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4))) 8)
(/.f64 (*.f64 (sin.f64 x) (+.f64 eps eps)) -2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 eps -4)))))) 64)
(pow.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(neg.f64 (*.f64 (sin.f64 x) eps))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) 0)
(+.f64 0 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/4)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/4)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) 0)
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) 1)
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))) 2)
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2)) 4)
(/.f64 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -2)))))) 64)
(pow.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) 1)
(neg.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (*.f64 (pow.f64 eps 2) -1/2) 0)
(+.f64 0 (*.f64 (pow.f64 eps 2) -1/2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 2) -1/4))
(-.f64 (*.f64 (pow.f64 eps 2) -1/2) 0)
(-.f64 0 (*.f64 (pow.f64 eps 2) 1/2))
(/.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)
(/.f64 (neg.f64 (pow.f64 eps 2)) 2)
(/.f64 (*.f64 (pow.f64 eps 2) -2) 4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)) 8)
(/.f64 (*.f64 (pow.f64 eps 2) 1/2) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2))))) 64)
(pow.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)
(neg.f64 (*.f64 (pow.f64 eps 2) 1/2))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 0)
(*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2))
(*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(*.f64 1 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(*.f64 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))
(*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(/.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(/.f64 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)
(pow.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
Outputs
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps (*.f64 (pow.f64 x 5) -1/120))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/5040 (*.f64 eps (pow.f64 x 7))))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 5) -1/120)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps (*.f64 (pow.f64 x 7) 1/5040)))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 eps (*.f64 -1/120 (pow.f64 x 5))) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps (*.f64 1/5040 (pow.f64 x 7))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7)))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
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(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)))) 32)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -2))))) 64)
(*.f64 -1/2 (pow.f64 eps 2))
(pow.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(neg.f64 (*.f64 (pow.f64 eps 2) 1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 0)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2))
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 1 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 1/2)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 4 (/.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 1/4)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2) 2)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 2)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)) 8)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))) 16)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(pow.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.7b
(-.f64 (cos.f64 eps) 1)
Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(-.f64 (cos.f64 eps) 1)
0.0ms
eps
@-inf
(-.f64 (cos.f64 eps) 1)
0.0ms
eps
@inf
(-.f64 (cos.f64 eps) 1)

rewrite125.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1818×rational.json-simplify-35
1524×rational.json-1
1524×rational.json-2
1524×rational.json-3
1114×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
15711
214011
326511
452711
5116411
6274111
7473711
8577211
9756211
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2) (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))))

simplify295.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1634×rational.json-simplify-2
1474×rational.json-simplify-51
1450×rational.json-simplify-35
1126×rational.json-simplify-1
888×rational.json-simplify-38
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075446
1155446
2361446
31044446
41805446
52124446
62237446
72356446
82509446
92703446
103675446
114075446
124560446
134807446
145014446
155215446
165844446
176189446
186771446
Stop Event
1×node limit
Counts
30 → 35
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (cos.f64 eps))
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2) (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) -1) 2))
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) -1) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))))) 256)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))) (*.f64 1/40320 (pow.f64 eps 8))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2) (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2))
(+.f64 (cos.f64 eps) -1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)
(+.f64 (cos.f64 eps) -1)
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) -1) 4))
(+.f64 (cos.f64 eps) -1)
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 1/2) 2)
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2) 2)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) 128)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) 8)))))) 256)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)

localize5.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x)))
✓0.8b
(-.f64 1 (cos.f64 x))
✓3.3b
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
4.1b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 39 to 17 computations (56.4% saved)

series2.0ms (0%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 1 (cos.f64 x))
0.0ms
x
@0
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
0.0ms
x
@0
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x)))
0.0ms
x
@-inf
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x)))
0.0ms
eps
@-inf
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x)))

rewrite104.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1410×exponential.json-3
1410×rational.json-1
1410×rational.json-2
1410×rational.json-4
1410×rational.json-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01371
19871
221565
346063
499063
5251463
6454763
7620263
Stop Event
1×node limit
Counts
3 → 76
Calls
Call 1
Inputs
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
(-.f64 1 (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)))))

simplify215.0ms (1%)

Algorithm
1×egg-herbie
Rules
2236×rational.json-simplify-1
1550×rational.json-simplify-35
1464×rational.json-simplify-2
1200×rational.json-simplify-51
982×rational.json-simplify-41
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02183208
14923150
211623150
324183074
443943074
548913074
657973074
762573074
866193074
970103074
Stop Event
1×node limit
Counts
128 → 168
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
1
(+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 0)
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 1/2)
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2))
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))))) 64)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))
(+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) -1)
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) -4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) -8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)))) 4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) 64)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))))) 8)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 0)
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))))) 64)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (neg.f64 (sin.f64 eps)))))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 (neg.f64 eps))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (-.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) -1)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))))))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
(+.f64 -1 (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
(+.f64 -1 (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)))) (*.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 8)))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)))))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
1
(+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 1 (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 1 (*.f64 eps (sin.f64 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 1 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (-.f64 1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
(+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 0)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 1/2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 1/4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1/2) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 2) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4) 4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)) 8)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))) 16)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4)))) 32)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 4))))) 64)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2)))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 x) -2)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (+.f64 (cos.f64 x) -2)) -1)
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) 2)) (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) 2)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2))
(-.f64 1 (cos.f64 x))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(*.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) -2)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) 8)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) -4)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) 16)
(-.f64 1 (cos.f64 x))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) -8)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))) 32)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)))) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) 64)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))))) 8)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 0)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 1/2)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 1/4)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1/2) 2)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 2) 2)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4) 4)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)) 8)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))) 16)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4)))) 32)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 4))))) 64)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
✓0.1b
(*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))
✓0.1b
(*.f64 x (sin.f64 (neg.f64 eps)))
✓1.0b
(-.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
Compiler

Compiled 81 to 34 computations (58% saved)

series9.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))
1.0ms
eps
@inf
(-.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
1.0ms
eps
@-inf
(-.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
1.0ms
x
@inf
(-.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
1.0ms
x
@0
(*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))

rewrite209.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1710×rational.json-1
1710×rational.json-2
1710×rational.json-3
1166×rational.json-simplify-35
1018×exponential.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018154
1132154
2316146
3751146
41786146
54277146
67088146
Stop Event
1×node limit
Counts
4 → 85
Calls
Call 1
Inputs
(-.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(*.f64 x (sin.f64 (neg.f64 eps)))
(*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (*.f64 x -1/2)) (*.f64 (sin.f64 eps) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (sin.f64 eps) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (sin.f64 eps) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2)))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1)))))

simplify238.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1740×rational.json-simplify-35
1258×rational.json-simplify-51
1202×rational.json-simplify-1
1196×rational.json-simplify-48
1112×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02567581
15917559
212717517
330117447
457707447
572827447
Stop Event
1×node limit
Counts
181 → 203
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
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(pow.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1)
(neg.f64 (*.f64 x (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) 0)
(+.f64 0 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/4)))
(-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) 0)
(/.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) 1)
(/.f64 (neg.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2))) 2)
(/.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2)))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2)))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -2))))) 32)
(pow.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) 1)
(neg.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 0)
(*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1/2))
(*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1)
(*.f64 1 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(*.f64 (*.f64 2 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))
(*.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1/2) 2)
(/.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1)
(/.f64 (*.f64 2 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4)))) 32)
(pow.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1)
Outputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(+.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (-.f64 (*.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(+.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (-.f64 (*.f64 eps (neg.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 eps))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 (-.f64 1 (*.f64 x eps)) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 (-.f64 1 (cos.f64 x)) (*.f64 x eps)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(+.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)))) (-.f64 (*.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(+.f64 (*.f64 eps (neg.f64 x)) (-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)))) (cos.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 eps)))))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (*.f64 x eps))) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(+.f64 (+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2))) (*.f64 1/6 (*.f64 x (pow.f64 eps 3))))) (-.f64 (*.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(+.f64 (*.f64 eps (neg.f64 x)) (-.f64 (+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2))) (*.f64 x (*.f64 (pow.f64 eps 3) 1/6)))) (cos.f64 x)))
(+.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))) (-.f64 (*.f64 x (neg.f64 eps)) (cos.f64 x))))
(+.f64 1 (+.f64 (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)) (cos.f64 x)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2))) (-.f64 (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 (neg.f64 eps)) x))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) 1)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps)))) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (*.f64 x (neg.f64 (sin.f64 eps))))) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 -1/24 (pow.f64 x 4))))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (sin.f64 (neg.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))) (-.f64 (cos.f64 eps) (cos.f64 x)))
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(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(*.f64 4 (/.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(*.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4) 1/4)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(*.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1/2) 2)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(/.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(/.f64 (*.f64 2 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) 2)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4) 4)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4)) 8)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))) 16)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 4)))) 32)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(pow.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 1)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 eps)))

eval327.0ms (1.6%)

Compiler

Compiled 11610 to 6685 computations (42.4% saved)

prune170.0ms (0.8%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New56116577
Fresh4610
Picked101
Done235
Total56825593
Error
14.1b
Counts
593 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
38.4b
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
40.3b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
39.7b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
✓38.5b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
38.0b
(-.f64 (cos.f64 eps) (cos.f64 x))
✓38.3b
(-.f64 (cos.f64 eps) 1)
▶36.7b
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 x (neg.f64 (sin.f64 eps))))
▶48.0b
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
38.5b
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))) -1)
40.2b
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 1/2 (pow.f64 x 2))) -1)
38.0b
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
40.2b
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
57.6b
(+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
✓32.8b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
▶38.4b
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
47.8b
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
51.6b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))) (*.f64 1/40320 (pow.f64 eps 8))))
51.7b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
39.5b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
40.0b
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
▶55.9b
(+.f64 1 -1)
38.6b
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
37.4b
(*.f64 (sin.f64 x) (neg.f64 eps))
51.2b
(*.f64 -1/2 (pow.f64 eps 2))
▶57.8b
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
Compiler

Compiled 715 to 551 computations (22.9% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
✓0.0b
(*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
✓0.1b
(*.f64 x (neg.f64 (sin.f64 eps)))
✓1.0b
(-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))
Compiler

Compiled 78 to 46 computations (41% saved)

series62.0ms (0.3%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
56.0ms
eps
@-inf
(*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
1.0ms
x
@0
(*.f64 x (neg.f64 (sin.f64 eps)))
1.0ms
x
@inf
(-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))
0.0ms
eps
@inf
(-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))
0.0ms
eps
@0
(-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))

rewrite96.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1314×rational.json-1
1314×rational.json-2
1314×rational.json-3
1308×exponential.json-3
1308×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018102
1133102
2286102
3618102
41322102
53271102
66311102
Stop Event
1×node limit
Counts
4 → 81
Calls
Call 1
Inputs
(-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1/2) (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 2)) (-.f64 1 (/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4) (*.f64 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) (*.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 eps) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x (sin.f64 eps))) (*.f64 -1/2 (*.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (sin.f64 eps) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (sin.f64 eps) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4) (/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)))))

simplify141.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1696×rational.json-simplify-35
1032×rational.json-simplify-2
1010×rational.json-simplify-41
966×rational.json-simplify-45
954×rational.json-simplify-51
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02245043
15175007
211324935
324664815
452344815
566844815
Stop Event
1×node limit
Counts
165 → 165
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 eps 7) x)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))))))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 0)
(+.f64 0 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(+.f64 -1 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))))
(+.f64 -2 (-.f64 1 (+.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) -1)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(+.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) -1)
(+.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1/2) (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1/2))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 2)) (-.f64 1 (/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) 2)))
(*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1/2))
(*.f64 2 (-.f64 (/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4) (*.f64 (cos.f64 x) 1/2)))
(*.f64 1 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))
(*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)
(*.f64 -1 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(*.f64 (*.f64 2 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 1/2)
(*.f64 4 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4))
(*.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) -1)
(*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 2 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))))
(*.f64 1/2 (-.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) (*.f64 2 (cos.f64 x))))
(*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4))
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4) 4)
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)
(/.f64 (*.f64 2 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x))) 2)
(/.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))) -1)
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4)) 8)
(/.f64 (*.f64 2 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) -2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))) -4)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 4)))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))))) 4)
(pow.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) 1)
(neg.f64 (-.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 0)
(+.f64 0 (*.f64 (sin.f64 eps) (neg.f64 x)))
(+.f64 -1 (-.f64 1 (*.f64 x (sin.f64 eps))))
(+.f64 (*.f64 -1/2 (*.f64 x (sin.f64 eps))) (*.f64 -1/2 (*.f64 x (sin.f64 eps))))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 0)
(-.f64 0 (*.f64 x (sin.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1)
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) -2)) 2)
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) -4)) 4)
(/.f64 (*.f64 x (sin.f64 eps)) -1)
(/.f64 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))))) 32)
(pow.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1)
(neg.f64 (*.f64 x (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 0)
(+.f64 0 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(+.f64 (/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4) (/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 0)
(/.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1)
(/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 2)
(/.f64 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))) 4)
(/.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))))) 32)
(pow.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1)
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 0)
(*.f64 2 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 4))
(*.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(*.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 1/2)
(*.f64 4 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 8))
(*.f64 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))) 1/4)
(*.f64 1/2 (+.f64 2 (neg.f64 (pow.f64 x 2))))
(*.f64 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 4) 2)
(*.f64 1/4 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))
(*.f64 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 8) 4)
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4)
(/.f64 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))))) 32)
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
Outputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (cos.f64 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 (*.f64 -1/2 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 x 2))) (cos.f64 x)))
(-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))))) (cos.f64 x))
(+.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))) (-.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x)))
(+.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 x 2)))) (-.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x)))
(-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))))) (cos.f64 x))
(-.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))) (cos.f64 x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (+.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 x 2)))) (-.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (*.f64 -1/720 (pow.f64 eps 6))) (cos.f64 x))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4)))) (cos.f64 x)))
(+.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (cos.f64 x)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (-.f64 (*.f64 -1/24 (pow.f64 x 4)) 1))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) -1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))) (cos.f64 eps))) -1)
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))) 1)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) -1))))
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (*.f64 -1/2 (cos.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (*.f64 -1/2 (cos.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 x (pow.f64 eps 3))))
(+.f64 (neg.f64 (*.f64 x eps)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 x (neg.f64 eps)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))
(*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 1/6 (*.f64 x (pow.f64 eps 3))) (*.f64 -1/120 (*.f64 x (pow.f64 eps 5)))))
(+.f64 (*.f64 x (*.f64 1/6 (pow.f64 eps 3))) (+.f64 (*.f64 -1/120 (*.f64 x (pow.f64 eps 5))) (neg.f64 (*.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (+.f64 (*.f64 x (*.f64 1/6 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 5) (*.f64 x -1/120))))
(+.f64 (*.f64 x (neg.f64 eps)) (*.f64 x (+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 eps 7) x)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))))
(+.f64 (*.f64 1/5040 (*.f64 x (pow.f64 eps 7))) (+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 1/6 (*.f64 x (pow.f64 eps 3))) (*.f64 -1/120 (*.f64 x (pow.f64 eps 5))))))
(+.f64 (neg.f64 (*.f64 x eps)) (+.f64 (+.f64 (*.f64 x (*.f64 1/6 (pow.f64 eps 3))) (*.f64 -1/120 (*.f64 x (pow.f64 eps 5)))) (*.f64 x (*.f64 (pow.f64 eps 7) 1/5040))))
(+.f64 (*.f64 x (neg.f64 eps)) (+.f64 (*.f64 x (*.f64 1/5040 (pow.f64 eps 7))) (+.f64 (*.f64 x (*.f64 1/6 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 5) (*.f64 x -1/120)))))
(+.f64 (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 x (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 -1/120 (pow.f64 eps 5)))))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
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(+.f64 0 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4) (/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4))
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 0)
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(/.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1)
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(/.f64 (*.f64 (cos.f64 eps) (+.f64 2 (neg.f64 (pow.f64 x 2)))) 2)
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(/.f64 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))) 4)
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(/.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))) 8)
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))))) 16)
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))))) 32)
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(pow.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1)
(*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) -1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 0)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 2 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 4))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 1/2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 4 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 8))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))) 1/4)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1/2 (+.f64 2 (neg.f64 (pow.f64 x 2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 4) 2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1/4 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 8) 4)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))) 4)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))) 8)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2)))))) 16)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 2 (neg.f64 (pow.f64 x 2))))))) 32)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))

localize8.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (pow.f64 x 2) (cos.f64 eps))
Compiler

Compiled 25 to 15 computations (40% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(*.f64 (pow.f64 x 2) (cos.f64 eps))
0.0ms
x
@0
(*.f64 (pow.f64 x 2) (cos.f64 eps))
0.0ms
x
@inf
(*.f64 (pow.f64 x 2) (cos.f64 eps))
0.0ms
eps
@inf
(*.f64 (pow.f64 x 2) (cos.f64 eps))
0.0ms
x
@-inf
(*.f64 (pow.f64 x 2) (cos.f64 eps))

rewrite123.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1780×rational.json-simplify-35
1576×rational.json-1
1576×rational.json-2
1086×exponential.json-3
1086×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
15917
213017
326817
452017
5118817
6244917
7401717
8541717
9758017
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 2) (cos.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1/2) (*.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 eps) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 eps) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1)))))

simplify197.0ms (1%)

Algorithm
1×egg-herbie
Rules
2098×rational.json-simplify-2
1814×rational.json-simplify-35
1410×rational.json-simplify-53
1262×rational.json-simplify-43
1112×exponential.json-simplify-26
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065768
1160768
2325768
3721750
42933750
54835750
65423750
75601750
85765750
95948750
106941750
Stop Event
1×node limit
Counts
38 → 29
Calls
Call 1
Inputs
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (pow.f64 x 2))))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(+.f64 (*.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1/2) (*.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1/2))
(-.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 0)
(/.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) 2)
(/.f64 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 eps) 4)) 4)
(/.f64 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 eps) 8)) 8)
(/.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)) 16)
(/.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))))) 128)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)))))) 256)
(pow.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1)
Outputs
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)) (+.f64 (pow.f64 x 2) (*.f64 1/24 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 2) 1/24)) (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)) (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 2) 1/24))))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 2) (pow.f64 eps 4))) (+.f64 (pow.f64 x 2) (*.f64 -1/720 (*.f64 (pow.f64 x 2) (pow.f64 eps 6))))))
(+.f64 (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 2) 1/24))) (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 6) -1/720))))
(+.f64 (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 2) 1/24))) (*.f64 (pow.f64 x 2) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))))
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 0)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(+.f64 0 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1/2) (*.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1/2))
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 0)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) 2)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 eps) 4)) 4)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 eps) 8)) 8)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)) 16)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))) 32)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)))) 64)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))))) 128)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 16)))))) 256)
(*.f64 (cos.f64 eps) (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 2) (cos.f64 eps)) 1)
(*.f64 (cos.f64 eps) (pow.f64 x 2))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
✓0.9b
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
Compiler

Compiled 28 to 18 computations (35.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
0.0ms
eps
@-inf
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
0.0ms
eps
@0
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
0.0ms
eps
@0
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
0.0ms
eps
@inf
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)

rewrite124.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1912×rational.json-simplify-35
1278×exponential.json-3
1278×rational.json-1
1278×rational.json-2
1278×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01050
17150
215128
331328
462328
5146128
6291628
7432528
8541428
9688828
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (cos.f64 eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 -1 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -1 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 -1 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (cos.f64 eps)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (cos.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (cos.f64 eps) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) -2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)))))

simplify348.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2016×rational.json-simplify-35
1386×rational.json-simplify-1
1264×rational.json-simplify-2
1242×rational.json-simplify-38
734×rational.json-simplify-51
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201170
12581170
25111170
314861170
429321170
536901170
638531170
739961170
841751170
944271170
1046431170
1149731170
1254901170
1357841170
1460511170
1562371170
1666001170
1768301170
1873021170
Stop Event
1×node limit
Counts
70 → 69
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
-1/2
(-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/2)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/48 (pow.f64 eps 4))) 1/2)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (+.f64 (*.f64 1/48 (pow.f64 eps 4)) (*.f64 -1/1440 (pow.f64 eps 6)))) 1/2)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (+.f64 -1 (cos.f64 eps)) 0)
(-.f64 (cos.f64 eps) 1)
(*.f64 1/2 (+.f64 (*.f64 2 (cos.f64 eps)) -2))
(*.f64 (+.f64 -1 (cos.f64 eps)) 1)
(*.f64 1 (+.f64 -1 (cos.f64 eps)))
(*.f64 2 (*.f64 1/2 (+.f64 -1 (cos.f64 eps))))
(*.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 -1 (cos.f64 eps)) 4))
(*.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)
(*.f64 1/4 (*.f64 (+.f64 -1 (cos.f64 eps)) 4))
(*.f64 1/4 (+.f64 (*.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))))
(*.f64 (*.f64 1/2 (+.f64 -1 (cos.f64 eps))) 2)
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(*.f64 (+.f64 (*.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))) 1/4)
(/.f64 (+.f64 -1 (cos.f64 eps)) 1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)))))) 256)
(pow.f64 (+.f64 -1 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(-.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)))
(*.f64 2 (/.f64 (+.f64 (cos.f64 eps) -2) 4))
(*.f64 (+.f64 (cos.f64 eps) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -2) 8))
(*.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 1/4)
(*.f64 1/4 (*.f64 2 (+.f64 (cos.f64 eps) -2)))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 8) 4)
(/.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(/.f64 (+.f64 (cos.f64 eps) -2) 2)
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -2) 4) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)))))) 256)
(pow.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
-1/2
(-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/2)
(-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/48 (pow.f64 eps 4))) 1/2)
(+.f64 (*.f64 (pow.f64 eps 4) 1/48) (-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2))
(+.f64 (-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2) (*.f64 (pow.f64 eps 4) 1/48))
(+.f64 (*.f64 (pow.f64 eps 2) -1/4) (-.f64 (*.f64 (pow.f64 eps 4) 1/48) 1/2))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (+.f64 (*.f64 1/48 (pow.f64 eps 4)) (*.f64 -1/1440 (pow.f64 eps 6)))) 1/2)
(+.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/48) (*.f64 (pow.f64 eps 6) -1/1440)) (-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2))
(+.f64 (-.f64 (*.f64 (pow.f64 eps 2) -1/4) 1/2) (+.f64 (*.f64 (pow.f64 eps 4) 1/48) (*.f64 (pow.f64 eps 6) -1/1440)))
(+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 4) 1/48) (-.f64 (*.f64 (pow.f64 eps 6) -1/1440) 1/2)))
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (+.f64 -1 (cos.f64 eps)) 0)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1/2 (+.f64 (*.f64 2 (cos.f64 eps)) -2))
(*.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 -1 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(*.f64 2 (*.f64 1/2 (+.f64 -1 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 1/2)
(*.f64 1/2 (+.f64 (*.f64 2 (cos.f64 eps)) -2))
(*.f64 4 (/.f64 (+.f64 -1 (cos.f64 eps)) 4))
(+.f64 (cos.f64 eps) -1)
(*.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 1/4)
(+.f64 (cos.f64 eps) -1)
(*.f64 1/4 (*.f64 (+.f64 -1 (cos.f64 eps)) 4))
(+.f64 (cos.f64 eps) -1)
(*.f64 1/4 (+.f64 (*.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (*.f64 1/2 (+.f64 -1 (cos.f64 eps))) 2)
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (*.f64 2 (cos.f64 eps)) (*.f64 2 (+.f64 (cos.f64 eps) -2))) 1/4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 (*.f64 2 (cos.f64 eps)) -2) 2)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 4) 4)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 eps)) 8) 8)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)) 16)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))) 32)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)))) 64)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8))))) 128)
(+.f64 (cos.f64 eps) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 eps)) 8)))))) 256)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 -1 (cos.f64 eps)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (*.f64 1/2 (cos.f64 eps)) 1)
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1)
(-.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 0)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 1 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 2 (/.f64 (+.f64 (cos.f64 eps) -2) 4))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (+.f64 (cos.f64 eps) -2) 1/2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) -2) 8))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 1/4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 1/4 (*.f64 2 (+.f64 (cos.f64 eps) -2)))
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 4) 2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -2) 8) 4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (+.f64 (cos.f64 eps) -2) 2)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 2 (+.f64 (cos.f64 eps) -2)) 4)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -2) 4) 8)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)) 16)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))) 32)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)))) 64)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4))))) 128)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) -2) 4)))))) 256)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))
(pow.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -2)) 1)
(*.f64 1/2 (+.f64 (cos.f64 eps) -2))

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
✓3.8b
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
✓5.3b
(*.f64 eps (pow.f64 x 3))
✓7.3b
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
Compiler

Compiled 80 to 48 computations (40% saved)

series6.0ms (0%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
1.0ms
eps
@inf
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
1.0ms
x
@0
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
0.0ms
x
@inf
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
0.0ms
eps
@-inf
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))

rewrite118.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1724×rational.json-1
1724×rational.json-2
1724×rational.json-3
1622×rational.json-simplify-35
1208×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020130
1138118
2284118
3614118
41280118
53379118
65671118
77351118
Stop Event
1×node limit
Counts
4 → 63
Calls
Call 1
Inputs
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (pow.f64 x 3))
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 eps (/.f64 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps eps) (*.f64 1/2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps eps) (/.f64 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (*.f64 2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 eps (*.f64 2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (/.f64 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/2)) (*.f64 (pow.f64 x 3) (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 eps (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (pow.f64 x 3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (pow.f64 x 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/12)) (*.f64 eps (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 1)))))

simplify194.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
2298×rational.json-simplify-51
1868×rational.json-simplify-35
1712×rational.json-simplify-2
1062×rational.json-simplify-1
844×rational.json-simplify-43
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01653747
13903721
29053715
325733715
444103715
552843715
656173715
758373715
860503715
Stop Event
1×node limit
Counts
111 → 98
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(-.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 0)
(*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 1)
(*.f64 2 (*.f64 eps (/.f64 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))) 2)))
(*.f64 1 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 (+.f64 eps eps) (*.f64 1/2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 (+.f64 eps eps) (/.f64 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))) 2))
(*.f64 (*.f64 eps (*.f64 2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))) 1/2)
(*.f64 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))) eps)
(*.f64 4 (/.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4))
(*.f64 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4) 1/4)
(*.f64 (*.f64 2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 eps 1/2))
(*.f64 1/2 (*.f64 eps (*.f64 2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))
(*.f64 (*.f64 eps (/.f64 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))) 2)) 2)
(/.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 1)
(/.f64 (*.f64 eps (*.f64 2 (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))) 2)
(/.f64 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 4))))) 64)
(pow.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) 1)
(+.f64 (*.f64 eps (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 eps (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/2)) (*.f64 (pow.f64 x 3) (*.f64 eps 1/2)))
(-.f64 (*.f64 eps (pow.f64 x 3)) 0)
(/.f64 (*.f64 eps (pow.f64 x 3)) 1)
(/.f64 (*.f64 (*.f64 eps (pow.f64 x 3)) 2) 2)
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 4)) 4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) (*.f64 eps 4)))))) 64)
(pow.f64 (*.f64 eps (pow.f64 x 3)) 1)
(-.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 0)
(*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2))
(*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(*.f64 1 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(*.f64 (*.f64 2 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))))
(*.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1/2) 2)
(/.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(/.f64 (*.f64 2 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 4))))) 64)
(pow.f64 (+.f64 (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) 1)
(+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 0)
(+.f64 0 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/12)) (*.f64 eps (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 0)
(/.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 1)
(/.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/3)) 2)
(/.f64 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3) 4)
(/.f64 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3))))) 64)
(pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 1)
Outputs
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 eps (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) -1))
(neg.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (neg.f64 eps))
(*.f64 eps (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 eps (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) -1))
(neg.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (neg.f64 eps))
(*.f64 eps (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 eps (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) -1))
(neg.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (neg.f64 eps))
(*.f64 eps (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 eps (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) -1))
(neg.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (neg.f64 eps))
(*.f64 eps (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
(*.f64 eps (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
(*.f64 eps (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) -1)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (neg.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (neg.f64 eps)) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) -1)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (neg.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (neg.f64 eps)) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) -1)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (neg.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (neg.f64 eps)) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
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(/.f64 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)) 8)
(*.f64 eps (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3))) 16)
(*.f64 eps (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)))) 32)
(*.f64 eps (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (pow.f64 x 3)) 2/3))))) 64)
(*.f64 eps (*.f64 1/6 (pow.f64 x 3)))
(pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 1)
(*.f64 eps (*.f64 1/6 (pow.f64 x 3)))

eval147.0ms (0.7%)

Compiler

Compiled 8075 to 5280 computations (34.6% saved)

prune83.0ms (0.4%)

Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New3574361
Fresh11617
Picked011
Done167
Total35927386
Error
14.0b
Counts
386 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
38.4b
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
40.3b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
▶39.7b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
✓38.5b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶38.0b
(-.f64 (cos.f64 eps) (cos.f64 x))
✓38.3b
(-.f64 (cos.f64 eps) 1)
▶36.4b
(+.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1) (*.f64 x (neg.f64 (sin.f64 eps))))
✓36.7b
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 x (neg.f64 (sin.f64 eps))))
✓48.0b
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
38.5b
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))) -1)
40.2b
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 1/2 (pow.f64 x 2))) -1)
38.0b
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
57.6b
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 -1/2 (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps))))
40.2b
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
✓38.4b
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
52.1b
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
47.8b
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
51.6b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))) (*.f64 1/40320 (pow.f64 eps 8))))
51.7b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
39.5b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
40.0b
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
✓55.9b
(+.f64 1 -1)
▶38.6b
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
51.1b
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
37.4b
(*.f64 (sin.f64 x) (neg.f64 eps))
▶51.2b
(*.f64 -1/2 (pow.f64 eps 2))
✓57.8b
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
Compiler

Compiled 709 to 547 computations (22.8% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (neg.f64 (sin.f64 eps)))
✓0.5b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
✓0.7b
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
✓6.0b
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
Compiler

Compiled 92 to 54 computations (41.3% saved)

series4.0ms (0%)

Counts
3 → 23
Calls

15 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
0.0ms
x
@0
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
0.0ms
eps
@-inf
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
0.0ms
eps
@0
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))

rewrite119.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1360×exponential.json-3
1360×rational.json-1
1360×rational.json-2
1360×rational.json-4
1360×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01691
111691
223291
344891
495291
5237491
6440791
7600591
Stop Event
1×node limit
Counts
3 → 58
Calls
Call 1
Inputs
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))) (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 1)))))

simplify308.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1826×rational.json-simplify-35
1652×rational.json-simplify-2
1166×rational.json-simplify-53
1014×rational.json-simplify-51
846×exponential.json-simplify-26
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01622979
13472979
27432979
320962943
439772943
543352943
645752943
748392943
852092943
956842943
1072272943
1178852943
Stop Event
1×node limit
Counts
81 → 104
Calls
Call 1
Inputs
(*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/80640 (*.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6)))))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 -1/48 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 -1/48 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/720)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 -1/48 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 eps 8) (+.f64 1/40320 (*.f64 -1/80640 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/720)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))
(-.f64 (cos.f64 eps) 1)
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))
(-.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 0)
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 1)
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps))))) 2)
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4)) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4))))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 (pow.f64 x 2) 4)))))) 64)
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 1)
(-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 0)
(*.f64 1/2 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 1)
(*.f64 2 (*.f64 1/2 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))
(*.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 4 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4))
(*.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 1/2)
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4) 1/4)
(*.f64 (*.f64 1/2 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) 2)
(*.f64 1/4 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4) 4)
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 1)
(/.f64 (+.f64 1/2 (+.f64 1/2 (neg.f64 (cos.f64 eps)))) 2)
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 4))))) 64)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) 1)
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) -1)
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 0)
(+.f64 0 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)))
(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))
(+.f64 (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1) (cos.f64 eps))
(+.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))) (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))))
(*.f64 1/2 (+.f64 (*.f64 2 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) -2))
(*.f64 2 (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))))
(*.f64 1 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)))
(*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4))
(*.f64 (+.f64 (*.f64 2 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) -2) 1/2)
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4) 1/4)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4))
(*.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1))) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 1)
(/.f64 (+.f64 (*.f64 2 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 4))))) 64)
(pow.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 1)
Outputs
(*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 (*.f64 eps x) 2))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (*.f64 -1/48 (*.f64 (pow.f64 x 2) (pow.f64 eps 4))))
(+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))))
(+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (*.f64 -1/48 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)))) (*.f64 1/1440 (*.f64 (pow.f64 x 2) (pow.f64 eps 6))))
(+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 x 2) (pow.f64 eps 6))) (*.f64 -1/48 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)))))
(+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (+.f64 (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 2) -1/48)) (*.f64 (pow.f64 x 2) (*.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (*.f64 -1/80640 (*.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (*.f64 1/1440 (*.f64 (pow.f64 x 2) (pow.f64 eps 6))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (*.f64 -1/48 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)))) (*.f64 -1/80640 (*.f64 (pow.f64 x 2) (pow.f64 eps 8)))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 x 2) (pow.f64 eps 4))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (*.f64 1/1440 (*.f64 (pow.f64 x 2) (pow.f64 eps 6)))) (*.f64 -1/80640 (*.f64 (pow.f64 x 2) (pow.f64 eps 8)))))
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 1/1440 (pow.f64 eps 6))) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (+.f64 (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 2) -1/48)) (*.f64 (pow.f64 eps 8) (*.f64 (pow.f64 x 2) -1/80640)))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4)))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/1440 (pow.f64 eps 6)) (*.f64 -1/80640 (pow.f64 eps 8)))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 1/1440 (pow.f64 eps 6)) (*.f64 -1/80640 (pow.f64 eps 8)))))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 1/1440 (pow.f64 eps 6)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 -1/80640 (pow.f64 eps 8)))))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 -1/48 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))
(+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 -1/48 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/720)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (pow.f64 x 2) 1/1440) 1/720))))
(+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))) (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (pow.f64 x 2) 1/1440) 1/720))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 -1/48 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 eps 8) (+.f64 1/40320 (*.f64 -1/80640 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/720)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (pow.f64 x 2) 1/1440) 1/720)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (*.f64 (pow.f64 eps 8) (+.f64 1/40320 (*.f64 (pow.f64 x 2) -1/80640))))))
(+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (+.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (pow.f64 x 2) 1/1440) 1/720)) (*.f64 (pow.f64 eps 8) (+.f64 1/40320 (*.f64 (pow.f64 x 2) -1/80640)))) (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48)))))
(+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (pow.f64 x 2) 1/1440) 1/720)) (*.f64 (pow.f64 eps 8) (+.f64 1/40320 (*.f64 (pow.f64 x 2) -1/80640))))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 1/24 (*.f64 (pow.f64 x 2) -1/48))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (pow.f64 x 2) 1/1440) 1/720)) (*.f64 (pow.f64 eps 8) (+.f64 1/40320 (*.f64 (pow.f64 x 2) -1/80640))))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 0)
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 0 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(-.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 0)
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
(*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))
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(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) -1))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2)) (+.f64 (cos.f64 eps) -1))
(pow.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) -1)) 1)
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) -1))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (pow.f64 x 2) 1/2)) (+.f64 (cos.f64 eps) -1))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -1/2 (pow.f64 eps 2))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite320.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1992×rational.json-simplify-2
1632×rational.json-simplify-35
1580×rational.json-simplify-1
1152×exponential.json-3
1152×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
14513
29513
317913
431813
568213
6165013
7284813
8355513
9434313
10539313
11604613
12620313
13645313
14731113
15756013
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 eps 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 eps 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 eps 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 eps 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 eps 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) -4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) 8) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 eps 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))))) -256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))))) -512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 eps 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))))))

simplify221.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
2928×rational.json-simplify-45
1802×rational.json-simplify-2
1792×rational.json-simplify-35
956×rational.json-simplify-1
724×rational.json-simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110611
1290611
2533611
31300611
42911611
53687611
64231611
75259611
85552611
95849611
105971611
116120611
126245611
Stop Event
1×node limit
Counts
47 → 48
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))))
(+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 2) -1/4))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2))))
(+.f64 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)) -1)
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2))) -2)
(+.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))) -1)
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)
(-.f64 0 (*.f64 (pow.f64 eps 2) 1/2))
(-.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2)))
(-.f64 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)) 1)
(/.f64 (pow.f64 eps 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(/.f64 (*.f64 2 (pow.f64 eps 2)) -4)
(/.f64 (neg.f64 (pow.f64 eps 2)) 2)
(/.f64 (*.f64 (pow.f64 eps 2) 4) -8)
(/.f64 (*.f64 (pow.f64 eps 2) -2) 4)
(/.f64 (*.f64 (pow.f64 eps 2) -4) 8)
(/.f64 (*.f64 (pow.f64 eps 2) 8) -16)
(/.f64 (*.f64 (pow.f64 eps 2) 1/2) -1)
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)) -32)
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))) -64)
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))) -128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))))) -256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)))))) 256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))))) -512)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))))) 256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))))))) 512)
(/.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))) -1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(neg.f64 (*.f64 (pow.f64 eps 2) 1/2))
(neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
Outputs
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 2) -1/4))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)) -1)
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2))) -2)
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))) -1)
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 0 (*.f64 (pow.f64 eps 2) 1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2)))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 eps 2) 1/2)))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2)) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (pow.f64 eps 2) -2)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (pow.f64 eps 2)) -4)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (neg.f64 (pow.f64 eps 2)) 2)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 (pow.f64 eps 2) 4) -8)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 (pow.f64 eps 2) -2) 4)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 (pow.f64 eps 2) -4) 8)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 (pow.f64 eps 2) 8) -16)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 (pow.f64 eps 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)) -32)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)) 16)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))) 32)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))) -64)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 2) 8)) 16)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))) 32)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8))) 32)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))) -128)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)))) 64)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))))) 128)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))))) 128)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8))))) -256)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4)))))) 256)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))))) -512)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 eps 2) 8))))) 128)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) 8)))))) 256)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) -4))))))) 512)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))) -1)
(*.f64 -1/2 (pow.f64 eps 2))
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(neg.f64 (*.f64 (pow.f64 eps 2) 1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
(*.f64 -1/2 (pow.f64 eps 2))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.0b
(-.f64 (cos.f64 eps) (cos.f64 x))
Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(-.f64 (cos.f64 eps) (cos.f64 x))
0.0ms
x
@0
(-.f64 (cos.f64 eps) (cos.f64 x))
0.0ms
eps
@inf
(-.f64 (cos.f64 eps) (cos.f64 x))
0.0ms
eps
@-inf
(-.f64 (cos.f64 eps) (cos.f64 x))
0.0ms
x
@inf
(-.f64 (cos.f64 eps) (cos.f64 x))

rewrite96.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1226×exponential.json-3
1226×rational.json-1
1226×rational.json-2
1226×rational.json-4
1226×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
15415
213615
331015
464315
5151415
6341715
7616715
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (cos.f64 eps) 4) (/.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 eps))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 x) (cos.f64 eps)))))))

simplify210.0ms (1%)

Algorithm
1×egg-herbie
Rules
2036×rational.json-simplify-35
2002×rational.json-simplify-1
1938×rational.json-simplify-51
930×rational.json-simplify-48
844×rational.json-simplify-2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0114983
1256983
2536983
31360983
42931847
53900847
64960847
75358847
85641847
95880847
107316847
117736847
Stop Event
1×node limit
Counts
43 → 71
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 0)
(+.f64 0 (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))
(*.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2) 1/2)
(*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)
(*.f64 4 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))
(*.f64 4 (-.f64 (/.f64 (cos.f64 eps) 4) (/.f64 (cos.f64 x) 4)))
(*.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2))
(*.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))
(*.f64 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2) 2)
(/.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8) 8)
(/.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 eps))) -2)
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4) -4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4)) -8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)))) 64)
(pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 eps)))
Outputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(+.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 1 (cos.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(+.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(+.f64 (+.f64 1 (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x)))
(+.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x)))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/24 (pow.f64 eps 4))) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (+.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(+.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (-.f64 (*.f64 -1/24 (pow.f64 x 4)) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) -1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (-.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) -1)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 0)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 0 (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 -1 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2) 1/2)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 4 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 4 (-.f64 (/.f64 (cos.f64 eps) 4) (/.f64 (cos.f64 x) 4)))
(*.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 1/4)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 1/2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1/2) 2)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 1/4 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -2) 2)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 4) 4)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8) 8)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 eps))) -2)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)) 16)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4) -4)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8))) 32)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) 4)) -8)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 8)))) 64)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (cos.f64 x) 2)
✓0.4b
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2))
✓1.8b
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
4.1b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 39 to 17 computations (56.4% saved)

series2.0ms (0%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
0.0ms
x
@0
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2))
0.0ms
x
@-inf
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2))
0.0ms
eps
@0
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2))
0.0ms
x
@inf
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2))

rewrite104.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1604×rational.json-1
1604×rational.json-2
1604×rational.json-4
1604×rational.json-3
1320×rational.json-simplify-35
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01371
18871
219071
341471
488259
5224459
6469759
7697059
Stop Event
1×node limit
Counts
3 → 99
Calls
Call 1
Inputs
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) (/.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (-.f64 (+.f64 -2 (-.f64 2 (cos.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (-.f64 2 (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1/2) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (cos.f64 (+.f64 x eps))) (-.f64 4 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (+.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) (/.f64 (+.f64 -2 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (+.f64 -2 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2) (*.f64 (+.f64 -2 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -2 (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 -2 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 -2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -2 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -2 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -2 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (cos.f64 x)) 1)))))

simplify250.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1564×rational.json-simplify-35
1308×rational.json-simplify-52
1106×rational.json-simplify-51
1030×rational.json-simplify-1
924×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02533945
15423887
212763887
333493811
456133811
571403811
Stop Event
1×node limit
Counts
151 → 190
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))))
(-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
2
(+.f64 2 (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (+.f64 2 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
-1
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) 1)
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)
(-.f64 0 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 1 (-.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(*.f64 (*.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1/2)
(*.f64 4 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))
(*.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) (/.f64 (cos.f64 x) 4)))
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))
(*.f64 1/4 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (cos.f64 x) 4)))
(*.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)
(/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(/.f64 (*.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(/.f64 (*.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4) -4)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 8)))) 64)
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 -2 (-.f64 4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 (+.f64 -2 (-.f64 2 (cos.f64 x))) -2))
(+.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 0)
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)
(+.f64 0 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))))
(+.f64 1 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(+.f64 -1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -3)))
(+.f64 (-.f64 2 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 2))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -3)) -1)
(+.f64 (+.f64 -2 (-.f64 2 (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) 2))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1/2) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1/2))
(+.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(+.f64 (+.f64 -2 (cos.f64 (+.f64 x eps))) (-.f64 4 (cos.f64 x)))
(+.f64 (+.f64 -2 (+.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 2 (cos.f64 x)))
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1/2))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1)
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))))
(*.f64 -1 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 (*.f64 -2 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) 1/2)
(*.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4))
(*.f64 4 (-.f64 (/.f64 (cos.f64 (+.f64 x eps)) 4) (/.f64 (+.f64 -2 (cos.f64 x)) 4)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 -2 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4))
(*.f64 1/4 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (+.f64 -2 (cos.f64 x)) 4)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1)
(/.f64 (*.f64 -2 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) 2)
(/.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8) 8)
(/.f64 (*.f64 2 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) -2)
(/.f64 (*.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 4) -4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 4)) -8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1)
(neg.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 -2 (cos.f64 x))
(+.f64 (cos.f64 x) -2)
(+.f64 (+.f64 -2 (cos.f64 x)) 0)
(+.f64 0 (+.f64 -2 (cos.f64 x)))
(+.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2) (*.f64 (+.f64 -2 (cos.f64 x)) 1/2))
(*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2))
(*.f64 (+.f64 -2 (cos.f64 x)) 1)
(*.f64 1 (+.f64 -2 (cos.f64 x)))
(*.f64 (*.f64 2 (+.f64 -2 (cos.f64 x))) 1/2)
(*.f64 4 (/.f64 (+.f64 -2 (cos.f64 x)) 4))
(*.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 -2 (cos.f64 x))))
(*.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 -2 (cos.f64 x)) 4))
(*.f64 (/.f64 (+.f64 -2 (cos.f64 x)) 4) 4)
(/.f64 (+.f64 -2 (cos.f64 x)) 1)
(/.f64 (*.f64 2 (+.f64 -2 (cos.f64 x))) 2)
(/.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 4) 4)
(/.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8)))) 64)
(pow.f64 (+.f64 -2 (cos.f64 x)) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (neg.f64 (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (sin.f64 eps) (neg.f64 x))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) 1)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (-.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)))) -1)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (+.f64 -1 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) 1/24))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) (-.f64 1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (cos.f64 eps) 1)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (-.f64 1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))))
(+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))))))
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(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8)) 16)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 2 (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 4)) -8)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 2 (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8))) 32)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 2 (cos.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 8)))) 64)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 2 (cos.f64 x)))
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 2 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 2 (cos.f64 x)))
(neg.f64 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 2 (cos.f64 x)))
(+.f64 -2 (cos.f64 x))
(+.f64 (cos.f64 x) -2)
(+.f64 (cos.f64 x) -2)
(+.f64 (+.f64 -2 (cos.f64 x)) 0)
(+.f64 (cos.f64 x) -2)
(+.f64 0 (+.f64 -2 (cos.f64 x)))
(+.f64 (cos.f64 x) -2)
(+.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2) (*.f64 (+.f64 -2 (cos.f64 x)) 1/2))
(+.f64 (cos.f64 x) -2)
(*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2))
(+.f64 (cos.f64 x) -2)
(*.f64 (+.f64 -2 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) -2)
(*.f64 1 (+.f64 -2 (cos.f64 x)))
(+.f64 (cos.f64 x) -2)
(*.f64 (*.f64 2 (+.f64 -2 (cos.f64 x))) 1/2)
(+.f64 (cos.f64 x) -2)
(*.f64 4 (/.f64 (+.f64 -2 (cos.f64 x)) 4))
(+.f64 (cos.f64 x) -2)
(*.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 4) 1/4)
(+.f64 (cos.f64 x) -2)
(*.f64 1/2 (*.f64 2 (+.f64 -2 (cos.f64 x))))
(+.f64 (cos.f64 x) -2)
(*.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 1/2) 2)
(+.f64 (cos.f64 x) -2)
(*.f64 1/4 (*.f64 (+.f64 -2 (cos.f64 x)) 4))
(+.f64 (cos.f64 x) -2)
(*.f64 (/.f64 (+.f64 -2 (cos.f64 x)) 4) 4)
(+.f64 (cos.f64 x) -2)
(/.f64 (+.f64 -2 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) -2)
(/.f64 (*.f64 2 (+.f64 -2 (cos.f64 x))) 2)
(+.f64 (cos.f64 x) -2)
(/.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 4) 4)
(+.f64 (cos.f64 x) -2)
(/.f64 (*.f64 (+.f64 -2 (cos.f64 x)) 8) 8)
(+.f64 (cos.f64 x) -2)
(/.f64 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8)) 16)
(+.f64 (cos.f64 x) -2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8))) 32)
(+.f64 (cos.f64 x) -2)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (cos.f64 x)) 8)))) 64)
(+.f64 (cos.f64 x) -2)
(pow.f64 (+.f64 -2 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) -2)

localize78.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x))
✓0.1b
(*.f64 (sin.f64 (neg.f64 eps)) x)
✓0.8b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
Compiler

Compiled 37 to 9 computations (75.7% saved)

series2.0ms (0%)

Counts
3 → 33
Calls

18 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
0.0ms
eps
@-inf
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
0.0ms
eps
@inf
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
0.0ms
x
@0
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
0.0ms
x
@inf
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))

rewrite94.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1536×exponential.json-3
1536×rational.json-1
1536×rational.json-2
1536×rational.json-4
1536×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01275
19175
223675
355775
4128975
5347075
6671475
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
(*.f64 (sin.f64 (neg.f64 eps)) x)
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (-.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (+.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1/2) (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1/2) (*.f64 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2) (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 x (sin.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))) (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (neg.f64 (sin.f64 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (*.f64 x (*.f64 (sin.f64 eps) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (*.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (sin.f64 eps) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)))))

simplify342.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1834×rational.json-simplify-35
974×rational.json-simplify-1
896×rational.json-simplify-51
760×rational.json-simplify-45
748×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01923060
14313040
210283028
324532976
447032976
557172976
669092976
777822976
Stop Event
1×node limit
Counts
104 → 157
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) 1) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x)) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (sin.f64 (neg.f64 eps)) x))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 -1/24 (pow.f64 x 4))))) 1)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 eps 7) x)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))))
(*.f64 (sin.f64 (*.f64 -1 eps)) x)
(*.f64 (sin.f64 (*.f64 -1 eps)) x)
(*.f64 (sin.f64 (*.f64 -1 eps)) x)
(*.f64 (sin.f64 (*.f64 -1 eps)) x)
1
(+.f64 (*.f64 -1 (*.f64 eps x)) 1)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x))
(cos.f64 eps)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 (sin.f64 (neg.f64 eps)) x)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x)))
(+.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) (neg.f64 (cos.f64 x)))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 0)
(+.f64 0 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))))
(+.f64 -1 (+.f64 1 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x)))))
(+.f64 -1 (+.f64 (+.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 eps)) x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) x))
(+.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x)) (cos.f64 eps))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))
(+.f64 (+.f64 1 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x)))) -1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1/2) (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1/2))
(*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1)
(*.f64 1 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))))
(*.f64 -1 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))
(*.f64 -1 (+.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1/2))
(*.f64 2 (-.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1/2) (*.f64 (cos.f64 x) 1/2)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 2) 1/2)
(*.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))) -1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 2))
(*.f64 1/2 (-.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2) (*.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4) 4)
(*.f64 (+.f64 (-.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 x (sin.f64 eps))) -1)
(/.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 2) 2)
(/.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))) -2)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))) -4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))) 2)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))) (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))))) 4)
(pow.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1)
(neg.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))
(+.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 0)
(+.f64 0 (*.f64 (neg.f64 (sin.f64 eps)) x))
(+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (*.f64 x (*.f64 (sin.f64 eps) -1/2)))
(-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 0)
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 1)
(/.f64 (*.f64 (sin.f64 eps) (*.f64 x -2)) 2)
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) -4)) 4)
(/.f64 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))))) 32)
(pow.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 1)
(neg.f64 (*.f64 x (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 0)
(*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)
(*.f64 1 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))
(*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1/2))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4)))) 32)
(pow.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)
Outputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) 1) (cos.f64 x))
(+.f64 1 (-.f64 (*.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(-.f64 (+.f64 1 (neg.f64 (*.f64 x eps))) (cos.f64 x))
(+.f64 1 (-.f64 (*.f64 x (neg.f64 eps)) (cos.f64 x)))
(-.f64 (-.f64 1 (*.f64 x eps)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(+.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (*.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(+.f64 (neg.f64 (*.f64 x eps)) (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x)))
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 (-.f64 1 (*.f64 x eps)) (cos.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x))))) (cos.f64 x))
(+.f64 (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 x (pow.f64 eps 3))) (*.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (*.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(-.f64 (+.f64 (+.f64 1 (*.f64 1/6 (*.f64 x (pow.f64 eps 3)))) (+.f64 (neg.f64 (*.f64 x eps)) (*.f64 -1/2 (pow.f64 eps 2)))) (cos.f64 x))
(+.f64 (*.f64 x (neg.f64 eps)) (+.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 x 1/6)) (cos.f64 x))))
(+.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (-.f64 (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x)) (cos.f64 x))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x)) (cos.f64 x))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x)) (cos.f64 x))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (*.f64 -1 eps)) x)) (cos.f64 x))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) 1)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (sin.f64 (neg.f64 eps)) x))) 1)
(+.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x (neg.f64 (sin.f64 eps)))) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x (neg.f64 (sin.f64 eps))))))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 -1/24 (pow.f64 x 4))))) 1)
(+.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 x (neg.f64 (sin.f64 eps))))) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 x (neg.f64 (sin.f64 eps)))))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (+.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (-.f64 -1 (*.f64 x (sin.f64 eps))))))
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 (sin.f64 (neg.f64 eps)) x)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 -1 (*.f64 eps x))
(*.f64 -1 (*.f64 x eps))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (*.f64 -1 (*.f64 x eps)) (*.f64 1/6 (*.f64 x (pow.f64 eps 3))))
(+.f64 (neg.f64 (*.f64 x eps)) (*.f64 1/6 (*.f64 x (pow.f64 eps 3))))
(+.f64 (*.f64 x (neg.f64 eps)) (*.f64 (pow.f64 eps 3) (*.f64 x 1/6)))
(*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (+.f64 (*.f64 -1 (*.f64 x eps)) (*.f64 1/6 (*.f64 x (pow.f64 eps 3)))) (*.f64 -1/120 (*.f64 x (pow.f64 eps 5))))
(+.f64 (+.f64 (neg.f64 (*.f64 x eps)) (*.f64 1/6 (*.f64 x (pow.f64 eps 3)))) (*.f64 x (*.f64 (pow.f64 eps 5) -1/120)))
(+.f64 (*.f64 x (neg.f64 eps)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 x 1/6)) (*.f64 (pow.f64 eps 5) (*.f64 x -1/120))))
(+.f64 (*.f64 x (neg.f64 eps)) (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (*.f64 -1/120 (pow.f64 eps 5)))))
(+.f64 (neg.f64 (*.f64 x eps)) (*.f64 x (+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 eps 7) x)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))))
(+.f64 (*.f64 (pow.f64 eps 7) (*.f64 x 1/5040)) (+.f64 (+.f64 (*.f64 -1 (*.f64 x eps)) (*.f64 1/6 (*.f64 x (pow.f64 eps 3)))) (*.f64 -1/120 (*.f64 x (pow.f64 eps 5)))))
(+.f64 (*.f64 x (*.f64 (pow.f64 eps 5) -1/120)) (+.f64 (+.f64 (neg.f64 (*.f64 x eps)) (*.f64 1/6 (*.f64 x (pow.f64 eps 3)))) (*.f64 x (*.f64 1/5040 (pow.f64 eps 7)))))
(+.f64 (*.f64 x (neg.f64 eps)) (+.f64 (*.f64 (pow.f64 eps 7) (*.f64 x 1/5040)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 x 1/6)) (*.f64 (pow.f64 eps 5) (*.f64 x -1/120)))))
(+.f64 (*.f64 x (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 x (+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (neg.f64 eps))))
(+.f64 (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 x (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 -1/120 (pow.f64 eps 5)))))
(*.f64 (sin.f64 (*.f64 -1 eps)) x)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 (sin.f64 (*.f64 -1 eps)) x)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 (sin.f64 (*.f64 -1 eps)) x)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(*.f64 (sin.f64 (*.f64 -1 eps)) x)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
1
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(/.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))) (neg.f64 (*.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))))) 4)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(pow.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) (cos.f64 x))) 1)
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x))))
(+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 0)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 0 (*.f64 (neg.f64 (sin.f64 eps)) x))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (*.f64 x (*.f64 (sin.f64 eps) -1/2)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(-.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 0)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 1)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 x -2)) 2)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) -4)) 4)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))) 8)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) 16)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4)))) (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (sin.f64 eps) -4))))) 32)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(pow.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) 1)
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 0)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 1 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)))
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1/2))
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2) 1/2)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 1/4)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2))
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1/2) 2)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 4)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(/.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 2) 2)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4) 4)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4)) 8)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))) 16)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 4)))) 32)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
(pow.f64 (+.f64 (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) x)) 1)
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))

eval946.0ms (4.6%)

Compiler

Compiled 12033 to 6911 computations (42.6% saved)

prune267.0ms (1.3%)

Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New6587665
Fresh51015
Picked011
Done2911
Total66527692
Error
13.4b
Counts
692 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
40.3b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
✓39.7b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
✓38.5b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓38.0b
(-.f64 (cos.f64 eps) (cos.f64 x))
✓38.3b
(-.f64 (cos.f64 eps) 1)
54.7b
(-.f64 1 (cos.f64 x))
✓36.4b
(+.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1) (*.f64 x (neg.f64 (sin.f64 eps))))
✓36.7b
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 x (neg.f64 (sin.f64 eps))))
40.2b
(+.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))))
✓48.0b
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
38.0b
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
40.2b
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
✓38.4b
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
52.1b
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
47.8b
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
51.6b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))) (*.f64 1/40320 (pow.f64 eps 8))))
51.7b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
39.5b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
40.0b
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
38.2b
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
✓55.9b
(+.f64 1 -1)
38.7b
(+.f64 -2 (-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
38.7b
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
38.7b
(+.f64 -2 (+.f64 (+.f64 -2 (cos.f64 (+.f64 x eps))) (-.f64 4 (cos.f64 x))))
38.4b
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
37.4b
(*.f64 (sin.f64 x) (neg.f64 eps))
✓51.2b
(*.f64 -1/2 (pow.f64 eps 2))
Compiler

Compiled 373 to 288 computations (22.8% saved)

regimes288.0ms (1.4%)

Counts
43 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 -2 (-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 1/2 (pow.f64 x 2))) -1)
(+.f64 -2 (+.f64 (+.f64 -2 (cos.f64 (+.f64 x eps))) (-.f64 4 (cos.f64 x))))
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 -1/2 (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))) -1)
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))) (*.f64 1/40320 (pow.f64 eps 8))))
(-.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (cos.f64 eps) -1))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
Calls

3 calls:

114.0ms
x
80.0ms
eps
78.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
21.2b3x
14.8b3eps
16.1b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 586 to 337 computations (42.5% saved)

bsearch108.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
7.704500178281786e-6
10.189236572835084
71.0ms
-0.03507774878533078
-1.3861729197061151e-8
Results
39.0ms4×body2048valid
30.0ms69×body1024valid
25.0ms187×body256valid
8.0ms28×body512valid
Compiler

Compiled 716 to 568 computations (20.7% saved)

regimes241.0ms (1.2%)

Counts
38 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 -2 (-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 1/2 (pow.f64 x 2))) -1)
(+.f64 -2 (+.f64 (+.f64 -2 (cos.f64 (+.f64 x eps))) (-.f64 4 (cos.f64 x))))
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (*.f64 (sin.f64 (neg.f64 eps)) x) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 -1/2 (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) 2)))) -1)
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))) (*.f64 1/40320 (pow.f64 eps 8))))
(-.f64 (+.f64 (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
Calls

3 calls:

105.0ms
x
102.0ms
eps
23.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
21.3b3x
14.9b3eps
16.1b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 449 to 253 computations (43.7% saved)

bsearch185.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
7.704500178281786e-6
10.189236572835084
144.0ms
-0.03507774878533078
-1.3861729197061151e-8
Results
85.0ms79×body1024valid
77.0ms165×body256valid
10.0ms35×body512valid
9.0ms9×body2048valid
Compiler

Compiled 500 to 388 computations (22.4% saved)

regimes382.0ms (1.8%)

Counts
27 → 4
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 -2 (-.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 1/2 (pow.f64 x 2))) -1)
(+.f64 -2 (+.f64 (+.f64 -2 (cos.f64 (+.f64 x eps))) (-.f64 4 (cos.f64 x))))
(-.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (neg.f64 (+.f64 (cos.f64 x) -2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 eps)) x)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)
Calls

3 calls:

204.0ms
eps
94.0ms
x
78.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
24.0b3x
18.5b4eps
20.8b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 244 to 138 computations (43.4% saved)

bsearch189.0ms (0.9%)

Algorithm
3×binary-search
Steps
TimeLeftRight
39.0ms
9.93410037067632e-22
7.704500178281786e-6
83.0ms
-2.956378853860261e-46
-1.7183654835569466e-47
67.0ms
-0.03507774878533078
-1.3861729197061151e-8
Results
83.0ms94×body1024valid
64.0ms122×body512valid
26.0ms183×body256valid
11.0ms17×body2048valid
Compiler

Compiled 550 to 426 computations (22.5% saved)

regimes167.0ms (0.8%)

Counts
16 → 4
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

77.0ms
x
52.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
34.0ms
eps
Results
ErrorSegmentsBranch
24.0b3x
18.5b4eps
20.8b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 119 to 71 computations (40.3% saved)

bsearch201.0ms (1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
41.0ms
9.93410037067632e-22
7.704500178281786e-6
120.0ms
-2.956378853860261e-46
-1.7183654835569466e-47
39.0ms
-0.03507774878533078
-1.3861729197061151e-8
Results
93.0ms15×body2048valid
42.0ms98×body1024valid
34.0ms131×body512valid
23.0ms172×body256valid
Compiler

Compiled 510 to 386 computations (24.3% saved)

regimes94.0ms (0.5%)

Counts
9 → 4
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

72.0ms
eps
20.0ms
x
Results
ErrorSegmentsBranch
24.0b3x
19.1b4eps
Compiler

Compiled 59 to 43 computations (27.1% saved)

bsearch335.0ms (1.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
90.0ms
9.93410037067632e-22
7.704500178281786e-6
165.0ms
-2.956378853860261e-46
-1.7183654835569466e-47
80.0ms
-0.03507774878533078
-1.3861729197061151e-8
Results
139.0ms19×body2048valid
77.0ms107×body512valid
77.0ms195×body256valid
36.0ms95×body1024valid
Compiler

Compiled 491 to 386 computations (21.4% saved)

regimes132.0ms (0.6%)

Counts
8 → 4
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -2 (+.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (cos.f64 eps) 1/2) -1/2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) -1))
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

112.0ms
eps
15.0ms
x
Results
ErrorSegmentsBranch
24.0b3x
19.1b4eps
Compiler

Compiled 49 to 36 computations (26.5% saved)

bsearch320.0ms (1.5%)

Algorithm
3×binary-search
Steps
TimeLeftRight
141.0ms
9.93410037067632e-22
7.704500178281786e-6
98.0ms
-2.956378853860261e-46
-1.7183654835569466e-47
81.0ms
-0.03507774878533078
-1.3861729197061151e-8
Results
87.0ms86×body1024valid
86.0ms103×body512valid
77.0ms204×body256valid
64.0ms23×body2048valid
Compiler

Compiled 411 to 338 computations (17.8% saved)

regimes69.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

64.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
38.3b1x
33.7b3eps
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch139.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
7.704500178281786e-6
10.189236572835084
95.0ms
-0.03507774878533078
-1.3861729197061151e-8
Results
30.0ms70×body1024valid
21.0ms155×body256valid
17.0ms51×body512valid
8.0ms12×body2048valid
Compiler

Compiled 284 to 244 computations (14.1% saved)

regimes8.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
38.3b1x
38.3b1eps
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes10.0ms (0%)

Accuracy

Total -1.7b remaining (-3%)

Threshold costs -1.7b (-3%)

Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 1 -1)
(-.f64 1 (cos.f64 x))
Outputs
(-.f64 1 (cos.f64 x))
Calls

2 calls:

6.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
54.7b1x
54.7b1eps
Compiler

Compiled 15 to 12 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095702
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -1261007895663739/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1116892707587883/18014398509481984) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)))
(if (<=.f64 eps -1080863910568919/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5584463537939415/18014398509481984) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)))
(if (<=.f64 eps -4796153459164483/73786976294838206464) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -4756536611006611/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8028023020878397/2361183241434822606848) (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -8484632873687469/51422017416287688817342786954917203280710495801049370729644032) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 4722366482869645/1180591620717411303424) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -4422293497800741/51422017416287688817342786954917203280710495801049370729644032) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 6611313076017503/4722366482869645213696) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -1799770609570069/25711008708143844408671393477458601640355247900524685364822016) (*.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 944473296573929/1180591620717411303424) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3504881374004815/18446744073709551616) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))
(-.f64 (cos.f64 eps) 1)
(-.f64 1 (cos.f64 x))
(+.f64 1 -1)
Outputs
(if (<=.f64 eps -1261007895663739/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1116892707587883/18014398509481984) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)))
(if (<=.f64 eps -1080863910568919/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5584463537939415/18014398509481984) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1)))
(if (<=.f64 eps -4796153459164483/73786976294838206464) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -4756536611006611/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 8028023020878397/2361183241434822606848) (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (+.f64 (cos.f64 eps) (-.f64 1 (cos.f64 x))) -1))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -8484632873687469/51422017416287688817342786954917203280710495801049370729644032) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 4722366482869645/1180591620717411303424) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -4422293497800741/51422017416287688817342786954917203280710495801049370729644032) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (if (<=.f64 eps 6611313076017503/4722366482869645213696) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -1799770609570069/25711008708143844408671393477458601640355247900524685364822016) (*.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 944473296573929/1180591620717411303424) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3504881374004815/18446744073709551616) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))
(-.f64 (cos.f64 eps) 1)
(-.f64 1 (cos.f64 x))
(+.f64 1 -1)
0
Compiler

Compiled 277 to 192 computations (30.7% saved)

soundness199.0ms (1%)

Algorithm
1×egg-herbie
Rules
1718×rational.json-simplify-35
1288×rational.json-simplify-2
1110×rational.json-simplify-1
868×rational.json-simplify-26
852×rational.json-simplify-45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01672385
13742327
29062327
322832259
440402259
553722259
665942259
774322259
Stop Event
1×node limit
Compiler

Compiled 386 to 237 computations (38.6% saved)

end236.0ms (1.1%)

Compiler

Compiled 259 to 142 computations (45.2% saved)

Profiling

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