Details

Time bar (total: 25.9s)

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)

sample10.7s (41.4%)

Results
7.8s4015×body1024valid
2.4s2107×body2048valid
409.0ms1356×body512valid
110.0ms777×body256valid
1.0ms1×body4096valid
Bogosity

preprocess214.0ms (0.8%)

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)

simplify550.0ms (2.1%)

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
40.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶40.0b
(-.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
✓1.7b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓6.8b
(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))

rewrite124.0ms (0.5%)

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))))))))

simplify159.0ms (0.6%)

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))

eval129.0ms (0.5%)

Compiler

Compiled 2145 to 1031 computations (51.9% saved)

prune42.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New12612138
Fresh000
Picked011
Done000
Total12613139
Error
16.4b
Counts
139 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
54.8b
(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
✓40.0b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
55.1b
(-.f64 (cos.f64 x) (cos.f64 x))
▶39.1b
(-.f64 (cos.f64 eps) (cos.f64 x))
▶39.4b
(-.f64 (cos.f64 eps) 1)
34.1b
(+.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)))))
33.9b
(+.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))))
▶33.6b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
33.9b
(+.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))))
▶41.3b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
▶40.1b
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
40.1b
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
39.5b
(*.f64 (sin.f64 x) (neg.f64 eps))
Compiler

Compiled 345 to 254 computations (26.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite123.0ms (0.5%)

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 (*.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)
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 (*.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)))))
((#(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))))))

simplify992.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
2054×rational.json-simplify-1
1834×rational.json-simplify-35
1306×rational.json-simplify-53
1238×rational.json-simplify-2
948×rational.json-simplify-41
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01863875
14503831
29933777
324843777
444893777
551393777
658233777
765063777
876113777
979983777
Stop Event
1×node limit
Counts
149 → 112
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 (*.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 -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 (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 (*.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)
(+.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))
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 -1 (*.f64 eps x)) (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (*.f64 1/6 (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 eps (*.f64 (pow.f64 x 3) 1/6)) (*.f64 eps (*.f64 (pow.f64 x 5) -1/120))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 eps (*.f64 1/6 (pow.f64 x 3))) (*.f64 eps (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (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 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 5) -1/120)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)) (*.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 eps (*.f64 1/6 (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))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)))
(*.f64 (pow.f64 eps 2) (+.f64 -1/2 (*.f64 1/4 (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 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 eps x) 2)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 4) -1/48))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 -1/2 (*.f64 1/4 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 2) (*.f64 -1/48 (pow.f64 x 4))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/48 (pow.f64 x 4)) (+.f64 -1/2 (*.f64 1/4 (pow.f64 x 2)))))
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(*.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))))
(+.f64 (*.f64 (pow.f64 eps 2) -1/2) 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 -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 (*.f64 (pow.f64 eps 2) -1/2) 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 (*.f64 (pow.f64 eps 2) -1/2) 1)
(*.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) -2) 4)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) -2)) 8)
(*.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 2 (*.f64 (pow.f64 eps 2) -2))) 16)
(*.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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.8b
(-.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)

rewrite124.0ms (0.5%)

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)))))

simplify299.0ms (1.2%)

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)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.5b
(-.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
x
@inf
(-.f64 (cos.f64 eps) (cos.f64 x))
0.0ms
x
@0
(-.f64 (cos.f64 eps) (cos.f64 x))
0.0ms
eps
@0
(-.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))

rewrite103.0ms (0.4%)

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)))))))

simplify211.0ms (0.8%)

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))

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (sin.f64 eps))
✓2.2b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
Compiler

Compiled 28 to 11 computations (60.7% saved)

series3.0ms (0%)

Counts
2 → 40
Calls

12 calls:

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

rewrite96.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1472×rational.json-1
1472×rational.json-2
1472×rational.json-3
1468×exponential.json-3
1468×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
17738
217338
337238
476538
5185238
6430838
7654738
Stop Event
1×node limit
Counts
2 → 40
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 x (sin.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 1/2) (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 eps) 1/2) (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 2) (*.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x (sin.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (sin.f64 eps)) 1) -1)))) (#(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 x (sin.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 eps)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (+.f64 x x)) 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 (*.f64 x (sin.f64 eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sin.f64 eps)) 1)))))

simplify216.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1640×rational.json-simplify-35
1138×rational.json-simplify-1
1114×rational.json-simplify-2
788×rational.json-simplify-52
778×rational.json-simplify-45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321932
12871924
26861774
316311750
433931750
547041750
654341750
765361750
872881750
979911750
Stop Event
1×node limit
Counts
80 → 91
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) x)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) x)))))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 0)
(-.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 1 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1/2))
(*.f64 2 (+.f64 (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 1/2) (*.f64 (cos.f64 eps) 1/2)))
(*.f64 2 (+.f64 (*.f64 (cos.f64 eps) 1/2) (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 1/2)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2))
(*.f64 1/2 (+.f64 (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 2) (*.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 2)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 4)
(/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (*.f64 x (sin.f64 eps)) 0)
(+.f64 0 (*.f64 x (sin.f64 eps)))
(+.f64 1 (+.f64 (*.f64 x (sin.f64 eps)) -1))
(+.f64 (+.f64 (*.f64 x (sin.f64 eps)) 1) -1)
(+.f64 (*.f64 x (*.f64 (sin.f64 eps) 1/2)) (*.f64 x (*.f64 (sin.f64 eps) 1/2)))
(-.f64 (*.f64 x (sin.f64 eps)) 0)
(-.f64 (+.f64 (*.f64 x (sin.f64 eps)) 1) 1)
(-.f64 (+.f64 (*.f64 x (sin.f64 eps)) -1) -1)
(/.f64 (*.f64 x (sin.f64 eps)) 1)
(/.f64 (*.f64 (sin.f64 eps) (+.f64 x x)) 2)
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) 4)) 4)
(/.f64 (*.f64 (*.f64 x (sin.f64 eps)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8)))) 64)
(pow.f64 (*.f64 x (sin.f64 eps)) 1)
Outputs
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.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)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 x (pow.f64 eps 3))) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (*.f64 (pow.f64 eps 3) 1/6))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))))
(+.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 1/6 (*.f64 x (pow.f64 eps 3))) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (*.f64 (pow.f64 eps 3) 1/6))) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 x (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 x (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 x (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))) (*.f64 1/24 (pow.f64 eps 4))))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(-.f64 -1 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(-.f64 -1 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(-.f64 -1 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(-.f64 -1 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(-.f64 -1 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
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(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
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(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
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(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
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(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))
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(*.f64 x (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))
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(+.f64 (+.f64 (*.f64 eps x) (*.f64 (pow.f64 eps 3) (*.f64 x -1/6))) (*.f64 1/120 (*.f64 x (pow.f64 eps 5))))
(+.f64 (*.f64 (pow.f64 eps 3) (*.f64 x -1/6)) (+.f64 (*.f64 eps x) (*.f64 x (*.f64 (pow.f64 eps 5) 1/120))))
(+.f64 (*.f64 (pow.f64 eps 3) (*.f64 x -1/6)) (*.f64 x (+.f64 eps (*.f64 1/120 (pow.f64 eps 5)))))
(*.f64 x (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
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(+.f64 (*.f64 eps x) (+.f64 (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 x -1/6)) (*.f64 (pow.f64 eps 7) (*.f64 x -1/5040))) (*.f64 1/120 (*.f64 x (pow.f64 eps 5)))))
(+.f64 (*.f64 (pow.f64 eps 3) (*.f64 x -1/6)) (+.f64 (+.f64 (*.f64 eps x) (*.f64 x (*.f64 (pow.f64 eps 7) -1/5040))) (*.f64 x (*.f64 (pow.f64 eps 5) 1/120))))
(+.f64 (*.f64 (pow.f64 eps 3) (*.f64 x -1/6)) (+.f64 (*.f64 x (*.f64 1/120 (pow.f64 eps 5))) (*.f64 x (+.f64 eps (*.f64 -1/5040 (pow.f64 eps 7))))))
(+.f64 (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))) (*.f64 (pow.f64 eps 7) (*.f64 x -1/5040)))
(+.f64 (*.f64 x (*.f64 (pow.f64 eps 3) -1/6)) (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (+.f64 eps (*.f64 -1/5040 (pow.f64 eps 7))))))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 0)
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
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(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) 1)
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(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
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(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 1 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
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(*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1/2))
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(*.f64 2 (+.f64 (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 1/2) (*.f64 (cos.f64 eps) 1/2)))
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(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 2 (+.f64 (*.f64 (cos.f64 eps) 1/2) (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 1/2)))
(+.f64 (neg.f64 (*.f64 x (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 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2) 1/2)
(+.f64 (neg.f64 (*.f64 x (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 4 (/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4))
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
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(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 1/4)
(+.f64 (neg.f64 (*.f64 x (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 1/2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2))
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
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(*.f64 1/2 (+.f64 (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 2) (*.f64 (cos.f64 eps) 2)))
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(*.f64 1/2 (+.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (-.f64 -1 (*.f64 x (sin.f64 eps))) 2)))
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(*.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1/2) 2)
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(*.f64 (/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 4)
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(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(/.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
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(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 2) 2)
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
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(/.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 4) 4)
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
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(/.f64 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8) 8)
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
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(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8)) 16)
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
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(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8))) 32)
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
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(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 8)))) 64)
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(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(pow.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (neg.f64 (*.f64 x (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 x (sin.f64 eps)) 0)
(*.f64 x (sin.f64 eps))
(+.f64 0 (*.f64 x (sin.f64 eps)))
(*.f64 x (sin.f64 eps))
(+.f64 1 (+.f64 (*.f64 x (sin.f64 eps)) -1))
(*.f64 x (sin.f64 eps))
(+.f64 (+.f64 (*.f64 x (sin.f64 eps)) 1) -1)
(*.f64 x (sin.f64 eps))
(+.f64 (*.f64 x (*.f64 (sin.f64 eps) 1/2)) (*.f64 x (*.f64 (sin.f64 eps) 1/2)))
(*.f64 x (sin.f64 eps))
(-.f64 (*.f64 x (sin.f64 eps)) 0)
(*.f64 x (sin.f64 eps))
(-.f64 (+.f64 (*.f64 x (sin.f64 eps)) 1) 1)
(*.f64 x (sin.f64 eps))
(-.f64 (+.f64 (*.f64 x (sin.f64 eps)) -1) -1)
(*.f64 x (sin.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) 1)
(*.f64 x (sin.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (+.f64 x x)) 2)
(*.f64 x (sin.f64 eps))
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) 4)) 4)
(*.f64 x (sin.f64 eps))
(/.f64 (*.f64 (*.f64 x (sin.f64 eps)) 8) 8)
(*.f64 x (sin.f64 eps))
(/.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8)) 16)
(*.f64 x (sin.f64 eps))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8))) 32)
(*.f64 x (sin.f64 eps))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (sin.f64 eps)) 8)))) 64)
(*.f64 x (sin.f64 eps))
(pow.f64 (*.f64 x (sin.f64 eps)) 1)
(*.f64 x (sin.f64 eps))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1)
1.7b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓1.8b
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
6.8b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 42 to 14 computations (66.7% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite116.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1350×exponential.json-3
1350×rational.json-1
1350×rational.json-2
1350×rational.json-4
1350×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
110048
222148
348348
4109148
5244248
6433348
7655148
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) (+.f64 (+.f64 1 (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(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 -1 (+.f64 (cos.f64 x) (-.f64 -1 (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 0 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.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)) -1) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -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 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 1 (cos.f64 x)))))) (#(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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))))) (#(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 (+.f64 x eps)) (cos.f64 x)) 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 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(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 x) (cos.f64 (+.f64 x eps))) -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 (*.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 x) (cos.f64 (+.f64 x eps))) -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)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) -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 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2) -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 (+.f64 x eps)) (cos.f64 x)) -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 (+.f64 x eps)) (cos.f64 x)) -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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) -2)))))) (#(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 (cos.f64 (+.f64 x eps)) (+.f64 1 (cos.f64 x)))))) (#(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 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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (cos.f64 x) (-.f64 -1 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (*.f64 2 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))))) (#(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 -1 (+.f64 1 (-.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 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 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)))) (#(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 1 (-.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 -1 (cos.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) -4)))) (#(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))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))))

simplify179.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1616×rational.json-simplify-35
1060×rational.json-simplify-51
1000×rational.json-simplify-42
938×rational.json-simplify-1
874×rational.json-simplify-49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02223834
14963776
211053776
333243692
459123692
570503692
676533692
Stop Event
1×node limit
Counts
136 → 167
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 (cos.f64 eps) 2)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 2)
(-.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)))) 2)
(-.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))))) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 1))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 1))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 1))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 1))
-1
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) 1)
(-.f64 (+.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))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (+.f64 1 (cos.f64 x)))
(-.f64 1 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (+.f64 1 (cos.f64 x)) -1))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)
(-.f64 -1 (+.f64 (cos.f64 x) (-.f64 -1 (cos.f64 (+.f64 x eps)))))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) -1)
(-.f64 0 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 2 (-.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) -2)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
(-.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(-.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))
(-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 1 (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
(-.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1/2) (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.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 2 (-.f64 (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.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 x) (cos.f64 (+.f64 x eps))) -2) 1/2)
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -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)) 1/2) 2)
(*.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) -2)
(*.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 x) (cos.f64 (+.f64 x eps))) -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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2) -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 (+.f64 x eps)) (cos.f64 x)) -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 (+.f64 x eps)) (cos.f64 x)) -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))))
(-.f64 1 (-.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) -2)))
(-.f64 1 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (cos.f64 x)))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 0)
(-.f64 0 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -1)
(-.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(-.f64 -2 (+.f64 (cos.f64 x) (-.f64 -1 (cos.f64 (+.f64 x eps)))))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2)
(-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2))
(-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 1 (+.f64 1 (cos.f64 x))))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 3)
(-.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (*.f64 2 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 x) -1))
(-.f64 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))))
(*.f64 -1 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.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 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(*.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 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8) 8)
(/.f64 (*.f64 2 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) -2)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) -4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 1)
(neg.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
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 (sin.f64 eps) (neg.f64 x))))
(+.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 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
(+.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 (neg.f64 eps))))))
(+.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 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.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 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (sin.f64 eps) (neg.f64 x))))))
(+.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 -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 (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 (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 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 -1/2 (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 -1 (*.f64 eps (sin.f64 x))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.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 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (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 (sin.f64 x) (*.f64 1/6 (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 (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 (cos.f64 eps) 2)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 2)
(+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) 2))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 eps) 2))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (sin.f64 (neg.f64 eps))) 2))
(+.f64 (cos.f64 eps) (-.f64 -2 (*.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)))) 2)
(+.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) 2))
(+.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))) (-.f64 (cos.f64 eps) 2))
(+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (-.f64 (cos.f64 eps) 2)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (-.f64 -2 (*.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))))) 2)
(+.f64 (+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.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) 2))
(+.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))) (-.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)) 2))
(+.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) 2)))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (-.f64 (cos.f64 eps) 2) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 1))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 1 (cos.f64 x)))
(-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 1))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 1 (cos.f64 x)))
(-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 1))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 1 (cos.f64 x)))
(-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (+.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 1))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 1 (cos.f64 x)))
(-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))))
(-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (+.f64 1 (cos.f64 x)))
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(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (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 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8) 8)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 2 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) -2)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8)) 16)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8))) 32)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) -4)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 8)))) 64)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (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 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))
(neg.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -1 (cos.f64 x)))

eval170.0ms (0.7%)

Compiler

Compiled 10205 to 5953 computations (41.7% saved)

prune155.0ms (0.6%)

Pruning

34 alts after pruning (29 fresh and 5 done)

PrunedKeptTotal
New58826614
Fresh437
Picked101
Done055
Total59334627
Error
15.9b
Counts
627 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
40.2b
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
40.1b
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
▶40.0b
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
✓40.0b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓39.1b
(-.f64 (cos.f64 eps) (cos.f64 x))
✓39.4b
(-.f64 (cos.f64 eps) 1)
54.0b
(-.f64 1 (cos.f64 x))
46.6b
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
49.0b
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
34.1b
(+.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)))))
✓33.6b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
▶33.7b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
39.4b
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
46.1b
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
▶49.5b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
49.7b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
33.9b
(+.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))))
✓41.3b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
40.1b
(+.f64 1 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 x) -1)))
40.2b
(+.f64 1 (-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2))
40.1b
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (cos.f64 x)))
40.0b
(+.f64 1 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2)))
39.5b
(+.f64 1 (-.f64 (cos.f64 eps) 2))
▶54.8b
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
39.2b
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
39.5b
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
55.4b
(+.f64 1 (+.f64 (+.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))))) -1))
55.1b
(+.f64 1 (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 -1 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
54.9b
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -1 (*.f64 eps (sin.f64 x)))))
▶55.1b
(+.f64 1 -1)
39.2b
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
39.5b
(*.f64 (sin.f64 x) (neg.f64 eps))
52.2b
(*.f64 eps (neg.f64 x))
49.1b
(*.f64 -1/2 (pow.f64 eps 2))
Compiler

Compiled 895 to 710 computations (20.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 34 to 18 computations (47.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

9 calls:

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

rewrite105.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1746×rational.json-1
1746×rational.json-2
1196×rational.json-simplify-35
980×exponential.json-3
980×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
19146
219746
340546
483446
5201546
6440846
7753446
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.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 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 2) -1/4))))) (#(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 (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) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 eps 2)) 4) 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 (neg.f64 (pow.f64 eps 2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4))) (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4)))) 64)))) (#(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 -.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 -2 (*.f64 eps (sin.f64 x))) (neg.f64 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))))))

simplify270.0ms (1%)

Algorithm
1×egg-herbie
Rules
2048×rational.json-simplify-1
1818×rational.json-simplify-35
1248×rational.json-simplify-2
1036×rational.json-simplify-52
846×rational.json-simplify-26
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161925
12621843
26141831
316041825
432711825
541101825
645381825
755461825
861101825
965721825
1069311825
1172471825
1279611825
Stop Event
1×node limit
Counts
67 → 66
Calls
Call 1
Inputs
(*.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 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.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 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 2) -1/4))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) 0)
(-.f64 0 (*.f64 (pow.f64 eps 2) 1/2))
(/.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) -2) 4)
(/.f64 (*.f64 (neg.f64 (pow.f64 eps 2)) 4) 8)
(/.f64 (*.f64 (pow.f64 eps 2) 1/2) -1)
(/.f64 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4))) (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4)))) 64)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(neg.f64 (*.f64 (pow.f64 eps 2) 1/2))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 0)
(*.f64 -1/2 (+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps (sin.f64 x)))))
(*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1/2))
(*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)
(*.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))
(*.f64 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))))
(*.f64 1/2 (+.f64 (*.f64 -2 (*.f64 eps (sin.f64 x))) (neg.f64 (pow.f64 eps 2))))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4))
(*.f64 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 4)
(*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)) -1)
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)
(/.f64 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8)))) 64)
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)
(neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)) (*.f64 eps (neg.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (pow.f64 x 3) (*.f64 1/6 eps))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)) (*.f64 eps (*.f64 (pow.f64 x 5) -1/120))) (*.f64 eps (neg.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (*.f64 1/6 eps)) (*.f64 (pow.f64 x 5) (*.f64 -1/120 eps)))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.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 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 2) -1/4))
(*.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 (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) -2) 4)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 (neg.f64 (pow.f64 eps 2)) 4) 8)
(*.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 (neg.f64 (pow.f64 eps 2)) 4)) 16)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4))) 32)
(*.f64 -1/2 (pow.f64 eps 2))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4))) (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 eps 2)) 4)))) 64)
(*.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))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 0)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 -1/2 (+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps (sin.f64 x)))))
(*.f64 -1/2 (+.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 (sin.f64 x) 2))))
(*.f64 -1/2 (+.f64 (pow.f64 eps 2) (*.f64 eps (*.f64 2 (sin.f64 x)))))
(*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1/2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))) 1/2)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 1/4)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 1/2 (+.f64 (*.f64 -2 (*.f64 eps (sin.f64 x))) (neg.f64 (pow.f64 eps 2))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1/2) 2)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 4)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)) -1)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(/.f64 (*.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x))))) 2)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 4) 4)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8) 8)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8)) 16)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8))) 32)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 8)))) 64)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 (neg.f64 x)))) 1)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 -1 (*.f64 eps (sin.f64 x)))
✓0.1b
(*.f64 eps (sin.f64 x))
✓3.0b
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
Compiler

Compiled 26 to 12 computations (53.8% saved)

series5.0ms (0%)

Counts
3 → 52
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(-.f64 -1 (*.f64 eps (sin.f64 x)))
0.0ms
x
@0
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
0.0ms
x
@0
(*.f64 eps (sin.f64 x))
0.0ms
eps
@0
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
0.0ms
x
@0
(-.f64 -1 (*.f64 eps (sin.f64 x)))

rewrite100.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1324×exponential.json-3
1324×rational.json-1
1324×rational.json-2
1324×rational.json-4
1324×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151
18345
217543
334443
466843
5159943
6367043
7626843
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps (sin.f64 x)) -2) (*.f64 (sin.f64 x) (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 eps (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (neg.f64 eps) (*.f64 (sin.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps (sin.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 -1 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 eps (sin.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 eps (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps 1/2) (neg.f64 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (neg.f64 (+.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 eps 1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps (sin.f64 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 x) (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 eps) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 eps eps)) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps (sin.f64 x)) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 (sin.f64 x))) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (sin.f64 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 (sin.f64 x) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4) 4)))) (#(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 (*.f64 eps (sin.f64 x)) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 eps 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (sin.f64 x) (*.f64 eps 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (sin.f64 x) (*.f64 eps 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 eps (sin.f64 x))) 1)))) (#(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 eps (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 eps (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 (sin.f64 x) 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 (*.f64 eps (sin.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sin.f64 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1/2) (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1 (*.f64 eps (sin.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (*.f64 eps (sin.f64 x))))))))

simplify159.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
2074×rational.json-simplify-35
1104×rational.json-simplify-52
1084×rational.json-simplify-2
806×rational.json-simplify-1
802×exponential.json-simplify-26
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02313001
15652753
214532705
332172697
446822697
569142697
676902697
Stop Event
1×node limit
Counts
163 → 162
Calls
Call 1
Inputs
(*.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 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 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 7))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
-1
(-.f64 (*.f64 -1 (*.f64 eps x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) 1)
(-.f64 (+.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))))) 1)
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
(-.f64 1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(-.f64 -1 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) -1)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (/.f64 (*.f64 eps (sin.f64 x)) -2) (*.f64 (sin.f64 x) (*.f64 eps 1/2)))
(*.f64 1 (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (*.f64 eps (sin.f64 x)) -1)
(*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(*.f64 2 (/.f64 (*.f64 eps (sin.f64 x)) -2))
(*.f64 2 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 eps 1/2)))
(*.f64 2 (*.f64 (neg.f64 eps) (*.f64 (sin.f64 x) 1/2)))
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) -2) 1/2)
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 -1 (*.f64 eps 1/2)))
(*.f64 4 (/.f64 (*.f64 eps (sin.f64 x)) -4))
(*.f64 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (*.f64 eps (sin.f64 x)) -2))
(*.f64 1/4 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4))
(*.f64 (*.f64 eps 1/2) (neg.f64 (*.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (sin.f64 x) 1/2) (neg.f64 (+.f64 eps eps)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 eps 1/2)) -2)
(*.f64 (/.f64 (*.f64 eps (sin.f64 x)) -2) 2)
(*.f64 (neg.f64 (sin.f64 x)) eps)
(*.f64 -2 (*.f64 (sin.f64 x) (*.f64 eps 1/2)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (*.f64 eps 1/2))
(*.f64 (neg.f64 (+.f64 eps eps)) (*.f64 (sin.f64 x) 1/2))
(*.f64 (/.f64 (*.f64 eps (sin.f64 x)) -4) 4)
(*.f64 (*.f64 2 (neg.f64 (sin.f64 x))) (*.f64 eps 1/2))
(/.f64 (*.f64 eps (sin.f64 x)) -1)
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(/.f64 (*.f64 (*.f64 eps (sin.f64 x)) -2) 2)
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) 2)) -2)
(/.f64 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4) 4)
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps 4)) -4)
(/.f64 (*.f64 (*.f64 eps (sin.f64 x)) 8) -8)
(/.f64 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8)) -16)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 eps 4))) 4)
(/.f64 (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 8)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8))) -32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 8))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (sin.f64 x) (*.f64 eps 4)))) 8)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 8))) 16)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (sin.f64 x) (*.f64 eps 4))))) 16)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 8)))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8)))) 32)
(pow.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(neg.f64 (*.f64 eps (sin.f64 x)))
(+.f64 1 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (sin.f64 x)) 0)
(+.f64 0 (*.f64 eps (sin.f64 x)))
(+.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -1)
(+.f64 (+.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps 1/2)) (*.f64 (sin.f64 x) (*.f64 eps 1/2)))
(-.f64 (*.f64 eps (sin.f64 x)) 0)
(-.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (+.f64 -1 (*.f64 eps (sin.f64 x))) -1)
(/.f64 (*.f64 eps (sin.f64 x)) 1)
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) 2)) 2)
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps 4)) 4)
(/.f64 (*.f64 (*.f64 eps (sin.f64 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 8)))) 64)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(+.f64 1 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))))
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 0)
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1)
(+.f64 0 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1/2) (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1/2))
(+.f64 -2 (-.f64 1 (*.f64 eps (sin.f64 x))))
(+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
(+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)))
(*.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1/2))
(*.f64 4 (/.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4))
(*.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 1/2)
(*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -1)
(*.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))
(*.f64 1/4 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4))
(*.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1/2) 2)
(*.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2) -2)
(*.f64 (/.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4) 4)
(/.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(/.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2)
(/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -1)
(/.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4) 4)
(/.f64 (*.f64 2 (+.f64 1 (*.f64 eps (sin.f64 x)))) -2)
(/.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8) 8)
(/.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x)))) -4)
(/.f64 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x))))) -8)
(/.f64 (neg.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x))))) 4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8)))) 64)
(/.f64 (*.f64 2 (neg.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x)))))) 8)
(pow.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(neg.f64 (+.f64 1 (*.f64 eps (sin.f64 x))))
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.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 (pow.f64 x 3) (*.f64 1/6 eps)))
(*.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 (pow.f64 x 3) (*.f64 1/6 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (*.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 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.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 1/6 (*.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 7) 1/5040)) (*.f64 eps (*.f64 (pow.f64 x 5) -1/120)))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 eps (*.f64 1/5040 (pow.f64 x 7))) (+.f64 (*.f64 (pow.f64 x 3) (*.f64 1/6 eps)) (*.f64 eps (*.f64 -1/120 (pow.f64 x 5))))))
(+.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)) (*.f64 1/5040 (pow.f64 x 7)))) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.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)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 eps x) (*.f64 eps (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) -1/6)) (*.f64 eps (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6))) (*.f64 eps (*.f64 (pow.f64 x 5) 1/120)))
(*.f64 eps (+.f64 (*.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 7))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(+.f64 (*.f64 eps x) (+.f64 (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) -1/6)) (*.f64 eps (*.f64 (pow.f64 x 7) -1/5040))) (*.f64 eps (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (*.f64 eps (*.f64 (pow.f64 x 5) 1/120)) (+.f64 (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6))) (*.f64 eps (*.f64 (pow.f64 x 7) -1/5040))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 7) -1/5040) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 eps (+.f64 (*.f64 (pow.f64 x 5) 1/120) x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 eps (*.f64 (pow.f64 x 7) -1/5040)))
(+.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 5) 1/120))) (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 7) -1/5040))))
-1
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
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(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2) -2)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (/.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4) 4)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -1)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 4) 4)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (+.f64 1 (*.f64 eps (sin.f64 x)))) -2)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8) 8)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x)))) -4)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8)) 16)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8))) 32)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x))))) -8)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x))))) 4)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 8)))) 64)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (neg.f64 (*.f64 4 (+.f64 1 (*.f64 eps (sin.f64 x)))))) 8)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(pow.f64 (-.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (+.f64 1 (*.f64 eps (sin.f64 x))))
(+.f64 -1 (*.f64 eps (sin.f64 (neg.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
✓1.9b
(+.f64 (cos.f64 x) -1)
✓2.6b
(+.f64 (cos.f64 (+.f64 x eps)) -1)
6.8b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 35 to 15 computations (57.1% saved)

series2.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite110.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1660×rational.json-1
1660×rational.json-2
1660×rational.json-3
1482×rational.json-simplify-35
1110×exponential.json-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261
18861
220655
347849
4111949
5284049
6534049
7720349
Stop Event
1×node limit
Counts
3 → 92
Calls
Call 1
Inputs
(+.f64 (cos.f64 (+.f64 x eps)) -1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
Outputs
((#(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)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.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 (+.f64 (cos.f64 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (cos.f64 x)))))) (#(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 (*.f64 (+.f64 -1 (cos.f64 x)) 2) 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)) 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 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2) 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)) 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 (+.f64 -1 (cos.f64 x)) 4) 4)))) (#(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 (+.f64 -1 (cos.f64 x)) 4))) 16)))) (#(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 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (cos.f64 x)) 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 -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)) -1) (-.f64 1 (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 (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 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.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 -1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) (+.f64 (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 -1 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (-.f64 -1 (cos.f64 x)))))) (#(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 -3 (-.f64 1 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (-.f64 1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)))))) (#(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 (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 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 4 (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) (/.f64 (+.f64 -1 (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 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 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 1/4 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) (*.f64 (+.f64 -1 (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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) -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)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)))) 8)))) (#(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))))))))

simplify224.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1696×rational.json-simplify-35
1488×rational.json-simplify-52
1234×rational.json-simplify-48
1022×rational.json-simplify-2
974×rational.json-simplify-51
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02543438
15423380
212833380
325893296
441733296
557973296
665103296
772233296
878033296
Stop Event
1×node limit
Counts
152 → 180
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 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(-.f64 (+.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)))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) 1)
(-.f64 (+.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)))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.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 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.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)) 1)
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 0)
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1)
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 2))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4))))) 64)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 -1 (cos.f64 x)) 0)
(-.f64 (+.f64 (cos.f64 x) -2) -1)
(*.f64 (+.f64 -1 (cos.f64 x)) 1)
(*.f64 1 (+.f64 -1 (cos.f64 x)))
(*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2))
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 -1 (cos.f64 x)) 4))
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 -1 (cos.f64 x)) 2))
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 -1 (cos.f64 x)) 4))
(*.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 (+.f64 -1 (cos.f64 x)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) 4)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (cos.f64 x)) 4))))) 64)
(pow.f64 (+.f64 -1 (cos.f64 x)) 1)
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 -1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (-.f64 1 (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 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (cos.f64 x))) -1)
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 -2 (+.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) 1)
(+.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 (+.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -2)
(+.f64 (-.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 1))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (-.f64 -1 (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 -3 (-.f64 1 (+.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (-.f64 1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)))
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.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 4 (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) (/.f64 (+.f64 -1 (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 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 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 1/4 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) (*.f64 (+.f64 -1 (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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2) -2)
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4)) 8)
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) -4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))) 16)
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) -8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4)))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) 4)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))))) 64)
(/.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)))) 8)
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
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 (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 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps)))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
(+.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 (*.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)))))) 1)
(+.f64 (+.f64 (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 -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 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (+.f64 (cos.f64 eps) -1) (+.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 -1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) 1)
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (+.f64 -1 (cos.f64 x)))
(+.f64 -1 (+.f64 (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 -1 (cos.f64 x)))
(+.f64 (cos.f64 x) (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) 1)
(+.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 -1 (cos.f64 x)))
(+.f64 -1 (+.f64 (cos.f64 x) (+.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 (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (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 -1 (*.f64 eps (sin.f64 x)))))
(-.f64 (+.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)))))) 1)
(+.f64 (+.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))) (-.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) 1))
(+.f64 -1 (+.f64 (cos.f64 x) (+.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 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))) (+.f64 -1 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 -1 (+.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 -1 (cos.f64 x))))
(+.f64 -1 (+.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 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) 1)
(+.f64 -1 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
(+.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) -1)
(+.f64 -1 (cos.f64 (-.f64 eps (neg.f64 x))))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1)
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(*.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 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) (/.f64 (+.f64 -1 (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) 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 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 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 1/4 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (cos.f64 x) 4)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 1/4 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) 4) (*.f64 (+.f64 -1 (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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2) -2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4)) 8)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) -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)) 4))) 16)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) -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)) 4)))) 32)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) 4)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 4))))) 64)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)))) 8)
(-.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))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (pow.f64 eps 2))
✓0.0b
(*.f64 -1/720 (pow.f64 eps 6))
✓0.1b
(*.f64 1/24 (pow.f64 eps 4))
✓26.0b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
Compiler

Compiled 61 to 49 computations (19.7% saved)

series4.0ms (0%)

Counts
3 → 6
Calls

9 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
(*.f64 -1/720 (pow.f64 eps 6))
0.0ms
eps
@inf
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
0.0ms
eps
@0
(*.f64 -1/720 (pow.f64 eps 6))
0.0ms
eps
@0
(*.f64 1/24 (pow.f64 eps 4))
0.0ms
eps
@0
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))

rewrite135.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1842×rational.json-simplify-35
1554×exponential.json-3
1554×rational.json-1
1554×rational.json-2
1554×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01775
111175
220275
338375
477275
5194275
6409075
7557675
8706275
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(*.f64 1/24 (pow.f64 eps 4))
(*.f64 -1/720 (pow.f64 eps 6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 6) -1/1440))) (*.f64 (pow.f64 eps 4) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (neg.f64 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 eps 4) 1/12) (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 6) -1/1440)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 4) 1/48) (*.f64 (pow.f64 eps 4) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 4) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 4) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/720 (pow.f64 eps 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/720 (pow.f64 eps 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 6) -1/1440))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/720 (pow.f64 eps 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 6) -1/360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 6) -1/180) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1)))))

simplify579.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
4048×rational.json-simplify-35
1726×rational.json-simplify-2
1302×rational.json-simplify-1
1276×rational.json-simplify-51
872×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01191631
12801631
25841631
319061631
447821631
552121631
655231631
756781631
858191631
959591631
1068041631
1168681631
1268761631
1368761631
1468761631
1570121631
1671481631
1772841631
1874201631
1975561631
2076921631
2178281631
2279641631
Stop Event
1×node limit
Counts
55 → 57
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 -1/720 (pow.f64 eps 6))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))
(*.f64 -1/720 (pow.f64 eps 6))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 0)
(*.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2))
(*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)
(*.f64 1 (+.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 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))) 1/2)
(*.f64 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))) 1/4)
(*.f64 1/2 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))))
(*.f64 1/2 (+.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 6) -1/1440))) (*.f64 (pow.f64 eps 4) 1/12)))
(*.f64 1/2 (+.f64 (*.f64 2 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (neg.f64 (pow.f64 eps 2))))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 eps 4) 1/12) (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 6) -1/1440)))))
(*.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2)
(*.f64 1/4 (*.f64 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 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2) 4)
(/.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)
(/.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))) 2)
(/.f64 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))) 4)
(/.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8))))) 128)
(pow.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 (pow.f64 eps 4) 1/48) (*.f64 (pow.f64 eps 4) 1/48))
(-.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)
(/.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(/.f64 (*.f64 (pow.f64 eps 4) 1/12) 2)
(/.f64 (*.f64 (pow.f64 eps 4) 1/6) 4)
(/.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8))))) 128)
(pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(+.f64 (*.f64 -1/720 (pow.f64 eps 6)) 0)
(+.f64 0 (*.f64 -1/720 (pow.f64 eps 6)))
(+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 6) -1/1440))
(-.f64 (*.f64 -1/720 (pow.f64 eps 6)) 0)
(/.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1)
(/.f64 (*.f64 (pow.f64 eps 6) -1/360) 2)
(/.f64 (*.f64 (pow.f64 eps 6) -1/180) 4)
(/.f64 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)) 8)
(/.f64 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360))))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)))))) 128)
(pow.f64 (*.f64 -1/720 (pow.f64 eps 6)) 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 -1/720 (pow.f64 eps 6))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))
(*.f64 -1/720 (pow.f64 eps 6))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 0)
(+.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 -1/720 (pow.f64 eps 6))))
(*.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2))
(+.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 -1/720 (pow.f64 eps 6))))
(*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))))
(+.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 -1/720 (pow.f64 eps 6))))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)
(+.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 -1/720 (pow.f64 eps 6))))
(*.f64 1 (+.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 -1/720 (pow.f64 eps 6))))
(*.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))) 1/2)
(+.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 -1/720 (pow.f64 eps 6))))
(*.f64 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))) 1/4)
(+.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 -1/720 (pow.f64 eps 6))))
(*.f64 1/2 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))))
(+.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 -1/720 (pow.f64 eps 6))))
(*.f64 1/2 (+.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 6) -1/1440))) (*.f64 (pow.f64 eps 4) 1/12)))
(*.f64 1/2 (+.f64 (*.f64 2 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (neg.f64 (pow.f64 eps 2))))
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 eps 4) 1/12) (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 6) -1/1440)))))
(*.f64 1/2 (+.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (*.f64 (pow.f64 eps 6) -1/1440))) (*.f64 (pow.f64 eps 4) 1/12)))
(*.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2)
(+.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 -1/720 (pow.f64 eps 6))))
(*.f64 1/4 (*.f64 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 -1/720 (pow.f64 eps 6))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48))) 2) 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 -1/720 (pow.f64 eps 6))))
(/.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)
(+.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 -1/720 (pow.f64 eps 6))))
(/.f64 (*.f64 4 (+.f64 (*.f64 (pow.f64 eps 2) -1/4) (+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 4) 1/48)))) 2)
(+.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 -1/720 (pow.f64 eps 6))))
(/.f64 (*.f64 4 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))) 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 -1/720 (pow.f64 eps 6))))
(/.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8) 8)
(+.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 -1/720 (pow.f64 eps 6))))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8)) 16)
(+.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 -1/720 (pow.f64 eps 6))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8))) 32)
(+.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 -1/720 (pow.f64 eps 6))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8)))) 64)
(+.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 -1/720 (pow.f64 eps 6))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 8))))) 128)
(+.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 -1/720 (pow.f64 eps 6))))
(pow.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6)))) 1)
(+.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 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 0 (*.f64 1/24 (pow.f64 eps 4)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (*.f64 (pow.f64 eps 4) 1/48) (*.f64 (pow.f64 eps 4) 1/48))
(*.f64 1/24 (pow.f64 eps 4))
(-.f64 (*.f64 1/24 (pow.f64 eps 4)) 0)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 (pow.f64 eps 4) 1/12) 2)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 (pow.f64 eps 4) 1/6) 4)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8) 8)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8)) 16)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8))) 32)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8)))) 64)
(*.f64 1/24 (pow.f64 eps 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 8))))) 128)
(*.f64 1/24 (pow.f64 eps 4))
(pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (*.f64 -1/720 (pow.f64 eps 6)) 0)
(*.f64 -1/720 (pow.f64 eps 6))
(+.f64 0 (*.f64 -1/720 (pow.f64 eps 6)))
(*.f64 -1/720 (pow.f64 eps 6))
(+.f64 (*.f64 (pow.f64 eps 6) -1/1440) (*.f64 (pow.f64 eps 6) -1/1440))
(*.f64 -1/720 (pow.f64 eps 6))
(-.f64 (*.f64 -1/720 (pow.f64 eps 6)) 0)
(*.f64 -1/720 (pow.f64 eps 6))
(/.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1)
(*.f64 -1/720 (pow.f64 eps 6))
(/.f64 (*.f64 (pow.f64 eps 6) -1/360) 2)
(*.f64 -1/720 (pow.f64 eps 6))
(/.f64 (*.f64 (pow.f64 eps 6) -1/180) 4)
(*.f64 -1/720 (pow.f64 eps 6))
(/.f64 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)) 8)
(*.f64 -1/720 (pow.f64 eps 6))
(/.f64 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360))) 16)
(*.f64 -1/720 (pow.f64 eps 6))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)))) 32)
(*.f64 -1/720 (pow.f64 eps 6))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360))))) 64)
(*.f64 -1/720 (pow.f64 eps 6))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (pow.f64 eps 6) -1/360)))))) 128)
(*.f64 -1/720 (pow.f64 eps 6))
(pow.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1)
(*.f64 -1/720 (pow.f64 eps 6))

eval225.0ms (0.9%)

Compiler

Compiled 9500 to 6014 computations (36.7% saved)

prune299.0ms (1.2%)

Pruning

41 alts after pruning (32 fresh and 9 done)

PrunedKeptTotal
New56511576
Fresh32124
Picked011
Done189
Total56941610
Error
15.9b
Counts
610 → 41
Alt Table
Click to see full alt table
StatusErrorProgram
▶40.2b
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
40.1b
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1) (+.f64 (cos.f64 x) -1))
39.1b
(-.f64 (-.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 x) -1))
40.1b
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
39.9b
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (-.f64 (+.f64 (cos.f64 x) -2) -1))
✓40.0b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓39.1b
(-.f64 (cos.f64 eps) (cos.f64 x))
✓39.4b
(-.f64 (cos.f64 eps) 1)
54.0b
(-.f64 1 (cos.f64 x))
40.1b
(+.f64 (-.f64 -1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (-.f64 1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)))
49.0b
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
49.0b
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 -1/2 (pow.f64 eps 2)))
52.7b
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
▶33.9b
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
34.1b
(+.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)))))
39.7b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
✓33.6b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
✓33.7b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
39.4b
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
46.1b
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
✓49.5b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
49.7b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
✓41.3b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
40.2b
(+.f64 1 (-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2))
40.1b
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (cos.f64 x)))
40.0b
(+.f64 1 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2)))
39.5b
(+.f64 1 (-.f64 (cos.f64 eps) 2))
✓54.8b
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
55.5b
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
39.2b
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) -1))
39.5b
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
▶54.8b
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))))
55.4b
(+.f64 1 (+.f64 (+.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))))) -1))
▶54.8b
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
55.1b
(+.f64 1 (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 -1 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
54.9b
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -1 (*.f64 eps (sin.f64 x)))))
✓55.1b
(+.f64 1 -1)
39.2b
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
39.5b
(*.f64 (sin.f64 x) (neg.f64 eps))
▶52.2b
(*.f64 eps (neg.f64 x))
49.1b
(*.f64 -1/2 (pow.f64 eps 2))
Compiler

Compiled 1066 to 837 computations (21.5% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
✓0.2b
(*.f64 1/6 (pow.f64 eps 3))
✓2.2b
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
✓5.8b
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
Compiler

Compiled 76 to 47 computations (38.2% saved)

series6.0ms (0%)

Counts
4 → 72
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms
eps
@0
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms
x
@0
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
0.0ms
eps
@inf
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
0.0ms
eps
@inf
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))

rewrite95.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1552×rational.json-simplify-35
1204×exponential.json-3
1204×rational.json-1
1204×rational.json-2
1204×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020130
1140130
2290130
3590130
41229130
53062130
65913130
Stop Event
1×node limit
Counts
4 → 59
Calls
Call 1
Inputs
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
(*.f64 1/6 (pow.f64 eps 3))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 (sin.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 (sin.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 3) 1/12) (*.f64 (pow.f64 eps 3) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/4)) (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))))))

simplify196.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1790×rational.json-simplify-35
1616×rational.json-simplify-48
1298×rational.json-simplify-51
1208×rational.json-simplify-2
798×rational.json-simplify-53
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01945305
14565113
210345035
323814537
450284537
558864537
664324537
770494537
Stop Event
1×node limit
Counts
131 → 126
Calls
Call 1
Inputs
(*.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 1/6 (*.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 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 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 1/6 (*.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 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 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 1/6 (*.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 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x)
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x) (*.f64 1/120 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) x) (+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 7))) (*.f64 1/120 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (pow.f64 x 5))))))
(*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
(*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
(*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
(*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.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 (*.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 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 0)
(*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2))
(*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)
(*.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(*.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))))
(*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)
(/.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)
(/.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) 64)
(pow.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 0)
(+.f64 0 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 (sin.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 (sin.f64 x) 1/2)))
(-.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 0)
(/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 2 (sin.f64 x))) 2)
(/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)) 4)
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)))))) 64)
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)
(+.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 eps 3)))
(+.f64 (*.f64 (pow.f64 eps 3) 1/12) (*.f64 (pow.f64 eps 3) 1/12))
(-.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)
(/.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(/.f64 (*.f64 (pow.f64 eps 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 eps 3) 2/3) 4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3))))) 64)
(pow.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 0)
(+.f64 0 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/4)) (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/4)))
(-.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 0)
(-.f64 0 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 1)
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)) 4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))) 8)
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)) -1)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)))))) 64)
(pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 1)
(neg.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.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 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.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 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.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 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))
(*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 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 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.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 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))
(*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
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(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))) 16)
(+.f64 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) 32)
(+.f64 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 4))))) 64)
(+.f64 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(pow.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))) 1)
(+.f64 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (+.f64 (neg.f64 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 0)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(+.f64 0 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 (sin.f64 x) 1/2)) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 (sin.f64 x) 1/2)))
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(-.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 0)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) (*.f64 2 (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)) 4)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))) 8)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)))) 16)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))))) 32)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)) 4)))))) 64)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) 1)
(*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))
(+.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)
(*.f64 1/6 (pow.f64 eps 3))
(+.f64 0 (*.f64 1/6 (pow.f64 eps 3)))
(*.f64 1/6 (pow.f64 eps 3))
(+.f64 (*.f64 (pow.f64 eps 3) 1/12) (*.f64 (pow.f64 eps 3) 1/12))
(*.f64 1/6 (pow.f64 eps 3))
(-.f64 (*.f64 1/6 (pow.f64 eps 3)) 0)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (*.f64 (pow.f64 eps 3) 1/3) 2)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (*.f64 (pow.f64 eps 3) 2/3) 4)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)) 8)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3))) 16)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)))) 32)
(*.f64 1/6 (pow.f64 eps 3))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 3) 2/3))))) 64)
(*.f64 1/6 (pow.f64 eps 3))
(pow.f64 (*.f64 1/6 (pow.f64 eps 3)) 1)
(*.f64 1/6 (pow.f64 eps 3))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 0)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 0 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2))))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/4)) (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -1/4)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 0)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(-.f64 0 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 1)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) 2)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)) 4)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))) 8)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)) -1)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)))) 16)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))))) 32)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) -2)))))) 64)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) 1)
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(neg.f64 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) 1/2)))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))

localize4.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x))))
✓0.0b
(+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
✓0.1b
(*.f64 eps (neg.f64 (sin.f64 x)))
✓3.0b
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
Compiler

Compiled 43 to 19 computations (55.8% saved)

series2.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x))))
0.0ms
eps
@inf
(+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x))))
0.0ms
eps
@0
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
0.0ms
x
@0
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
0.0ms
x
@-inf
(+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)

rewrite188.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1330×rational.json-simplify-35
1130×exponential.json-3
1130×rational.json-1
1130×rational.json-2
1130×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013102
110496
223472
351672
4120372
5261372
6505672
Stop Event
1×node limit
Counts
4 → 136
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
(+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 eps (*.f64 (sin.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) (/.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 eps -1/2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (neg.f64 eps) 1/2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (neg.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (sin.f64 x)) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 eps 1/2) (*.f64 (sin.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 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simplify238.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1676×rational.json-simplify-35
1114×rational.json-simplify-45
924×rational.json-simplify-2
906×rational.json-simplify-1
862×rational.json-simplify-49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02464320
15633988
215453916
336573900
447963900
554313900
661123900
769313900
Stop Event
1×node limit
Counts
232 → 170
Calls
Call 1
Inputs
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(-.f64 (*.f64 -1 (*.f64 eps x)) 2)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) 2)
(-.f64 (+.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))))) 2)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) -1)
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1)
(*.f64 1 (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 eps (*.f64 (sin.f64 x) 1/2)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(*.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 eps -2)))
(*.f64 2 (*.f64 (*.f64 eps -1/2) (sin.f64 x)))
(*.f64 2 (*.f64 (*.f64 (neg.f64 eps) 1/2) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 eps -1/2))
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (neg.f64 eps) 1/2))
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 eps -2))
(*.f64 (+.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(*.f64 (*.f64 -2 (sin.f64 x)) (*.f64 eps 1/2))
(*.f64 4 (/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4))
(*.f64 4 (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps 1/2)))
(*.f64 4 (*.f64 (*.f64 eps 1/2) (*.f64 (sin.f64 x) -1/2)))
(*.f64 4 (*.f64 (/.f64 eps -2) (*.f64 (sin.f64 x) 1/2)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 -2 eps)) 1/2)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 -1/2 (*.f64 eps 1/2)))
(*.f64 -4 (*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 eps 1/2)))
(*.f64 (*.f64 (sin.f64 x) -4) (*.f64 1/2 (*.f64 eps 1/2)))
(*.f64 8 (*.f64 (/.f64 (sin.f64 x) -4) (*.f64 eps 1/2)))
(*.f64 8 (*.f64 (/.f64 eps 4) (*.f64 (sin.f64 x) -1/2)))
(*.f64 (*.f64 eps 4) (*.f64 -1/2 (*.f64 (sin.f64 x) 1/2)))
(*.f64 (*.f64 eps 4) (*.f64 1/2 (*.f64 (sin.f64 x) -1/2)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 eps -4)) 1/4)
(*.f64 (*.f64 eps (sin.f64 x)) -1)
(*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 -2 eps)))
(*.f64 (*.f64 (sin.f64 x) 8) (*.f64 -1/4 (*.f64 eps 1/2)))
(*.f64 (*.f64 eps 8) (*.f64 1/4 (*.f64 (sin.f64 x) -1/2)))
(*.f64 (*.f64 -2 eps) (*.f64 (sin.f64 x) 1/2))
(*.f64 (*.f64 (sin.f64 x) -8) (*.f64 1/4 (*.f64 eps 1/2)))
(*.f64 (*.f64 eps (*.f64 (sin.f64 x) 2)) -1/2)
(*.f64 1/4 (*.f64 (sin.f64 x) (*.f64 eps -4)))
(*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 -2 eps))
(*.f64 (*.f64 eps 1/2) (*.f64 -2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (sin.f64 x) -1/2) (+.f64 eps eps))
(*.f64 (*.f64 (sin.f64 x) (/.f64 eps -2)) 2)
(*.f64 (*.f64 eps -1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (neg.f64 eps) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/2)) -2)
(*.f64 (/.f64 eps -2) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4) 4)
(*.f64 (+.f64 (/.f64 eps 4) (/.f64 eps 4)) (*.f64 -2 (sin.f64 x)))
(*.f64 (+.f64 (/.f64 (sin.f64 x) -4) (/.f64 (sin.f64 x) -4)) (+.f64 eps eps))
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 eps)) 2)
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps -4)) 4)
(/.f64 (*.f64 eps (sin.f64 x)) -1)
(/.f64 (*.f64 -8 (*.f64 eps (sin.f64 x))) 8)
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) 2)) -2)
(/.f64 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x))))) (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x)))))) 64)
(pow.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(neg.f64 (*.f64 eps (sin.f64 x)))
(+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1))
(+.f64 -2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 2)
(+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(+.f64 0 (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 -1 (-.f64 1 (*.f64 eps (sin.f64 x))))
(+.f64 2 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) -1)
(+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2) -2)
(+.f64 3 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -3))
(+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -3) 3)
(+.f64 -3 (+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)))
(+.f64 (+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)) -3)
(+.f64 (*.f64 (sin.f64 x) (/.f64 eps -2)) (*.f64 (sin.f64 x) (/.f64 eps -2)))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) -1)
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1)
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 eps)) 2)
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps -4)) 4)
(/.f64 (*.f64 eps (sin.f64 x)) -1)
(/.f64 (*.f64 -8 (*.f64 eps (sin.f64 x))) 8)
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) 2)) -2)
(/.f64 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x))))) (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x)))))) 64)
(pow.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(neg.f64 (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(-.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) -1)
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 0)
(*.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1))
(*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1/2))
(*.f64 (+.f64 -2 (*.f64 (sin.f64 x) (*.f64 -2 eps))) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4))
(*.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4) 1/4)
(*.f64 1/2 (+.f64 -2 (*.f64 (sin.f64 x) (*.f64 -2 eps))))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4))
(*.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1/2) 2)
(*.f64 (/.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4) 4)
(/.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 x) (*.f64 -2 eps))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8)))) 64)
(pow.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(-.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 0)
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -3) -1)
(*.f64 1 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
(*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1/2))
(*.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4))
(*.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 2))
(*.f64 1/4 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4))
(*.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4) 4)
(/.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 2) 2)
(/.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8)))) 64)
(pow.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.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 -1 (*.f64 eps x)) (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (*.f64 1/6 (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 eps (*.f64 (pow.f64 x 3) 1/6)) (*.f64 eps (*.f64 (pow.f64 x 5) -1/120))))
(+.f64 (*.f64 eps (*.f64 1/6 (pow.f64 x 3))) (+.f64 (*.f64 eps (*.f64 -1/120 (pow.f64 x 5))) (*.f64 eps (neg.f64 x))))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (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 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 7) 1/5040)) (*.f64 eps (*.f64 (pow.f64 x 5) -1/120)))))
(+.f64 (*.f64 eps (*.f64 1/6 (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 eps (*.f64 -1/120 (pow.f64 x 5))) (*.f64 (pow.f64 x 7) (*.f64 1/5040 eps))) (*.f64 eps (neg.f64 x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/5040 (pow.f64 x 7)))) (*.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)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.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 -1 (*.f64 eps x)) (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (*.f64 1/6 (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)))))
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(*.f64 (*.f64 (sin.f64 x) -1/2) (+.f64 eps eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 eps -2)) 2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 (*.f64 eps -1/2) (*.f64 (sin.f64 x) 2))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 eps) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/2)) -2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 (/.f64 eps -2) (*.f64 (sin.f64 x) 2))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 (/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 4) 4)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 (+.f64 (/.f64 eps 4) (/.f64 eps 4)) (*.f64 -2 (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(*.f64 (+.f64 (/.f64 (sin.f64 x) -4) (/.f64 (sin.f64 x) -4)) (+.f64 eps eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 eps)) 2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps -4)) 4)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) -1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 -8 (*.f64 eps (sin.f64 x))) 8)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) 2)) -2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x)))) 16)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x))))) 32)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x))))) (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x)))))) 64)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(pow.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 -2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 0 (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 -1 (-.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 2 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) -1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2) -2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 3 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -3))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -3) 3)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 -3 (+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (+.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)) -3)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (/.f64 eps -2)) (*.f64 (sin.f64 x) (/.f64 eps -2)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 0)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) -1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(-.f64 (-.f64 1 (*.f64 eps (sin.f64 x))) 1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 eps)) 2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps -4)) 4)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) -1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 -8 (*.f64 eps (sin.f64 x))) 8)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) 2)) -2)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x)))) 16)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x))))) 32)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x))))) (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 eps (sin.f64 x)))))) 64)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(pow.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) -1)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 0)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1))
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1/2))
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (+.f64 -2 (*.f64 (sin.f64 x) (*.f64 -2 eps))) 1/2)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 4 (/.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4))
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4) 1/4)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 1/2 (+.f64 -2 (*.f64 (sin.f64 x) (*.f64 -2 eps))))
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4))
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1/2) 2)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4) 4)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (+.f64 -2 (*.f64 (sin.f64 x) (*.f64 -2 eps))) 2)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 4) 4)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8) 8)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8)) 16)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8))) 32)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 8)))) 64)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(pow.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 0)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -3) -1)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 1 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1/2))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 2) 1/2)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 4 (/.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4) 1/4)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 1/2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 2))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 1/4 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4))
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1/2) 2)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(*.f64 (/.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4) 4)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(/.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 2) 2)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 4) 4)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8) 8)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8)) 16)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8))) 32)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 8)))) 64)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))
(pow.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1)
(-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 2)
(-.f64 -2 (*.f64 eps (sin.f64 x)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (cos.f64 (+.f64 x eps)) 2)
✓0.2b
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x))
✓3.9b
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
6.8b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 41 to 17 computations (58.5% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite110.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1572×rational.json-1
1572×rational.json-2
1572×rational.json-4
1572×rational.json-3
1328×rational.json-simplify-35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01377
18977
220277
345965
497065
5242665
6505365
7722065
Stop Event
1×node limit
Counts
3 → 130
Calls
Call 1
Inputs
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) 2)
Outputs
((#(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 (cos.f64 (+.f64 x eps)) (-.f64 -2 (+.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) (+.f64 2 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) (-.f64 2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 2)))) (#(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 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(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 -1 (-.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 -2 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 -2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2)) -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 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -2) (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (neg.f64 (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (+.f64 (cos.f64 x) -2)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(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 (+.f64 x eps)) (cos.f64 x)) 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 x) (cos.f64 (+.f64 x eps)))) 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 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -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 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 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 (-.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)) (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 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4)) -8)))) (#(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 (cos.f64 (+.f64 x eps)) (+.f64 -2 (neg.f64 (cos.f64 x))))))) (#(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 2 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(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 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 0)))) (#(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 0 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -5 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2))))))) (#(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 -1 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2)) -4)))) (#(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 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2)))))) (#(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 -2 (neg.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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)))) (#(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 -5 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (-.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -3))))) (#(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 2 (-.f64 (*.f64 1/2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))) (#(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 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))) 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 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) (/.f64 (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 (cos.f64 (+.f64 x eps)) (-.f64 -2 (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) 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 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) (*.f64 (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 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))) 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 (cos.f64 (+.f64 x eps)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1)))))

simplify255.0ms (1%)

Algorithm
1×egg-herbie
Rules
1560×rational.json-simplify-35
1144×rational.json-simplify-1
1082×rational.json-simplify-45
1058×rational.json-simplify-51
812×rational.json-simplify-26
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03025846
16105742
213585582
329795456
448765454
555855454
665365454
772775454
880005454
Stop Event
1×node limit
Counts
202 → 259
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 (cos.f64 eps) 3)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 3)
(-.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)))) 3)
(-.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))))) 3)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 2 (cos.f64 x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (cos.f64 x) 2))
-2
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 2)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))) 2)
(-.f64 (+.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))))) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (+.f64 (cos.f64 x) 2))
(-.f64 (cos.f64 eps) 2)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 2)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) 2)
(-.f64 (+.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)))))) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2)
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 2)
(-.f64 (cos.f64 x) 2)
(-.f64 (+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) 2)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) 2)
(-.f64 (+.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)))))) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2)
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 2)
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (+.f64 (cos.f64 x) -2)))
(+.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) (+.f64 2 (neg.f64 (cos.f64 x))))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) (-.f64 2 (cos.f64 x)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2)))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 1 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)
(+.f64 -1 (-.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 -2 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2)) -2)
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (-.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(+.f64 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 1)
(+.f64 -3 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3))
(+.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -2) (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -2))
(+.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) -2))
(+.f64 (+.f64 -2 (neg.f64 (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) 2))
(+.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -3)
(+.f64 (-.f64 2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))
(+.f64 (-.f64 -2 (+.f64 (cos.f64 x) -2)) (cos.f64 (+.f64 x eps)))
(+.f64 (-.f64 -2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 2))
(+.f64 (-.f64 -1 (*.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 2 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -2))
(*.f64 2 (-.f64 (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(*.f64 (*.f64 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 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 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -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 -2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 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 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4) -4)
(/.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 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 4)) -8)
(/.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 (cos.f64 (+.f64 x eps)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))
(+.f64 2 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) (neg.f64 (cos.f64 x)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 0)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 0 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))))
(+.f64 1 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1))
(+.f64 1 (+.f64 -3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(+.f64 1 (+.f64 -5 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)
(+.f64 -1 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2)) -4)
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))
(+.f64 (-.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -3)
(+.f64 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(+.f64 -3 (-.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 -4 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) -2)))
(+.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 -2 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1) 1)
(+.f64 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)
(+.f64 (-.f64 -2 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 -5 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3))
(+.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (-.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -3))
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 1/2))
(*.f64 2 (-.f64 (*.f64 1/2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(*.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 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))) 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 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) (/.f64 (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 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))))
(*.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 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) (*.f64 (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 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))) 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 (cos.f64 (+.f64 x eps)) -2)
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 0)
(+.f64 -2 (cos.f64 (+.f64 x eps)))
(+.f64 0 (+.f64 (cos.f64 (+.f64 x eps)) -2))
(+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2))
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1)
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -2))
(*.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 4)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1)
(/.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 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 (+.f64 (cos.f64 eps) -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 (sin.f64 eps) (neg.f64 x)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(+.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)))))
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(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(+.f64 -5 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3))
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(+.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (-.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -3))
(+.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (-.f64 (-.f64 (cos.f64 x) -3) (cos.f64 (+.f64 eps x))))
(+.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (-.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) -3))
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 1/2))
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 2 (-.f64 (*.f64 1/2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(*.f64 2 (-.f64 (*.f64 1/2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 -1 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(neg.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))) 1/2)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(neg.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 4))
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 4 (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) (/.f64 (cos.f64 x) 4)))
(*.f64 4 (-.f64 (/.f64 (+.f64 -2 (cos.f64 (+.f64 eps x))) 4) (/.f64 (cos.f64 x) 4)))
(*.f64 4 (-.f64 (*.f64 (+.f64 -2 (cos.f64 (+.f64 eps x))) 1/4) (/.f64 (cos.f64 x) 4)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 4) 1/4)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 1/2 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))))
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 1/2) 2)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 4))
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 1/4 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) (*.f64 (cos.f64 x) 4)))
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 4) 4)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x)))) 2)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(/.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) -1)
(neg.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 4) 4)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) 8) 8)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 -2 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(/.f64 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) -2)
(neg.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 4) -4)
(neg.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.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 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.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)
(neg.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps 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 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.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 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.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 (neg.f64 (cos.f64 x))))
(+.f64 -2 (+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 -2 (cos.f64 x)))
(neg.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(neg.f64 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(+.f64 (cos.f64 (+.f64 x eps)) -2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 0)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(+.f64 -2 (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(+.f64 0 (+.f64 (cos.f64 (+.f64 x eps)) -2))
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2))
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2))
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) -2))
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)) 1/2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4))
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 1/4)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 1/2 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)))
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1/2) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4))
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 4)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) -2)) 2)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 4) 4)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8) 8)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8)) 16)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8))) 32)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 8)))) 64)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))
(pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) 1)
(-.f64 (cos.f64 (+.f64 eps x)) 2)
(+.f64 -2 (cos.f64 (+.f64 eps x)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)))
✓0.0b
(-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))
0.1b
(*.f64 eps (sin.f64 x))
✓2.7b
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))))
Compiler

Compiled 91 to 53 computations (41.8% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite114.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1704×rational.json-1
1704×rational.json-2
1320×rational.json-simplify-35
1136×exponential.json-3
1136×rational.json-4
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
016161
1121161
2260155
3560153
41148153
52444143
6470493
7751893
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))))
(-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2) (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4) (/.f64 (+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2)) (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 3 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 2)) (-.f64 1 (/.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4)) (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2) (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)) (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)))))

simplify249.0ms (1%)

Algorithm
1×egg-herbie
Rules
1778×rational.json-simplify-35
1678×rational.json-simplify-2
1302×rational.json-simplify-48
994×rational.json-simplify-51
922×rational.json-simplify-41
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02144807
14574707
29874659
324394547
447464539
551734409
656054409
761794409
875514409
979544409
Stop Event
1×node limit
Counts
161 → 175
Calls
Call 1
Inputs
(*.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 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)))
1/2
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) 1/2)
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) 1/2)
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) 1/2)
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps x)))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 1/12 (*.f64 eps (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (+.f64 (*.f64 -1/240 (*.f64 eps (pow.f64 x 5))) (*.f64 1/12 (*.f64 eps (pow.f64 x 3))))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(-.f64 1 (*.f64 1/2 (+.f64 1 (*.f64 eps (sin.f64 x)))))
(-.f64 1 (*.f64 1/2 (+.f64 1 (*.f64 eps (sin.f64 x)))))
(-.f64 1 (*.f64 1/2 (+.f64 1 (*.f64 eps (sin.f64 x)))))
(-.f64 1 (*.f64 1/2 (+.f64 1 (*.f64 eps (sin.f64 x)))))
-1
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
-1
(-.f64 (*.f64 -1 (*.f64 eps x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) 1)
(-.f64 (+.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))))) 1)
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 1 (*.f64 eps (sin.f64 x))))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
(*.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) 1))
(-.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) -1)
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 0)
(-.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))
(*.f64 1 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))
(*.f64 -1 (+.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2) (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))))
(*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/2))
(*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4) (/.f64 (+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2) 2)))
(*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1)
(*.f64 4 (/.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 4))
(*.f64 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/2)
(*.f64 1/2 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))
(*.f64 1/2 (+.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2)) (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3))))
(*.f64 (*.f64 2 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))) 1/4)
(*.f64 1/4 (*.f64 2 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))))
(*.f64 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/2) 2)
(*.f64 (/.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 4) 4)
(/.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1)
(/.f64 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 2)
(/.f64 (*.f64 2 (+.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))) 4)
(/.f64 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8)))) 64)
(pow.f64 (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1)
(+.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))
(+.f64 -1 (+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2))
(+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)
(+.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 0)
(+.f64 0 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2))
(+.f64 (+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2) -1)
(+.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 1)
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2))
(+.f64 -2 (-.f64 3 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 2)) (-.f64 1 (/.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 2)))
(*.f64 1 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2))
(*.f64 -1 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))
(*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2))
(*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1)
(*.f64 4 (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4))
(*.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)) 1/2)
(*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) -1)
(*.f64 1/2 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4) 1/4)
(*.f64 1/4 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2) 2)
(*.f64 (/.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 2) -2)
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4) 4)
(/.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1)
(/.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)) 2)
(/.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) -1)
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 4) 4)
(/.f64 (*.f64 2 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))) -2)
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8) 8)
(/.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4) -4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8)) 16)
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4)) -8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8))) 32)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4)) 4)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4)) (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4))) 8)
(pow.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1)
(neg.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))
(-.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 0)
(-.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))
(*.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))
(*.f64 -1 (+.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))
(*.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2) (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))))
(*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))
(*.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4)))
(*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2)))
(*.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2) -2)
(*.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)
(*.f64 4 (/.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2))
(*.f64 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1/2)
(*.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2)
(*.f64 1/2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))
(*.f64 1/2 (+.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)) (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3))))
(*.f64 1/2 (+.f64 (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2))))
(*.f64 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/4)
(*.f64 1/4 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2) 4)
(/.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)
(/.f64 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 2)
(/.f64 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 4)
(/.f64 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8)
(/.f64 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))))) 64)
(pow.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.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 -1 (*.f64 eps x)) (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (*.f64 1/6 (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 eps (*.f64 (pow.f64 x 3) 1/6)) (*.f64 eps (*.f64 (pow.f64 x 5) -1/120))))
(+.f64 (*.f64 eps (neg.f64 x)) (+.f64 (*.f64 eps (*.f64 1/6 (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 eps (+.f64 (neg.f64 x) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (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 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 5) -1/120)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/6)) (*.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 eps (*.f64 1/6 (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 (neg.f64 x)) (*.f64 eps (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
1/2
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) 1/2)
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) 1/2)
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) 1/2)
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) -1/2))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) -1/2))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 eps x)))
(+.f64 1/2 (*.f64 eps (*.f64 x -1/2)))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 1/12 (*.f64 eps (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (*.f64 eps (*.f64 x -1/2)) (*.f64 eps (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 1/2 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 x -1/2))))
(+.f64 1/2 (*.f64 eps (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (+.f64 (*.f64 -1/240 (*.f64 eps (pow.f64 x 5))) (*.f64 1/12 (*.f64 eps (pow.f64 x 3))))))
(+.f64 1/2 (+.f64 (*.f64 eps (*.f64 x -1/2)) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/12)) (*.f64 eps (*.f64 (pow.f64 x 5) -1/240)))))
(+.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/12)) (*.f64 eps (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 x 5) -1/240)))))
(+.f64 1/2 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 5) -1/240) (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12)))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 1 (*.f64 1/2 (+.f64 1 (*.f64 eps (sin.f64 x)))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 1 (*.f64 1/2 (+.f64 1 (*.f64 eps (sin.f64 x)))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 1 (*.f64 1/2 (+.f64 1 (*.f64 eps (sin.f64 x)))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 1 (*.f64 1/2 (+.f64 1 (*.f64 eps (sin.f64 x)))))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
-1
(-.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) 1)
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(+.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2))
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4)) 4)
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 8)))) 64)
(+.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2))
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4)) (neg.f64 (*.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) 4))) 8)
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(pow.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1)
(+.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2))
(neg.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)))
(-.f64 1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 -1/2 (+.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 0)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(-.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))
(-.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2) (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)))
(*.f64 1 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 -1 (+.f64 (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2)) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))
(*.f64 -1 (+.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1))) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))
(neg.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)) (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2) -1)))
(neg.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)) (+.f64 -1 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2))))
(neg.f64 (+.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2))))
(-.f64 1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))
(neg.f64 (+.f64 (*.f64 1/2 (+.f64 -1 (*.f64 eps (sin.f64 x)))) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))
(*.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2) (+.f64 -1 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2))))
(*.f64 -1 (+.f64 (+.f64 -1 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1))) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))
(neg.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)) (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2) -1)))
(neg.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)) (+.f64 -1 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2))))
(neg.f64 (+.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2))))
(-.f64 1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (sin.f64 x)) 1)) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))
(neg.f64 (+.f64 (*.f64 1/2 (+.f64 -1 (*.f64 eps (sin.f64 x)))) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) 2)))
(*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2) (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4)))
(*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4) (*.f64 1/2 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2)))))
(*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4) (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2) 1/2)))
(*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -4) (*.f64 1/2 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2)))))
(*.f64 (*.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1/2) -2)
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) -1)
(+.f64 -1 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 4 (/.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2))
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1/2)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 1/2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 1/2 (+.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2)) (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3))))
(*.f64 1/2 (+.f64 (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 2 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2)))))
(*.f64 1/2 (+.f64 (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2) 2))))
(*.f64 1/2 (+.f64 (neg.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 2 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 3) -2)))))
(*.f64 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 1/4)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 1/4 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2) 2) 4)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(/.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(/.f64 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 2)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(/.f64 (*.f64 2 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 4)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(/.f64 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))) 8)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(/.f64 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))) 16)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) 32)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2))))) (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 4 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)))))) 64)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))
(pow.f64 (*.f64 2 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) -2)) 1)
(*.f64 2 (/.f64 (+.f64 (*.f64 eps (sin.f64 x)) 1) -2))

eval626.0ms (2.4%)

Compiler

Compiled 16553 to 10448 computations (36.9% saved)

prune621.0ms (2.4%)

Pruning

42 alts after pruning (32 fresh and 10 done)

PrunedKeptTotal
New84014854
Fresh91827
Picked101
Done31013
Total85342895
Error
15.9b
Counts
895 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
39.3b
(-.f64 (-.f64 (-.f64 (cos.f64 eps) 2) (cos.f64 x)) -2)
40.1b
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1) (+.f64 (cos.f64 x) -1))
40.2b
(-.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2)) -2)
39.6b
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
39.1b
(-.f64 (-.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 x) -1))
54.8b
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
40.1b
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
40.2b
(-.f64 (+.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (-.f64 (-.f64 (cos.f64 x) -3) (cos.f64 (+.f64 eps x)))) -2)
40.3b
(-.f64 (+.f64 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) -2)
40.2b
(-.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1) 1) -2)
54.9b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -2 (*.f64 eps (sin.f64 x)))) -2)
✓40.0b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓39.1b
(-.f64 (cos.f64 eps) (cos.f64 x))
✓39.4b
(-.f64 (cos.f64 eps) 1)
54.0b
(-.f64 1 (cos.f64 x))
40.1b
(+.f64 (-.f64 2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))
49.0b
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 -1/2 (pow.f64 eps 2)))
52.7b
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
33.9b
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
34.1b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
39.7b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
✓33.6b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
✓33.7b
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
39.4b
(+.f64 (*.f64 (cos.f64 eps) 1/2) (+.f64 (*.f64 (cos.f64 eps) 1/2) -1))
46.1b
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
✓49.5b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
49.7b
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
✓41.3b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
40.1b
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (cos.f64 x)))
✓54.8b
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
55.5b
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
54.8b
(+.f64 1 (+.f64 (-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1) 1))
39.5b
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
55.5b
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 1))
55.4b
(+.f64 1 (+.f64 (+.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))))) -1))
55.1b
(+.f64 1 (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 -1 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
54.9b
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -1 (*.f64 eps (sin.f64 x)))))
✓55.1b
(+.f64 1 -1)
39.5b
(*.f64 (sin.f64 x) (neg.f64 eps))
✓52.2b
(*.f64 eps (neg.f64 x))
40.1b
(*.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))))
49.1b
(*.f64 -1/2 (pow.f64 eps 2))
Compiler

Compiled 590 to 461 computations (21.9% saved)

regimes1.1s (4.1%)

Counts
64 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 1 (-.f64 (cos.f64 eps) 2))
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
(+.f64 1 (+.f64 (-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.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) 1) (+.f64 (cos.f64 x) -1))
(-.f64 (-.f64 (-.f64 (cos.f64 eps) 2) (cos.f64 x)) -2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (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 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (-.f64 2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
(-.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2)) -2)
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
(+.f64 1 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2))
(+.f64 1 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 x) -1)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (-.f64 (+.f64 (cos.f64 x) -2) -1))
(-.f64 (+.f64 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) -2)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1) (+.f64 (cos.f64 x) -1))
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
(-.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1) 1) -2)
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))))
(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.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 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.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 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -2 (*.f64 eps (sin.f64 x)))) -2)
(*.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.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 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (-.f64 1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)))
(+.f64 1 (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 -1 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
(-.f64 (+.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (-.f64 (-.f64 (cos.f64 x) -3) (cos.f64 (+.f64 eps x)))) -2)
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.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 (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 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 1 (+.f64 (+.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))))) -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 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

632.0ms
eps
287.0ms
x
118.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
27.4b3x
17.3b3eps
19.3b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 849 to 487 computations (42.6% saved)

bsearch161.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
89.0ms
0.04392022025611797
96.7708169105283
72.0ms
-41.542181644892274
-0.00564222146071794
Results
58.0ms136×body256valid
30.0ms82×body1024valid
8.0ms31×body512valid
5.0ms7×body2048valid
Compiler

Compiled 606 to 474 computations (21.8% saved)

regimes455.0ms (1.8%)

Counts
61 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 1 (-.f64 (cos.f64 eps) 2))
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
(+.f64 1 (+.f64 (-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.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) 1) (+.f64 (cos.f64 x) -1))
(-.f64 (-.f64 (-.f64 (cos.f64 eps) 2) (cos.f64 x)) -2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (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 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (-.f64 2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
(-.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2)) -2)
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
(+.f64 1 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2))
(+.f64 1 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 x) -1)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (-.f64 (+.f64 (cos.f64 x) -2) -1))
(-.f64 (+.f64 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) -2)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1) (+.f64 (cos.f64 x) -1))
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
(-.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1) 1) -2)
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))))
(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.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 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.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 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -2 (*.f64 eps (sin.f64 x)))) -2)
(*.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.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 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (-.f64 1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)))
(+.f64 1 (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 -1 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
(-.f64 (+.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (-.f64 (-.f64 (cos.f64 x) -3) (cos.f64 (+.f64 eps x)))) -2)
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.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))))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.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 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

213.0ms
x
160.0ms
eps
29.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
27.4b3x
17.4b3eps
19.3b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 767 to 432 computations (43.7% saved)

bsearch77.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
38.0ms
0.04392022025611797
96.7708169105283
39.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
31.0ms82×body1024valid
24.0ms153×body256valid
8.0ms32×body512valid
3.0ms5×body2048valid
Compiler

Compiled 592 to 435 computations (26.5% saved)

regimes370.0ms (1.4%)

Counts
60 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 1 (-.f64 (cos.f64 eps) 2))
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
(+.f64 1 (+.f64 (-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.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) 1) (+.f64 (cos.f64 x) -1))
(-.f64 (-.f64 (-.f64 (cos.f64 eps) 2) (cos.f64 x)) -2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (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 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (-.f64 2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
(-.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2)) -2)
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
(+.f64 1 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2))
(+.f64 1 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 x) -1)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (-.f64 (+.f64 (cos.f64 x) -2) -1))
(-.f64 (+.f64 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) -2)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1) (+.f64 (cos.f64 x) -1))
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
(-.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1) 1) -2)
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))))
(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.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 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.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 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -2 (*.f64 eps (sin.f64 x)))) -2)
(*.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.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 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (-.f64 1 (/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)))
(+.f64 1 (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (+.f64 -1 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
(-.f64 (+.f64 (-.f64 -1 (*.f64 2 (+.f64 2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (-.f64 (-.f64 (cos.f64 x) -3) (cos.f64 (+.f64 eps x)))) -2)
(+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

244.0ms
x
77.0ms
eps
31.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
27.4b3x
17.4b3eps
19.3b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 744 to 420 computations (43.5% saved)

bsearch248.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
126.0ms
0.04392022025611797
96.7708169105283
122.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
114.0ms77×body1024valid
113.0ms148×body256valid
9.0ms35×body512valid
8.0ms12×body2048valid
Compiler

Compiled 524 to 401 computations (23.5% saved)

regimes386.0ms (1.5%)

Counts
53 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 1 (-.f64 (cos.f64 eps) 2))
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
(+.f64 1 (+.f64 (-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.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) 1) (+.f64 (cos.f64 x) -1))
(-.f64 (-.f64 (-.f64 (cos.f64 eps) 2) (cos.f64 x)) -2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (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 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (-.f64 2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
(-.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2)) -2)
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
(+.f64 1 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2))
(+.f64 1 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 x) -1)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (-.f64 (+.f64 (cos.f64 x) -2) -1))
(-.f64 (+.f64 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) -2)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1) (+.f64 (cos.f64 x) -1))
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
(-.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1) 1) -2)
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))))
(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.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 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.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 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (-.f64 -2 (*.f64 eps (sin.f64 x)))) -2)
(*.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps 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 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

202.0ms
eps
135.0ms
x
34.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
27.4b3x
17.4b3eps
19.3b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 586 to 330 computations (43.7% saved)

bsearch99.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
59.0ms
0.04392022025611797
96.7708169105283
39.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
60.0ms83×body1024valid
24.0ms162×body256valid
6.0ms22×body512valid
3.0ms5×body2048valid
Compiler

Compiled 439 to 333 computations (24.1% saved)

regimes314.0ms (1.2%)

Counts
47 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 1 (-.f64 (cos.f64 eps) 2))
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
(+.f64 1 (+.f64 (-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.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) 1) (+.f64 (cos.f64 x) -1))
(-.f64 (-.f64 (-.f64 (cos.f64 eps) 2) (cos.f64 x)) -2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (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 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (-.f64 2 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) -2))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (+.f64 (cos.f64 x) -1))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 2)
(-.f64 (-.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) 2)) -2)
(-.f64 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 x)) -2)
(+.f64 1 (-.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -3) -2))
(+.f64 1 (-.f64 (-.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 x) -1)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (-.f64 (+.f64 (cos.f64 x) -2) -1))
(-.f64 (+.f64 (-.f64 -4 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) -2)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -2) -1) (+.f64 (cos.f64 x) -1))
(+.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) eps))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (-.f64 1 (*.f64 (pow.f64 eps 2) 1/2))))
(-.f64 (+.f64 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -2 (cos.f64 x))) -1) 1) -2)
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/6)) (*.f64 eps (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2)) (-.f64 1 (/.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 2))))
(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

158.0ms
x
117.0ms
eps
26.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
27.5b3x
17.5b3eps
19.4b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 485 to 273 computations (43.7% saved)

bsearch133.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
0.04392022025611797
96.7708169105283
99.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
36.0ms90×body1024valid
22.0ms144×body256valid
8.0ms33×body512valid
5.0ms5×body2048valid
Compiler

Compiled 388 to 299 computations (22.9% saved)

regimes474.0ms (1.8%)

Counts
29 → 4
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 1 (-.f64 (cos.f64 eps) 2))
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
(+.f64 1 (+.f64 (-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+.f64 -2 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) 2)))
(+.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) 1) (+.f64 (cos.f64 x) -1))
(-.f64 (-.f64 (-.f64 (cos.f64 eps) 2) (cos.f64 x)) -2)
(+.f64 -2 (-.f64 (cos.f64 (+.f64 x eps)) (-.f64 (cos.f64 x) 2)))
(+.f64 1 (+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1))
(+.f64 1 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) -1) (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))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

327.0ms
x
50.0ms
eps
19.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
26.9b5x
22.4b4eps
25.1b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 245 to 144 computations (41.2% saved)

bsearch205.0ms (0.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
97.0ms
0.002173803585518828
0.04392022025611797
67.0ms
2.180261662272179e-73
3.1711511905598853e-65
40.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
91.0ms133×body256valid
65.0ms165×body1024valid
23.0ms30×body2048valid
19.0ms72×body512valid
Compiler

Compiled 494 to 374 computations (24.3% saved)

regimes218.0ms (0.8%)

Counts
16 → 4
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 1 (-.f64 (cos.f64 eps) 2))
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (+.f64 -2 (*.f64 eps (neg.f64 (sin.f64 x)))) 1))
(+.f64 1 (+.f64 (-.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) -1) 1) 1))
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

107.0ms
x
37.0ms
eps
Results
ErrorSegmentsBranch
27.0b5x
23.0b4eps
Compiler

Compiled 119 to 79 computations (33.6% saved)

bsearch428.0ms (1.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
170.0ms
7.704227234499644e-7
0.002173803585518828
182.0ms
2.180261662272179e-73
3.1711511905598853e-65
75.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
120.0ms116×body1024valid
111.0ms161×body256valid
76.0ms28×body2048valid
27.0ms111×body512valid
Compiler

Compiled 498 to 390 computations (21.7% saved)

regimes110.0ms (0.4%)

Counts
13 → 4
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 1 (-.f64 (cos.f64 eps) 2))
(-.f64 (-.f64 (cos.f64 eps) 3) -2)
(+.f64 1 (+.f64 (-.f64 (cos.f64 eps) 1) -1))
(+.f64 1 (-.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (-.f64 -2 (*.f64 eps (sin.f64 x))) -2)
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

78.0ms
x
29.0ms
eps
Results
ErrorSegmentsBranch
28.0b3x
23.1b4eps
Compiler

Compiled 85 to 58 computations (31.8% saved)

bsearch235.0ms (0.9%)

Algorithm
3×binary-search
Steps
TimeLeftRight
91.0ms
0.002173803585518828
0.04392022025611797
55.0ms
2.180261662272179e-73
3.1711511905598853e-65
88.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
84.0ms122×body1024valid
79.0ms116×body512valid
44.0ms131×body256valid
20.0ms31×body2048valid
Compiler

Compiled 398 to 326 computations (18.1% saved)

regimes29.0ms (0.1%)

Counts
7 → 5
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 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 eps (neg.f64 x))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

23.0ms
eps
5.0ms
x
Results
ErrorSegmentsBranch
39.4b1x
31.5b5eps
Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch470.0ms (1.8%)

Algorithm
4×binary-search
Steps
TimeLeftRight
32.0ms
0.002173803585518828
0.04392022025611797
165.0ms
6.506193229916865e-171
2.865758372239886e-167
168.0ms
-3.1418366481140976e-164
-1.7204824021015263e-169
105.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
214.0ms185×body2048valid
156.0ms178×body1024valid
22.0ms140×body256valid
7.0ms25×body512valid
Compiler

Compiled 509 to 422 computations (17.1% saved)

regimes24.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 1))
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 eps (neg.f64 x))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

17.0ms
eps
5.0ms
x
Results
ErrorSegmentsBranch
39.4b1x
36.2b3eps
Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch77.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
1.3953965788801808e-11
7.704227234499644e-7
41.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
34.0ms87×body1024valid
20.0ms146×body256valid
11.0ms28×body512valid
8.0ms11×body2048valid
Compiler

Compiled 252 to 197 computations (21.8% saved)

regimes16.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 1))
(-.f64 1 (cos.f64 x))
Outputs
(-.f64 1 (cos.f64 x))
(*.f64 eps (neg.f64 x))
Calls

2 calls:

9.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
52.2b1x
51.1b2eps
Compiler

Compiled 35 to 25 computations (28.6% saved)

bsearch39.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
39.0ms
-0.00564222146071794
-1.0281830448857238e-10
Results
13.0ms85×body256valid
11.0ms31×body1024valid
6.0ms25×body512valid
3.0ms3×body2048valid
Compiler

Compiled 140 to 109 computations (22.1% saved)

regimes9.0ms (0%)

Accuracy

Total -3.8b remaining (-7.2%)

Threshold costs -3.8b (-7.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 eps (neg.f64 x))
(+.f64 1 (-.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 eps x)) 1))
Outputs
(*.f64 eps (neg.f64 x))
Calls

2 calls:

4.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
52.2b1x
52.2b1eps
Compiler

Compiled 31 to 22 computations (29% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121983
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -7349874591868649/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1170935903116329/9007199254740992) (+.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) (cos.f64 x))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3242591731706757/72057594037927936) (+.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 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3314649325744685/72057594037927936) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3242591731706757/72057594037927936) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8214565720323785/144115188075855872) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4486248158726163/1180591620717411303424) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8081502591659033/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5072854620270127/2305843009213693952) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8264141345021879/4722366482869645213696) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5160214244974593/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2582544170319337/36893488147419103232) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7673845534663173/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5160214244974593/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5072854620270127/2305843009213693952) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -2009921603676731/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (*.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 7435931899434739/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (*.f64 eps (neg.f64 x)) (if (<=.f64 eps 5072854620270127/2305843009213693952) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -1450710983537555/151115727451828646838272) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5415987671873539/38685626227668133590597632) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1450710983537555/2417851639229258349412352) (-.f64 1 (cos.f64 x)) (*.f64 eps (neg.f64 x)))
(*.f64 eps (neg.f64 x))
(+.f64 1 -1)
Outputs
(if (<=.f64 eps -7349874591868649/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1170935903116329/9007199254740992) (+.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) (cos.f64 x))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3242591731706757/72057594037927936) (+.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 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3314649325744685/72057594037927936) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3242591731706757/72057594037927936) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8214565720323785/144115188075855872) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4486248158726163/1180591620717411303424) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8081502591659033/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5072854620270127/2305843009213693952) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8264141345021879/4722366482869645213696) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5160214244974593/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2582544170319337/36893488147419103232) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7673845534663173/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5160214244974593/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5072854620270127/2305843009213693952) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -2009921603676731/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (*.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 7435931899434739/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (*.f64 eps (neg.f64 x)) (if (<=.f64 eps 5072854620270127/2305843009213693952) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -1450710983537555/151115727451828646838272) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5415987671873539/38685626227668133590597632) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1450710983537555/2417851639229258349412352) (-.f64 1 (cos.f64 x)) (*.f64 eps (neg.f64 x)))
(*.f64 eps (neg.f64 x))
(+.f64 1 -1)
0
Compiler

Compiled 386 to 253 computations (34.5% saved)

soundness180.0ms (0.7%)

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)

end142.0ms (0.5%)

Compiler

Compiled 362 to 181 computations (50% saved)

Profiling

Loading profile data...