Details

Time bar (total: 8.6s)

analyze183.0ms (2.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.4s (15.9%)

Results
585.0ms2003×body1024valid
552.0ms5221×body256valid
212.0ms1026×body512valid
2.0msbody2048valid
Bogosity

preprocess98.0ms (1.1%)

Algorithm
egg-herbie
Rules
1894×rational.json-simplify-35
1348×rational.json-simplify-53
1028×rational.json-simplify-39
864×rational.json-simplify-59
560×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
12147
23847
39147
432847
5238447
6658247
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify92.0ms (1.1%)

Algorithm
egg-herbie
Rules
1894×rational.json-simplify-35
1348×rational.json-simplify-53
1028×rational.json-simplify-39
864×rational.json-simplify-59
560×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
12147
23847
39147
432847
5238447
6658247
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 16 to 8 computations (50% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 39 to 13 computations (66.7% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite95.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1612×rational.json-1
1612×rational.json-2
1612×rational.json-4
1612×rational.json-3
1598×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010104
180104
2212104
3532104
41795104
55545104
Stop Event
node limit
Counts
4 → 181
Calls
Call 1
Inputs
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
Outputs
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simplify118.0ms (1.4%)

Algorithm
egg-herbie
Rules
1076×rational.json-simplify-35
1000×rational.json-simplify-61
830×rational.json-simplify-49
682×rational.json-simplify-46
658×rational.json-simplify-44
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03945819
112715801
262915801
Stop Event
node limit
Counts
229 → 236
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(-.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(-.f64 0 (-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (tan.f64 x) (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(/.f64 1 (/.f64 (/.f64 (*.f64 (tan.f64 x) 2) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 2))
(/.f64 1 (/.f64 (/.f64 (*.f64 (tan.f64 x) 4) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 4))
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(/.f64 2 (/.f64 (*.f64 (tan.f64 x) 2) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))))
(/.f64 2 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) 2) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
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(*.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 1/2)
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(*.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 1/4 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4) 8)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2) -2)
(/.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4)) 16)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 0)
(+.f64 0 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(-.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 0)
(*.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
(*.f64 -1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 1/2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1/2))
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 2))
(*.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) 1/2)
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 1/2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1/2) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) 2)
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 2) 2)
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 0)
(-.f64 0 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(*.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1)
(*.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 1/2)
(*.f64 2 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 2))
(*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4) 1/4)
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(*.f64 1/2 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 2) 2)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1)
(/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4) 4)
(/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(/.f64 (*.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 4) 8)
(/.f64 (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) -2)
(/.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 4)) 16)
(pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1)
(neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8)))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 62/315 (pow.f64 x 8))) (*.f64 2/3 (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1) (*.f64 (pow.f64 x 4) -2/3)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -2/3)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 (*.f64 (pow.f64 x 4) -2/3) (+.f64 (*.f64 (pow.f64 x 2) -1) (+.f64 (*.f64 (pow.f64 x 6) -17/45) 1)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) -2/3) (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) -17/45))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) -2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 (pow.f64 x 2) -2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 (+.f64 1 (*.f64 (pow.f64 x 6) -4/45)) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 17/45 (pow.f64 x 6)) 1) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 0 (-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (tan.f64 x) (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 (/.f64 (*.f64 (tan.f64 x) 2) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
(/.f64 1 (/.f64 (/.f64 (*.f64 (tan.f64 x) 4) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))) 4))
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(*.f64 2 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 2))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4) 1/4)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1/2 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 2) 2)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 2)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4) 4)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 4) 8)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) -2)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 4)) 16)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

eval103.0ms (1.2%)

Compiler

Compiled 9913 to 3963 computations (60% saved)

prune69.0ms (0.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New34416360
Fresh000
Picked011
Done000
Total34417361
Error
0.2b
Counts
361 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.5b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
29.9b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
27.9b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
30.8b
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
Compiler

Compiled 648 to 400 computations (38.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
4.8b
(/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
Compiler

Compiled 86 to 17 computations (80.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
0.0ms
x
@0
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
0.0ms
x
@-inf
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
0.0ms
x
@inf
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
0.0ms
x
@-inf
(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x))))

rewrite91.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
2148×rational.json-1
2148×rational.json-2
2148×rational.json-3
910×rational.json-simplify-46
800×rational.json-simplify-40
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011111
189111
225055
396355
4577355
Stop Event
node limit
Counts
3 → 147
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (*.f64 -1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) 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simplify118.0ms (1.4%)

Algorithm
egg-herbie
Rules
1166×rational.json-simplify-59
1040×rational.json-simplify-19
824×rational.json-simplify-39
600×rational.json-simplify-35
558×rational.json-simplify-43
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03434263
110424207
243094065
376354065
Stop Event
node limit
Counts
183 → 214
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (fabs.f64 (tan.f64 x)) x)
(+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3))))
(+.f64 (*.f64 2/15 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 5))) (+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3)))))
(+.f64 (*.f64 17/315 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 7))) (+.f64 (*.f64 2/15 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 5))) (+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3))))))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
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(/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 4) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 4)) 8)
(pow.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 1)
(+.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(*.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8)))))
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 62/315 (pow.f64 x 8))) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 62/315 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (fabs.f64 (tan.f64 x)) x)
(*.f64 x (fabs.f64 (tan.f64 x)))
(+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3))))
(+.f64 (*.f64 x (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 (fabs.f64 (tan.f64 x)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/15 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 5))) (+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3)))))
(+.f64 (*.f64 x (fabs.f64 (tan.f64 x))) (+.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (pow.f64 x 5) 2/15))))
(+.f64 (*.f64 (fabs.f64 (tan.f64 x)) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))) (*.f64 2/15 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 5))))
(*.f64 (fabs.f64 (tan.f64 x)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 (*.f64 17/315 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 7))) (+.f64 (*.f64 2/15 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 5))) (+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3))))))
(+.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (pow.f64 x 5) 2/15)) (+.f64 (+.f64 (*.f64 x (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (pow.f64 x 7) 17/315))))
(+.f64 (*.f64 (fabs.f64 (tan.f64 x)) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))) (+.f64 (*.f64 2/15 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 5))) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 17/315 (pow.f64 x 7)))))
(+.f64 (*.f64 (fabs.f64 (tan.f64 x)) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (fabs.f64 (tan.f64 x)) (+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (fabs.f64 (tan.f64 x)) (cos.f64 x)))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1) (*.f64 (pow.f64 x 4) -2/3)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -2/3)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 (*.f64 (pow.f64 x 4) -2/3) (+.f64 (*.f64 (pow.f64 x 2) -1) (+.f64 (*.f64 (pow.f64 x 6) -17/45) 1)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) -2/3) (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) -17/45))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 6) -17/45) (*.f64 (pow.f64 x 4) -2/3))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 4) -2/3) (*.f64 (pow.f64 x 6) -17/45))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (*.f64 -1 (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))))))
(*.f64 (tan.f64 x) (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))) (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) 2)))) (/.f64 1/2 (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)) (/.f64 1/2 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (*.f64 2 (fabs.f64 (tan.f64 x)))) (/.f64 1/2 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (/.f64 1/2 (fabs.f64 (tan.f64 x))) (*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) 2)))) (fabs.f64 (/.f64 1/2 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)) (/.f64 1/2 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (*.f64 2 (fabs.f64 (tan.f64 x)))) (/.f64 1/2 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (/.f64 1/2 (fabs.f64 (tan.f64 x))) (*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) 2)))) (*.f64 (/.f64 1/2 (fabs.f64 (tan.f64 x))) 1))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)) (/.f64 1/2 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (*.f64 2 (fabs.f64 (tan.f64 x)))) (/.f64 1/2 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (/.f64 1/2 (fabs.f64 (tan.f64 x))) (*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) 2)))) (*.f64 1/2 (/.f64 1 (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2))) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 1/2))
(*.f64 (*.f64 (tan.f64 x) (*.f64 2 (fabs.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 1/2)))
(*.f64 (*.f64 2 (tan.f64 x)) (*.f64 (tan.f64 x) 1/2))
(*.f64 (fabs.f64 (*.f64 (tan.f64 x) 2)) (fabs.f64 (/.f64 (tan.f64 x) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (*.f64 (tan.f64 x) 2)) (*.f64 1/2 (fabs.f64 (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2))) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 1/2))
(*.f64 (*.f64 (tan.f64 x) (*.f64 2 (fabs.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 1/2)))
(*.f64 (*.f64 2 (tan.f64 x)) (*.f64 (tan.f64 x) 1/2))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) 2))
(*.f64 (*.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) 2))
(*.f64 2 (*.f64 (/.f64 (tan.f64 x) 2) (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (tan.f64 x) 2) 1))
(*.f64 (*.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) 2))
(*.f64 2 (*.f64 (/.f64 (tan.f64 x) 2) (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 2) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (tan.f64 x) 2)) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 2 (tan.f64 x))))
(*.f64 (*.f64 2 (tan.f64 x)) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) 2))))
(*.f64 (tan.f64 x) (*.f64 2 (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (fabs.f64 (tan.f64 x)) (*.f64 2 (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (fabs.f64 (/.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) 2)))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2))) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 1/2))
(*.f64 (*.f64 (tan.f64 x) (*.f64 2 (fabs.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 1/2)))
(*.f64 (*.f64 2 (tan.f64 x)) (*.f64 (tan.f64 x) 1/2))
(*.f64 (*.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) 2))) (/.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) 2))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)))
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(fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 0)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(+.f64 0 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 0)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 1)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) 2) (/.f64 2 (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (fabs.f64 (*.f64 (tan.f64 x) 2))) 2)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (neg.f64 (tan.f64 x)) (-.f64 0 (/.f64 1 (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 4) 4)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 4) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 4)) 8)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 1)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(+.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (pow.f64 x 2))
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite254.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
2282×rational.json-simplify-35
1826×rational.json-simplify-2
1308×rational.json-simplify-1
1176×exponential.json-3
1176×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
14513
29513
317913
431613
567813
6160613
7266013
8325113
9395813
10478213
11526913
12535213
13547413
14560513
15616013
16727913
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(*.f64 -2 (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (*.f64 2 (+.f64 (pow.f64 x 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 2 (pow.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (pow.f64 x 2)))))))

simplify262.0ms (3.1%)

Algorithm
egg-herbie
Rules
2276×rational.json-simplify-2
1758×rational.json-simplify-35
972×rational.json-simplify-48
960×rational.json-simplify-43
800×rational.json-simplify-1
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
0991189
12581037
24701037
311881037
432511037
546191037
648921037
751121037
853551037
956111037
1058981037
116147581
126733581
137735581
Stop Event
node limit
Counts
41 → 44
Calls
Call 1
Inputs
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -2 (pow.f64 x 2)))
(+.f64 -1 (-.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))
(+.f64 -3 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) -1)
(+.f64 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -2)
(+.f64 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -3)
(-.f64 -2 (*.f64 2 (+.f64 (pow.f64 x 2) -1)))
(-.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(-.f64 1 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (*.f64 2 (pow.f64 x 2)) -1))
(-.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) 1)
(/.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) -1)
(/.f64 (*.f64 (pow.f64 x 2) -4) 2)
(/.f64 (*.f64 (pow.f64 x 2) 4) -2)
(/.f64 (*.f64 (pow.f64 x 2) -8) 4)
(/.f64 (*.f64 (pow.f64 x 2) -16) 8)
(/.f64 (*.f64 (pow.f64 x 2) 8) -4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -8)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -16)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))) 64)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))) 128)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))))) 256)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))))) 512)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 64)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))))) 128)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))))))) 1024)
(pow.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 2 (pow.f64 x 2)))
Outputs
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 0 (*.f64 -2 (pow.f64 x 2)))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 -3 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) -1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -2)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))) -3)
(+.f64 -3 (-.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(-.f64 -2 (*.f64 2 (+.f64 (pow.f64 x 2) -1)))
(-.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 1 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 -1 (+.f64 (*.f64 2 (pow.f64 x 2)) -1))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (-.f64 1 (*.f64 2 (pow.f64 x 2))) 1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -4) 2)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) -2)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -8) 4)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -16) 8)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 8) -4)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -8)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -16)) 16)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))) 32)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -16)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -32)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))) 64)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 8)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))) 128)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 16)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -64)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))))) 256)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 32)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -128)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))))) 512)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 64)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))))) 128)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -16)))))))) 1024)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(pow.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))
(neg.f64 (*.f64 2 (pow.f64 x 2)))
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) -2))
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 -2 (pow.f64 x 2))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.2b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
0.2b
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 51 to 20 computations (60.8% saved)

series12.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
2.0ms
x
@-inf
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
1.0ms
x
@inf
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
1.0ms
x
@-inf
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
1.0ms
x
@inf
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))

rewrite79.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1480×rational.json-1
1480×rational.json-2
1480×rational.json-4
1480×rational.json-3
1470×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012101
19695
222295
350795
4165095
5508495
Stop Event
node limit
Counts
3 → 64
Calls
Call 1
Inputs
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)) (/.f64 1 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)))))

simplify118.0ms (1.4%)

Algorithm
egg-herbie
Rules
1100×rational.json-simplify-51
934×rational.json-simplify-2
848×rational.json-simplify-35
834×rational.json-simplify-41
760×rational.json-simplify-46
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01733964
14483948
212993948
338653948
470223948
Stop Event
node limit
Counts
100 → 108
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
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-1
(-.f64 (pow.f64 x 2) 1)
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(-.f64 (+.f64 (*.f64 2/45 (pow.f64 x 6)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))) 1)
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
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(/.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4)
(/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)) 1/2)
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(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4)) (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4))) 16)
(/.f64 (+.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4))
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(*.f64 2 (/.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(*.f64 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(*.f64 1/2 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(pow.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(+.f64 (pow.f64 x 2) (-.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
(+.f64 -1 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))) (-.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
(+.f64 -1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) -2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 (pow.f64 x 2) -2)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -2) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) -2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) -4/45) (*.f64 (pow.f64 x 2) -2))))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) -4/45) (*.f64 2/3 (pow.f64 x 4)))))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) -4/45))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(+.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 4) -1/3) 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 4) -1/3) -1))
(+.f64 (pow.f64 x 2) (+.f64 -1 (*.f64 (pow.f64 x 4) -1/3)))
(-.f64 (+.f64 (*.f64 2/45 (pow.f64 x 6)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))) 1)
(+.f64 (+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 2/45))) -1)
(+.f64 -1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 2/45) (*.f64 (pow.f64 x 4) -1/3))))
(+.f64 -1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 4) -1/3) (*.f64 (pow.f64 x 6) 2/45))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 0)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 2 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 1/2)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) 4)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) 8)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4))) 16)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 -2 (neg.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 4 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 4 (/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 4 (+.f64 (/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4) 4)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 8 (+.f64 (/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 8 (+.f64 (*.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) (*.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (*.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4)) 8)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)) 1/2)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2)) (neg.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 8)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4)) (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4))) 16)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 4))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2)) (neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (*.f64 2 (neg.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) (neg.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))) (neg.f64 (neg.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 1 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)) (/.f64 1 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2)))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 2 (/.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1/2 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(pow.f64 (sin.f64 x) 2)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.3b
(pow.f64 (cos.f64 x) 2)
Compiler

Compiled 69 to 35 computations (49.3% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite84.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1612×rational.json-simplify-35
1126×exponential.json-3
1126×rational.json-1
1126×rational.json-2
1126×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
16222
215022
331322
463822
5150722
6353122
7576522
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(pow.f64 (cos.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (cos.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (cos.f64 x) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cos.f64 x) 4) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (pow.f64 (cos.f64 x) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))))) 128)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))))) 128)))))

simplify236.0ms (2.8%)

Algorithm
egg-herbie
Rules
1906×rational.json-simplify-35
1842×rational.json-simplify-26
996×rational.json-simplify-48
978×rational.json-simplify-45
956×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0133923
1257917
2783917
31340905
42117905
52626905
62834905
73231905
84709905
95387905
106002905
116670905
127120905
137500905
Stop Event
node limit
Counts
65 → 80
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)
(*.f64 4 (/.f64 (pow.f64 (cos.f64 x) 2) 4))
(*.f64 4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)
(*.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) 2)
(*.f64 16 (pow.f64 (/.f64 (cos.f64 x) 4) 2))
(*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 4))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) 4)
(*.f64 (pow.f64 (/.f64 (cos.f64 x) 4) 2) 16)
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16) 1/16)
(*.f64 1/16 (*.f64 (pow.f64 (cos.f64 x) 2) 16))
(*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 1)
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 8)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))) 64)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))))) 128)
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)
(*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))))) 128)
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 2/45)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 2/45) (*.f64 (pow.f64 x 4) -1/3)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 4) -1/3) (*.f64 (pow.f64 x 6) 2/45)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (*.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (*.f64 (pow.f64 x 6) 2/45) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) (*.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)
(pow.f64 (cos.f64 x) 2)
(*.f64 4 (/.f64 (pow.f64 (cos.f64 x) 2) 4))
(pow.f64 (cos.f64 x) 2)
(*.f64 4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)
(pow.f64 (cos.f64 x) 2)
(*.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) 2)
(pow.f64 (cos.f64 x) 2)
(*.f64 16 (pow.f64 (/.f64 (cos.f64 x) 4) 2))
(*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 4))
(pow.f64 (cos.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) 4)
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (/.f64 (cos.f64 x) 4) 2) 16)
(*.f64 16 (pow.f64 (/.f64 (cos.f64 x) 4) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16) 1/16)
(pow.f64 (cos.f64 x) 2)
(*.f64 1/16 (*.f64 (pow.f64 (cos.f64 x) 2) 16))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 1)
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 8)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 16)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) 32)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))) 64)
(pow.f64 (cos.f64 x) 2)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))))) 128)
(pow.f64 (cos.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(pow.f64 (sin.f64 x) 2)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(*.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4))
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(pow.f64 (sin.f64 x) 2)
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)
(pow.f64 (sin.f64 x) 2)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)
(pow.f64 (sin.f64 x) 2)
(*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)
(pow.f64 (sin.f64 x) 2)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))))) 128)
(pow.f64 (sin.f64 x) 2)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.2b
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
0.2b
(pow.f64 (sin.f64 x) 2)
0.3b
(pow.f64 (cos.f64 x) 2)
Compiler

Compiled 70 to 43 computations (38.6% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite85.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1994×rational.json-1
1994×rational.json-2
1994×rational.json-4
1994×rational.json-3
854×rational.json-simplify-35
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014104
1105104
2264104
3665104
41785104
55377104
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))
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simplify167.0ms (2%)

Algorithm
egg-herbie
Rules
1974×rational.json-simplify-35
1066×rational.json-simplify-51
716×rational.json-simplify-2
708×rational.json-simplify-1
682×rational.json-simplify-50
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01565156
13325150
28824618
319754606
446554606
563164606
675884606
Stop Event
node limit
Counts
82 → 92
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)
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(*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(*.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 1/4)
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) -1)
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(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 2)
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(/.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 4)
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 8) 8)
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -2) -2)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 8)) 16)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)
(+.f64 0 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 2 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))) 1))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2))
(*.f64 2 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 -1/2 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 2 (*.f64 (/.f64 -1/2 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (/.f64 -1/2 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1/2))
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2))
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(*.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 -1/2 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2))
(*.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2) 1))
(*.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 2 (/.f64 -1/2 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1/2))
(*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1))
(*.f64 (/.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2)
(*.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (/.f64 1/2 (+.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))))
(*.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (*.f64 (/.f64 1/2 (+.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))) 1))
(*.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (*.f64 1/4 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (*.f64 1/2 (/.f64 -1/2 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (/.f64 1 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 -1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 1/2 (/.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 -1/2 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2) (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1)
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))) 2)
(*.f64 (/.f64 1/2 (+.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (cos.f64 x) 2))))) (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))
(*.f64 (/.f64 1 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(neg.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2/3 (pow.f64 x 4))))
(+.f64 (+.f64 1 (neg.f64 (pow.f64 x 2))) (*.f64 -2/3 (pow.f64 x 4)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (*.f64 -2/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 -2/3 (pow.f64 x 4)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))) (*.f64 -2/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -17/45 (pow.f64 x 6))))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) -2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 1 (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -2)) (*.f64 (pow.f64 x 4) 2/3))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 (+.f64 1 (*.f64 (pow.f64 x 6) -4/45)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
(+.f64 (*.f64 (pow.f64 x 6) -4/45) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 4) 2/3))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) -4/45))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 0 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 -1 (-.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (-.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) -1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 2 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 2 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/2))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/2)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 1/4)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) -1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 1/2 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 1/4 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 2)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 2 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 4)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) -1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 8) 8)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -2) -2)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 8)) 16)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
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(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))

eval445.0ms (5.2%)

Compiler

Compiled 35610 to 17463 computations (51% saved)

prune299.0ms (3.5%)

Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New1213161229
Fresh01111
Picked101
Done145
Total1215311246
Error
0.1b
Counts
1246 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.5b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
17.7b
(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.5b
(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.4b
(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
22.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
29.9b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (fabs.f64 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
0.4b
(/.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
27.9b
(/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
27.9b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
30.8b
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
29.9b
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
0.5b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
16.1b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) -1))
0.3b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x))) -1))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
28.1b
1
Compiler

Compiled 1244 to 754 computations (39.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.2b
(-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
4.8b
(/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
Compiler

Compiled 84 to 16 computations (81% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite85.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1706×exponential.json-3
1706×rational.json-1
1706×rational.json-2
1706×rational.json-4
1706×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013151
1110151
234883
3157883
4491883
Stop Event
node limit
Counts
3 → 156
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))
(-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (*.f64 -1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify117.0ms (1.4%)

Algorithm
egg-herbie
Rules
1220×rational.json-simplify-35
958×rational.json-simplify-44
866×rational.json-simplify-49
858×rational.json-simplify-47
768×rational.json-simplify-51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04396564
114026150
264505798
Stop Event
node limit
Counts
192 → 252
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (+.f64 1 (*.f64 (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) 1) (pow.f64 x 2))) (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) 1) (pow.f64 x 2)) (*.f64 (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))))) (pow.f64 x 4)))) (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) 1) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))) (+.f64 1 (+.f64 (*.f64 2/3 (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) 1)) (*.f64 17/45 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))))) (pow.f64 x 6)) (*.f64 (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))))) (pow.f64 x 4))))) (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
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(+.f64 (/.f64 0 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
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(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)) (/.f64 1 (*.f64 (tan.f64 x) 2)))
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(*.f64 (*.f64 (tan.f64 x) 2) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 1/2 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)) 1))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) (/.f64 1 (tan.f64 x))))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
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(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (fabs.f64 (*.f64 (tan.f64 x) 2)) (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))))
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(*.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 0)
(+.f64 0 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(-.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 0)
(*.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) 1))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 1/2 (/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8)))))
(+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8))) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 62/315 (pow.f64 x 8))) (*.f64 2/3 (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (+.f64 1 (*.f64 (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) 1) (pow.f64 x 2))) (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))
(+.f64 1 (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (fabs.f64 (pow.f64 (tan.f64 x) 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) 1) (pow.f64 x 2)) (*.f64 (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))))) (pow.f64 x 4)))) (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (*.f64 (pow.f64 x 4) (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))))))) (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))
(+.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (*.f64 (pow.f64 x 4) (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))))) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (fabs.f64 (pow.f64 (tan.f64 x) 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) 1) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))) (+.f64 1 (+.f64 (*.f64 2/3 (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) 1)) (*.f64 17/45 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))))) (pow.f64 x 6)) (*.f64 (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))))) (pow.f64 x 4))))) (fabs.f64 (pow.f64 (tan.f64 x) 2)))
(+.f64 (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (+.f64 (*.f64 2/3 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (*.f64 17/45 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (*.f64 (pow.f64 x 4) (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))))))) (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))
(+.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 x 4) (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (*.f64 (pow.f64 x 6) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 (*.f64 17/45 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 (*.f64 2/3 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) 1))))))) (fabs.f64 (pow.f64 (tan.f64 x) 2))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 (*.f64 17/45 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 2/3 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1))))))) (+.f64 (*.f64 (pow.f64 x 4) (-.f64 1 (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 2/3 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))))))) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (fabs.f64 (pow.f64 (tan.f64 x) 2)) -1)) (fabs.f64 (pow.f64 (tan.f64 x) 2))))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (fabs.f64 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 (/.f64 0 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (*.f64 -1 (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)) (tan.f64 x)) (*.f64 (tan.f64 x) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 (fabs.f64 (tan.f64 x)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)) (/.f64 1 (*.f64 (tan.f64 x) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) 2)) 1))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)) (*.f64 1/2 (/.f64 1 (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 1 (tan.f64 x)) 1/2))
(*.f64 (*.f64 (*.f64 2 (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (tan.f64 x)))) 1/2)
(*.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 1/2)))
(*.f64 (*.f64 (tan.f64 x) 2) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 1/2 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 1 (tan.f64 x)) 1/2))
(*.f64 (*.f64 (*.f64 2 (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (tan.f64 x)))) 1/2)
(*.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 1/2)))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) 2)) 1))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) (/.f64 1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (fabs.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (*.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (*.f64 (/.f64 (tan.f64 x) 2) (/.f64 1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) 2))) (fabs.f64 (/.f64 1 (*.f64 (tan.f64 x) 2))))
(*.f64 (tan.f64 x) (tan.f64 x))
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(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 1/2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 0)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 0)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))))
(*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) 1))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))))
(*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 1/2 (/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))))
(*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
0.0b
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.1b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1370×rational.json-1
1370×rational.json-2
1370×rational.json-4
1370×rational.json-3
1362×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
17432
218932
344332
4146432
5471432
Stop Event
node limit
Counts
2 → 30
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(tan.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (tan.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (tan.f64 (neg.f64 x)))))))

simplify71.0ms (0.8%)

Algorithm
egg-herbie
Rules
1578×rational.json-simplify-35
1336×rational.json-simplify-51
860×rational.json-simplify-2
856×rational.json-simplify-54
766×rational.json-simplify-38
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0971048
12021042
24601042
314261030
437311030
Stop Event
node limit
Counts
54 → 60
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(*.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(*.f64 2 (/.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(*.f64 1/2 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(+.f64 (tan.f64 x) 0)
(+.f64 0 (tan.f64 x))
(-.f64 (tan.f64 x) 0)
(-.f64 0 (tan.f64 (neg.f64 x)))
(*.f64 1 (tan.f64 x))
(*.f64 (tan.f64 x) 1)
(*.f64 2 (/.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (tan.f64 x) 2) 1/2)
(*.f64 1/2 (*.f64 (tan.f64 x) 2))
(*.f64 (/.f64 (tan.f64 x) 2) 2)
(/.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 (tan.f64 x) 1)
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(/.f64 (*.f64 (tan.f64 x) 4) 4)
(/.f64 (tan.f64 (neg.f64 x)) -1)
(/.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 16)
(pow.f64 (tan.f64 x) 1)
(neg.f64 (tan.f64 (neg.f64 x)))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 4)) 1))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))) (*.f64 -2/45 (pow.f64 x 6))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6))))
(+.f64 (+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))) (*.f64 -2/45 (pow.f64 x 6)))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 17/315 (pow.f64 x 7)))))
(+.f64 x (+.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 17/315 (pow.f64 x 7))) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7)))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))) (/.f64 1 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 2 (/.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 1/2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1/2 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (tan.f64 x) 0)
(tan.f64 x)
(+.f64 0 (tan.f64 x))
(tan.f64 x)
(-.f64 (tan.f64 x) 0)
(tan.f64 x)
(-.f64 0 (tan.f64 (neg.f64 x)))
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 2 (/.f64 (tan.f64 x) 2))
(tan.f64 x)
(*.f64 (*.f64 (tan.f64 x) 2) 1/2)
(tan.f64 x)
(*.f64 1/2 (*.f64 (tan.f64 x) 2))
(tan.f64 x)
(*.f64 (/.f64 (tan.f64 x) 2) 2)
(tan.f64 x)
(/.f64 1 (/.f64 1 (tan.f64 x)))
(tan.f64 x)
(/.f64 (tan.f64 x) 1)
(tan.f64 x)
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(tan.f64 x)
(/.f64 (*.f64 (tan.f64 x) 4) 4)
(tan.f64 x)
(/.f64 (tan.f64 (neg.f64 x)) -1)
(tan.f64 x)
(/.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) 8)
(tan.f64 x)
(/.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 16)
(tan.f64 x)
(pow.f64 (tan.f64 x) 1)
(tan.f64 x)
(neg.f64 (tan.f64 (neg.f64 x)))
(tan.f64 x)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
0.2b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
0.2b
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 70 to 29 computations (58.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite104.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
2242×rational.json-1
1140×exponential.json-3
1140×rational.json-2
1140×rational.json-4
1140×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013112
197112
2262100
3821100
43182100
57643100
Stop Event
node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
Outputs
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simplify118.0ms (1.4%)

Algorithm
egg-herbie
Rules
1208×rational.json-simplify-53
1196×rational.json-simplify-54
934×rational.json-simplify-49
748×rational.json-simplify-50
744×rational.json-simplify-35
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02477130
18147102
223627032
346677032
Stop Event
node limit
Counts
130 → 149
Calls
Call 1
Inputs
1
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2
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(*.f64 (/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 -1 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (/.f64 (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 0)
(+.f64 0 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
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(-.f64 0 (neg.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
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(/.f64 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1)
(/.f64 1 (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 1 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (/.f64 (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 4 (*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 (*.f64 4 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)
(/.f64 (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 8 (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 2 (*.f64 4 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) 4)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 -2 (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 -2 (*.f64 (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)))
(/.f64 -2 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 -2 (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 0 (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2) 1/2))
(/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/4))
(/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) (/.f64 1 (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2)
(/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2))
(/.f64 -4 (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 -4 (-.f64 0 (*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(/.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4) (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (*.f64 4 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 4) 8)
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 1/2 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2) (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 -8 (-.f64 0 (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)))
(/.f64 (/.f64 -4 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 8 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1/2)
(/.f64 (/.f64 4 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)) 1/4)
(/.f64 (/.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 4 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)) (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)) -1)
(/.f64 (/.f64 -2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)) 4)
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (neg.f64 (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -1/2)))
(/.f64 (neg.f64 (*.f64 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 4)) (neg.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 0 (/.f64 1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 0 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2))))
(/.f64 (neg.f64 (/.f64 -4 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (neg.f64 (/.f64 8 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 4 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 (neg.f64 (/.f64 4 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2))) (neg.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1)
(neg.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)))
Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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2
(+.f64 (*.f64 4 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) 4))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 20/3 (pow.f64 x 4))))
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(*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -2 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 4 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2))) (neg.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -2 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -2 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -2 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -2 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1)
(*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -2 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -2 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) -2)))
(*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -2 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
0.2b
(pow.f64 (sin.f64 x) 2)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.3b
(pow.f64 (cos.f64 x) 2)
Compiler

Compiled 69 to 35 computations (49.3% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x))))
0.2b
(/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
4.8b
(/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x)))
Compiler

Compiled 101 to 38 computations (62.4% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite123.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
862×rational.json-simplify-19
856×rational.json-simplify-35
712×rational.json-simplify-43
682×rational.json-simplify-54
600×rational.json-simplify-39
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012129
1101111
231155
3131555
4609255
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))
(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))

simplify100.0ms (1.2%)

Algorithm
egg-herbie
Rules
1148×rational.json-simplify-59
936×rational.json-simplify-43
822×rational.json-simplify-39
636×rational.json-simplify-2
614×rational.json-simplify-49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04125016
112494944
252804902
Stop Event
node limit
Counts
224 → 241
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (fabs.f64 (tan.f64 x)) x)
(+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3))))
(+.f64 (*.f64 2/15 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 5))) (+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3)))))
(+.f64 (*.f64 17/315 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 7))) (+.f64 (*.f64 2/15 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 5))) (+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3))))))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (fabs.f64 (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (fabs.f64 (tan.f64 x))) (cos.f64 x))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(+.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(+.f64 (/.f64 0 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 0 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 0 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 0 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (tan.f64 x) (*.f64 -1 (neg.f64 (tan.f64 x))))
(*.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1 (fabs.f64 (*.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 2 (/.f64 2 (tan.f64 x)))))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (/.f64 2 (/.f64 2 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 2 (/.f64 2 (tan.f64 x))) 1)))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 -1 (neg.f64 (tan.f64 x)))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 2 (/.f64 2 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 -1 (neg.f64 (fabs.f64 (tan.f64 x))))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (*.f64 -1 (fabs.f64 (tan.f64 x)))))
(*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (/.f64 1 (fabs.f64 (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) 2) (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 1/2 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 2) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 2) (*.f64 1/2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) 2) (fabs.f64 (*.f64 1/2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2))) (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2))) (fabs.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2))) (*.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2))) (*.f64 1/2 (/.f64 1 (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2))) (fabs.f64 (*.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2)) 1)))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2))) (fabs.f64 (*.f64 1/2 (/.f64 1 (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x))))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (/.f64 1 (/.f64 2 (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) 2))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 1/2 (fabs.f64 (tan.f64 x))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 1/2 (tan.f64 x))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 1/2 (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2) 1)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))) 1)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) 1)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) 2)) 1)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 2) (/.f64 1 (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 1/2 (neg.f64 (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (fabs.f64 (*.f64 1/2 (neg.f64 (fabs.f64 (tan.f64 x))))))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2)) (/.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2)) (*.f64 (/.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)) 1))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2)) (*.f64 (/.f64 (tan.f64 x) 2) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (fabs.f64 (/.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (fabs.f64 (*.f64 (/.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)) 1)))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (fabs.f64 (*.f64 (/.f64 (tan.f64 x) 2) (/.f64 1 (fabs.f64 (tan.f64 x))))))
(*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) -1)
(*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2)) (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2)) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) 2)) (*.f64 (tan.f64 x) 2))
(*.f64 (fabs.f64 (/.f64 2 (/.f64 2 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))
(*.f64 (fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2)) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (fabs.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x))))) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (fabs.f64 (/.f64 1 (/.f64 2 (tan.f64 x)))) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) 2))) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (fabs.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2))) (*.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) 2))))
(*.f64 (fabs.f64 (/.f64 (tan.f64 x) (*.f64 (fabs.f64 (tan.f64 x)) 2))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (tan.f64 x)))
(fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x))))))
(fabs.f64 (*.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x))))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (tan.f64 x)))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (tan.f64 x)))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (neg.f64 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x))))))
(fabs.f64 (/.f64 (tan.f64 x) (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (tan.f64 x) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (fabs.f64 (tan.f64 x)))) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 (neg.f64 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x))) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 0)
(+.f64 0 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(-.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 0)
(-.f64 0 (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(*.f64 1 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (fabs.f64 (tan.f64 x)) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (/.f64 2 (/.f64 2 (tan.f64 x))))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (/.f64 2 (/.f64 2 (tan.f64 x))) 1))
(*.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 1)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) 2) (/.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 1/2 (fabs.f64 (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) 2)) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2) 1))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 1 (/.f64 2 (tan.f64 x))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 1/2 (tan.f64 x)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))) 1))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) 1))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (tan.f64 x) 2))
(*.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (/.f64 2 (/.f64 2 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) -1)
(pow.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 1)
(neg.f64 (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(+.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1)
(*.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8)))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 62/315 (pow.f64 x 8))) (*.f64 2/3 (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (fabs.f64 (tan.f64 x)) x)
(*.f64 x (fabs.f64 (tan.f64 x)))
(+.f64 (*.f64 (fabs.f64 (tan.f64 x)) x) (*.f64 1/3 (*.f64 (fabs.f64 (tan.f64 x)) (pow.f64 x 3))))
(+.f64 (*.f64 x (fabs.f64 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 (fabs.f64 (tan.f64 x)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))
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(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2) 1))
(*.f64 (tan.f64 x) (*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (/.f64 1 (/.f64 2 (tan.f64 x))))
(*.f64 (tan.f64 x) (*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 1/2 (tan.f64 x)))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))) 1))
(*.f64 (tan.f64 x) (*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) 1))
(*.f64 (tan.f64 x) (*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 (fabs.f64 (tan.f64 x)) 2) (*.f64 (tan.f64 x) 2))
(*.f64 (tan.f64 x) (*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 1 (*.f64 2 (/.f64 1 (tan.f64 x)))) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (tan.f64 x) (*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 1 (/.f64 2 (tan.f64 x))) (*.f64 (fabs.f64 (tan.f64 x)) 2))
(*.f64 (tan.f64 x) (*.f64 2 (/.f64 (fabs.f64 (tan.f64 x)) 2)))
(*.f64 2 (*.f64 (tan.f64 x) (fabs.f64 (/.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 2 (/.f64 2 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(*.f64 (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) -1)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) 1)
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(neg.f64 (neg.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))))
(*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))
(+.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

eval595.0ms (7%)

Compiler

Compiled 53668 to 23620 computations (56% saved)

prune541.0ms (6.3%)

Pruning

46 alts after pruning (37 fresh and 9 done)

PrunedKeptTotal
New1764221786
Fresh71522
Picked011
Done088
Total1771461817
Error
0.1b
Counts
1817 → 46
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.5b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
0.5b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
17.7b
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))))))
0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (+.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
22.3b
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
29.9b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (/.f64 -1 (*.f64 (/.f64 1/2 (tan.f64 x)) 2)) (/.f64 -1 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
0.3b
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (fabs.f64 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 2 (/.f64 1 (/.f64 (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.4b
(/.f64 2 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.5b
(/.f64 2 (*.f64 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
0.5b
(/.f64 2 (*.f64 (-.f64 -1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
30.8b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
0.6b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
0.5b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))))
0.4b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
0.4b
(/.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
30.2b
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
27.9b
(/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
27.9b
(/.f64 1 (+.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))))
27.9b
(/.f64 1 (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
27.9b
(/.f64 1 (+.f64 1 (-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))
27.9b
(/.f64 1 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))))
27.9b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
30.1b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) x)))
0.4b
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
30.8b
(-.f64 1 (pow.f64 x 2))
30.8b
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
0.5b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
16.1b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) -1))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
0.4b
(neg.f64 (/.f64 (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
28.1b
1
Compiler

Compiled 1793 to 1125 computations (37.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.2b
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
0.2b
(+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 64 to 28 computations (56.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite78.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1540×rational.json-1
1540×rational.json-2
1540×rational.json-4
1540×rational.json-3
1526×exponential.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01392
110280
224368
361968
4201768
5574068
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1)
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))

simplify120.0ms (1.4%)

Algorithm
egg-herbie
Rules
1904×rational.json-simplify-35
1016×rational.json-simplify-2
908×rational.json-simplify-1
892×rational.json-simplify-50
706×rational.json-simplify-51
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01273068
12733062
26322906
319862894
444532894
569992894
Stop Event
node limit
Counts
76 → 83
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2))
(-.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2)) 1)
(-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(*.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 1/2)
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(*.f64 1/4 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) -2)
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4)) 16)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(+.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))))
(-.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(*.f64 1 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2))
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))))
(*.f64 2 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1/2)
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))) 2)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)
(pow.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 -2/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 -2/3 (pow.f64 x 4)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))) (*.f64 -2/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 -17/45 (pow.f64 x 6)) (*.f64 -2/3 (pow.f64 x 4)))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -17/45 (pow.f64 x 6))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) -2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 1 (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 2) -2)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -2)) (*.f64 (pow.f64 x 4) 2/3))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 (+.f64 1 (*.f64 (pow.f64 x 6) -4/45)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -2) (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) -4/45))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2)) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 1/2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 1/4)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1/4 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) -2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4) 8)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 4)) 16)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))
(-.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2) (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 2 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1/2)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (/.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1/2 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/2) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))) 2)
(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 2 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 2 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
0.2b
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.4b
(/.f64 2 (-.f64 (pow.f64 x 2) 1))
Compiler

Compiled 66 to 40 computations (39.4% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1)))
1.0ms
x
@-inf
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
1.0ms
x
@inf
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
1.0ms
x
@inf
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1)))
0.0ms
x
@-inf
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1)))

rewrite67.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1232×exponential.json-3
1232×rational.json-1
1232×rational.json-2
1232×rational.json-4
1232×rational.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015115
1118115
2302103
3901103
43563103
Stop Event
node limit
Counts
3 → 123
Calls
Call 1
Inputs
(/.f64 2 (-.f64 (pow.f64 x 2) 1))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1)))
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
Outputs
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(-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 (pow.f64 x 2) -1))))))))

simplify131.0ms (1.5%)

Algorithm
egg-herbie
Rules
1882×rational.json-simplify-35
968×rational.json-simplify-49
928×rational.json-simplify-50
920×rational.json-simplify-41
848×rational.json-simplify-46
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02987707
18957571
224657517
360057517
Stop Event
node limit
Counts
159 → 210
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 2)
(/.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
2
(+.f64 (*.f64 4 (pow.f64 x 2)) 2)
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 16/3 (pow.f64 x 4))))
(+.f64 (*.f64 274/45 (pow.f64 x 6)) (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 16/3 (pow.f64 x 4)))))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2)))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4)))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 8))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4))))))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2)))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4)))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 8))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4))))))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 4/3 (pow.f64 x 4))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -17/45 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1)) 0)
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(+.f64 (/.f64 1 (+.f64 (pow.f64 x 2) -1)) (/.f64 1 (+.f64 (pow.f64 x 2) -1)))
(-.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1)) 0)
(-.f64 0 (neg.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
(*.f64 2 (/.f64 1 (+.f64 (pow.f64 x 2) -1)))
(*.f64 1 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1)) 1)
(*.f64 -1 (neg.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
(*.f64 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1))) 1/2)
(*.f64 (neg.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1))) -1)
(*.f64 1/2 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 2) -1)) 2)
(pow.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1)) 1)
(neg.f64 (neg.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
(+.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1))) 0)
(+.f64 0 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1))))
(+.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1)) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1)))
(-.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1))) 0)
(-.f64 0 (neg.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1)))))
(/.f64 2 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 1 (/.f64 (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))))
(/.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) 1/2))))
(/.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1)) (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1)) (-.f64 0 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 -1 (/.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))
(/.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1))) 1)
(/.f64 4 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 4 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1))) 2)
(/.f64 -2 (/.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 -2 (*.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)))
(/.f64 -2 (neg.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 8 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 -4 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 -4 (-.f64 0 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (*.f64 2 (*.f64 4 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1)))) 4)
(/.f64 (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (pow.f64 x 2) -1))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 (pow.f64 x 2) -1) -1/2))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -2 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1))) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1))) (-.f64 0 (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1)) 1/2)
(/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) 1/2))
(/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/4))
(/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2) (/.f64 1 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))))
(/.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1)) 4) (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 -8 (-.f64 0 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (*.f64 (*.f64 4 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1))) 4) 8)
(/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (+.f64 -2 (*.f64 2 (pow.f64 x 2))))
(/.f64 (*.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) -1)) (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 4 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)) (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)) -1)
(/.f64 (/.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)) 4)
(/.f64 (/.f64 4 (+.f64 (pow.f64 x 2) -1)) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 8 (+.f64 (pow.f64 x 2) -1)) (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 4 (-.f64 1 (pow.f64 x 2))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -2 (*.f64 2 (pow.f64 x 2)))) 1/4)
(/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (pow.f64 x 2))) -1/2)
(/.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) 1/2)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (neg.f64 (+.f64 -2 (*.f64 2 (pow.f64 x 2)))))
(/.f64 (neg.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 x 2) -1)) 4)) (neg.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (pow.f64 x 2) -1))) (-.f64 0 (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 4 (+.f64 (pow.f64 x 2) -1))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1))))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 4 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))) (neg.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 -2 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 8 (+.f64 (pow.f64 x 2) -1))) (neg.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 4 (-.f64 1 (pow.f64 x 2)))) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 0 (*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) 1/2))))
(pow.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1))) 1)
(neg.f64 (neg.f64 (*.f64 2 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) -1)))))
(neg.f64 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2)))
(+.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(*.f64 2 (*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 2 (/.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 2 (/.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 -1 (/.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(*.f64 (+.f64 -2 (*.f64 2 (pow.f64 x 2))) (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))
(*.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 4) (/.f64 1 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(*.f64 (*.f64 2 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (*.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) 1/2))
(*.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/4))
(*.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))))
(*.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 -1 (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1/2)
(*.f64 1/2 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (pow.f64 x 2) -1))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 -2 (*.f64 2 (pow.f64 x 2))))
(*.f64 (*.f64 2 (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))
(*.f64 (/.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 (pow.f64 x 2) -1))) -1)
(*.f64 (*.f64 2 (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (pow.f64 x 2) -1))
(*.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)
(*.f64 (/.f64 1 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (*.f64 (+.f64 (pow.f64 x 2) -1) 4))
(*.f64 (/.f64 1 (*.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 2 (-.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(*.f64 (/.f64 1 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))) (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 -1 (/.f64 2 (+.f64 (pow.f64 x 2) -1))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (/.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
Outputs
-2
(-.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 2)
(+.f64 (*.f64 -2 (pow.f64 x 4)) (-.f64 (*.f64 -2 (pow.f64 x 2)) 2))
(-.f64 (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 2))) 2)
(-.f64 (*.f64 -2 (+.f64 (pow.f64 x 2) (pow.f64 x 4))) 2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 2)
(+.f64 (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6))) (-.f64 (*.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (-.f64 (*.f64 -2 (+.f64 (pow.f64 x 6) (pow.f64 x 4))) 2))
(-.f64 (*.f64 -2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) 2)
(/.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(/.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
2
(+.f64 (*.f64 4 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) 4))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 16/3 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 16/3) (*.f64 (pow.f64 x 2) 4)))
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 4) 16/3)))
(+.f64 (*.f64 274/45 (pow.f64 x 6)) (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 16/3 (pow.f64 x 4)))))
(+.f64 (*.f64 (pow.f64 x 2) 4) (+.f64 (+.f64 2 (*.f64 (pow.f64 x 4) 16/3)) (*.f64 (pow.f64 x 6) 274/45)))
(+.f64 (+.f64 2 (*.f64 (pow.f64 x 4) 16/3)) (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 6) 274/45)))
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 16/3) (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 6) 274/45))))
(*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2)))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4))))
(*.f64 -2 (+.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))))
(*.f64 -2 (+.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4)))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4))) (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 6)))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))) (*.f64 -2 (+.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 6)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4)))))
(*.f64 -2 (+.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 6)) (+.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 4)))))
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(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 -2 (*.f64 2 (pow.f64 x 2))) (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 -2 (*.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 -2 (*.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 4) (/.f64 1 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)))
(*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 4 (/.f64 1 (*.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 4 (*.f64 (/.f64 1/4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (pow.f64 x 2) -1)))
(*.f64 (/.f64 -1/4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 4 (+.f64 (pow.f64 x 2) -1)))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4))
(*.f64 (*.f64 2 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (*.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) 1/2))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (*.f64 1/2 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/4) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(*.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/4))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (*.f64 1/2 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/4) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(*.f64 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (*.f64 1/2 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/4) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(*.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 -1 (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
(*.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 x 2) -1) -2))
(*.f64 (/.f64 -2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 2) -1) -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -1/2) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 x 2))) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1/2)
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 1/2 (*.f64 (+.f64 (pow.f64 x 2) -1) (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (pow.f64 x 2) -1))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 -2 (*.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 1/2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 -2 (*.f64 2 (pow.f64 x 2))))
(*.f64 (*.f64 2 (/.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 (pow.f64 x 2) -1))) -1)
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 2 (/.f64 -1/2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (pow.f64 x 2) -1))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) 2)
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (*.f64 (+.f64 (pow.f64 x 2) -1) 4))
(*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 4 (/.f64 1 (*.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 4 (*.f64 (/.f64 1/4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (pow.f64 x 2) -1)))
(*.f64 (/.f64 -1/4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 4 (+.f64 (pow.f64 x 2) -1)))
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4))
(*.f64 (/.f64 1 (*.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 2 (-.f64 1 (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2) 2)
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (*.f64 2 (/.f64 2 (+.f64 (pow.f64 x 2) -1)))) (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/2) (*.f64 1/2 (/.f64 -4 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 x 2) -1) (*.f64 (/.f64 4 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1/4))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) 1/4) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))
(*.f64 (/.f64 -1 (/.f64 2 (+.f64 (pow.f64 x 2) -1))) (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 x 2) -1) -2))
(*.f64 (/.f64 -2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 2) -1) -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 2) -1) -1/2) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 x 2))) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 2) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (/.f64 (/.f64 2 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (+.f64 (pow.f64 x 2) -1))))
(/.f64 (+.f64 (pow.f64 x 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.3b
(/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))
0.9b
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
Compiler

Compiled 79 to 40 computations (49.4% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite89.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1294×exponential.json-3
1294×rational.json-1
1294×rational.json-2
1294×rational.json-4
1294×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01169
19257
224357
365257
4333757
Stop Event
node limit
Counts
3 → 243
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))
(+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) 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simplify85.0ms (1%)

Algorithm
egg-herbie
Rules
1172×rational.json-simplify-35
1112×rational.json-simplify-61
894×rational.json-simplify-49
864×rational.json-simplify-44
806×rational.json-simplify-47
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04808245
115647877
Stop Event
node limit
Counts
279 → 360
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 2/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))) 2/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2/189 (pow.f64 x 4)) (*.f64 1/15 (pow.f64 x 2)))) 2/3)
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 -1 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
(*.f64 2 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))))
(*.f64 2 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(*.f64 2 (fabs.f64 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x)))))
(*.f64 2 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) 1/2))
(*.f64 (*.f64 (tan.f64 x) 2) (/.f64 2 (/.f64 4 (tan.f64 x))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) 4) (/.f64 1 (*.f64 (/.f64 1 (tan.f64 x)) 4)))
(*.f64 (*.f64 (tan.f64 x) 4) (/.f64 1 (/.f64 4 (tan.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1/2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(*.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (tan.f64 x) 1/2) (/.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (*.f64 (tan.f64 x) 1/2)))
(*.f64 (*.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 2 (/.f64 4 (tan.f64 x)))))
(*.f64 (*.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) 1/2)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(*.f64 (fabs.f64 (*.f64 (tan.f64 x) 1/2)) (*.f64 2 (fabs.f64 (tan.f64 x))))
(*.f64 (fabs.f64 (*.f64 (tan.f64 x) 1/2)) (fabs.f64 (/.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) 1/2))
(*.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))) -1)
(*.f64 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))) 2)
(*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) 2)
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (tan.f64 x)) 4)) (*.f64 (tan.f64 x) 4))
(*.f64 (/.f64 1 (/.f64 4 (tan.f64 x))) (*.f64 (tan.f64 x) 4))
(*.f64 (/.f64 2 (/.f64 4 (tan.f64 x))) (*.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 4) (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (tan.f64 x)) 4))))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 4) (fabs.f64 (/.f64 1 (/.f64 4 (tan.f64 x)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
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(neg.f64 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
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(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(fabs.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(fabs.f64 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
(fabs.f64 (*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (tan.f64 x) 2) (/.f64 2 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
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(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) 2)) (*.f64 (tan.f64 x) 1/2)))
(fabs.f64 (*.f64 (*.f64 2 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) 1/2)))
(fabs.f64 (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
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(fabs.f64 (/.f64 (neg.f64 (/.f64 2 (tan.f64 x))) (*.f64 (tan.f64 x) 2)))
(fabs.f64 (/.f64 (neg.f64 (/.f64 2 (tan.f64 x))) (*.f64 2 (fabs.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) 2)))
(fabs.f64 (/.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) 2))))
(fabs.f64 (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 0)
(*.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(*.f64 2 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) 1/2)))
(*.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 2) 1/2)
(*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 2))
(*.f64 (*.f64 (tan.f64 x) (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (tan.f64 x))
(*.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) 1/2)) (*.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)
(*.f64 (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (tan.f64 x))) 1) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (+.f64 (*.f64 (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) 1) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(/.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) 8)
(pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8)))))
(+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 62/315 (pow.f64 x 8))) (*.f64 2/3 (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 2/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))) 2/3)
(+.f64 (*.f64 (pow.f64 x 2) 1/15) (-.f64 (/.f64 1 (pow.f64 x 2)) 2/3))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 2) 1/15) 2/3))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2/189 (pow.f64 x 4)) (*.f64 1/15 (pow.f64 x 2)))) 2/3)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/15) (*.f64 (pow.f64 x 4) 2/189)) (-.f64 (/.f64 1 (pow.f64 x 2)) 2/3))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/15) (*.f64 (pow.f64 x 4) 2/189)) 2/3))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(+.f64 (pow.f64 x 2) (-.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) -1))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))) (-.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (-.f64 (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))) 1))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(+.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 0)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 -1 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
(neg.f64 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
(/.f64 (tan.f64 (neg.f64 x)) (/.f64 -1 (tan.f64 x)))
(*.f64 2 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))))
(*.f64 2 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(*.f64 (*.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) 2))
(*.f64 2 (fabs.f64 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 2 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2)))
(*.f64 2 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(*.f64 (*.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) 1/2))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) 2) (/.f64 2 (/.f64 4 (tan.f64 x))))
(*.f64 2 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(*.f64 (*.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 1/2)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) 4) (/.f64 1 (*.f64 (/.f64 1 (tan.f64 x)) 4)))
(*.f64 (*.f64 4 (tan.f64 x)) (/.f64 1 (*.f64 4 (/.f64 1 (tan.f64 x)))))
(*.f64 (/.f64 1/4 (/.f64 1 (tan.f64 x))) (*.f64 4 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) 4) (/.f64 1 (/.f64 4 (tan.f64 x))))
(*.f64 (tan.f64 x) (*.f64 4 (/.f64 (tan.f64 x) 4)))
(*.f64 4 (*.f64 (/.f64 (tan.f64 x) 4) (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (tan.f64 x)) (fabs.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 0 (tan.f64 x)))
(*.f64 1/2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 x) 2))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (tan.f64 x) 1/2) (/.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (*.f64 (tan.f64 x) 1/2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 2 (/.f64 4 (tan.f64 x)))))
(*.f64 2 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(*.f64 (*.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) 2))
(*.f64 (*.f64 2 (fabs.f64 (tan.f64 x))) (fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) 1/2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 1 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (*.f64 (tan.f64 x) 1/2)) (*.f64 2 (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (fabs.f64 (*.f64 (tan.f64 x) 1/2)) (fabs.f64 (/.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (/.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) 1/2))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))) -1)
(neg.f64 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
(/.f64 (tan.f64 (neg.f64 x)) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))) 2)
(*.f64 2 (/.f64 (tan.f64 x) (/.f64 2 (tan.f64 x))))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) 2)
(*.f64 2 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(*.f64 (*.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) 2))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (tan.f64 x)) 4)) (*.f64 (tan.f64 x) 4))
(*.f64 (*.f64 4 (tan.f64 x)) (/.f64 1 (*.f64 4 (/.f64 1 (tan.f64 x)))))
(*.f64 (/.f64 1/4 (/.f64 1 (tan.f64 x))) (*.f64 4 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 4 (tan.f64 x))) (*.f64 (tan.f64 x) 4))
(*.f64 (tan.f64 x) (*.f64 4 (/.f64 (tan.f64 x) 4)))
(*.f64 4 (*.f64 (/.f64 (tan.f64 x) 4) (tan.f64 x)))
(*.f64 (/.f64 2 (/.f64 4 (tan.f64 x))) (*.f64 (tan.f64 x) 2))
(*.f64 2 (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2))
(*.f64 (*.f64 2 (tan.f64 x)) (/.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 4) (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (tan.f64 x)) 4))))
(*.f64 (*.f64 4 (fabs.f64 (tan.f64 x))) (/.f64 1 (fabs.f64 (*.f64 4 (/.f64 1 (tan.f64 x))))))
(*.f64 4 (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (fabs.f64 (/.f64 (tan.f64 x) 1)) 4)))
(*.f64 (*.f64 (fabs.f64 (tan.f64 x)) 4) (fabs.f64 (/.f64 1 (/.f64 4 (tan.f64 x)))))
(*.f64 (*.f64 4 (fabs.f64 (tan.f64 x))) (fabs.f64 (/.f64 (tan.f64 x) 4)))
(*.f64 4 (*.f64 (fabs.f64 (tan.f64 x)) (/.f64 (fabs.f64 (tan.f64 x)) 4)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(neg.f64 (/.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(neg.f64 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
(/.f64 (tan.f64 (neg.f64 x)) (/.f64 -1 (tan.f64 x)))
(neg.f64 (/.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))))
(/.f64 (tan.f64 (neg.f64 x)) (/.f64 -1 (tan.f64 x)))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(fabs.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
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(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(fabs.f64 (/.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 (neg.f64 x)))))))
(/.f64 (fabs.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 (neg.f64 x)))))) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (/.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(fabs.f64 (/.f64 2 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 (neg.f64 x)))))))
(/.f64 (fabs.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 (neg.f64 x)))))) (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (*.f64 2 (/.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 1 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 -1 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (tan.f64 x)))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (fabs.f64 (/.f64 1 (tan.f64 x))) (neg.f64 (tan.f64 x))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) 2)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 2 (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))))))
(fabs.f64 (/.f64 (*.f64 (tan.f64 x) -2) (*.f64 (tan.f64 x) (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (/.f64 (*.f64 2 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)))))
(fabs.f64 (*.f64 (tan.f64 x) (/.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x)))))))
(fabs.f64 (*.f64 (tan.f64 x) (/.f64 (/.f64 (/.f64 2 (tan.f64 x)) (tan.f64 x)) (*.f64 2 (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 2 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) 2))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 2 (tan.f64 x)) (*.f64 2 (fabs.f64 (tan.f64 x)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (/.f64 2 (tan.f64 x))) (*.f64 (tan.f64 x) 2)))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (/.f64 2 (tan.f64 x))) (*.f64 2 (fabs.f64 (tan.f64 x)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) 2)))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 2 (fabs.f64 (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) 2))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (/.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 0)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 2 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2))
(*.f64 2 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 2 (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
(*.f64 (*.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) 1/2)))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 2) 1/2)
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) 2))
(*.f64 1/2 (-.f64 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (fabs.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 2))
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) 2))
(*.f64 1/2 (-.f64 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 (*.f64 (tan.f64 x) (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (tan.f64 x))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) 1/2)) (*.f64 (tan.f64 x) 2))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (-.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 2) 2)
(*.f64 2 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 2))
(*.f64 2 (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) 1/2))
(*.f64 (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (tan.f64 x))) 1) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 (neg.f64 x))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (/.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (+.f64 (*.f64 (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x))) 1) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (+.f64 (/.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 0 (tan.f64 x)))))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) 2) 2)
(/.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) 2) 2)
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4) 4)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 4)) 8)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) 1)
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.3b
(/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))
16.9b
(*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
Compiler

Compiled 75 to 31 computations (58.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1776×rational.json-simplify-35
1070×exponential.json-3
1070×rational.json-1
1070×rational.json-2
1070×rational.json-4
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01147
19247
224047
363621
4285721
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)))))

simplify72.0ms (0.8%)

Algorithm
egg-herbie
Rules
1794×rational.json-simplify-53
1058×rational.json-simplify-44
986×rational.json-simplify-47
834×rational.json-simplify-51
826×rational.json-simplify-35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0661095
11621095
23591047
310151035
452071035
Stop Event
node limit
Counts
29 → 35
Calls
Call 1
Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 0 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(/.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 2)
(/.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 0 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(neg.f64 (+.f64 (/.f64 -1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1))
(+.f64 1 (/.f64 -1 (/.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 2 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2))) 2)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 2 (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(neg.f64 (+.f64 (/.f64 -1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1))
(+.f64 1 (/.f64 -1 (/.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4) 4)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) 8)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 4))) 16)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(neg.f64 (+.f64 (/.f64 -1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) -1))
(+.f64 1 (/.f64 -1 (/.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

eval583.0ms (6.8%)

Compiler

Compiled 51300 to 24699 computations (51.9% saved)

prune471.0ms (5.5%)

Pruning

41 alts after pruning (30 fresh and 11 done)

PrunedKeptTotal
New1654121666
Fresh141832
Picked011
Done31013
Total1671411712
Error
0.1b
Counts
1712 → 41
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.4b
(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (+.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
22.3b
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.2b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
25.2b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
0.3b
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
0.4b
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 2 (/.f64 1 (/.f64 (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.4b
(/.f64 2 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
29.4b
(/.f64 2 (*.f64 (-.f64 -1 (pow.f64 x 2)) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
0.5b
(/.f64 2 (*.f64 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
0.6b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
0.5b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))))
0.4b
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
0.4b
(/.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
30.2b
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
30.1b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) x)))
0.4b
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
30.8b
(-.f64 1 (pow.f64 x 2))
30.8b
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))) (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))
0.5b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
16.1b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) -1))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 (tan.f64 (neg.f64 x)) (/.f64 -1 (tan.f64 x))) -1))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))
0.5b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1/2 (tan.f64 x)))) -1))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) -1))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
17.7b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
17.7b
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (tan.f64 x)))
0.4b
(neg.f64 (/.f64 (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
28.1b
1
Compiler

Compiled 889 to 558 computations (37.2% saved)

regimes114.0ms (1.3%)

Counts
67 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) x)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 1 (+.f64 1 (-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))
(/.f64 1 (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(/.f64 2 (*.f64 (-.f64 -1 (pow.f64 x 2)) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
(/.f64 1 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
(/.f64 1 (+.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))))
(/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(/.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(/.f64 (-.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (/.f64 (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 (tan.f64 (neg.f64 x)) (/.f64 -1 (tan.f64 x))) -1))
(/.f64 (-.f64 1 (+.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 1 (*.f64 (/.f64 2 (tan.f64 x)) (/.f64 1/2 (tan.f64 x)))) -1))
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))))
(/.f64 2 (*.f64 (-.f64 -1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) -1) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 -1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))))) (+.f64 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) -1))
(/.f64 2 (/.f64 1 (/.f64 (/.f64 2 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 2 (/.f64 2 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (/.f64 -1 (*.f64 (/.f64 1/2 (tan.f64 x)) 2)) (/.f64 -1 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
(/.f64 2 (*.f64 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 2 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))) (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) -1))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) (+.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (fabs.f64 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (fabs.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x)))) (fabs.f64 (tan.f64 x))) -1))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (/.f64 (/.f64 1 (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))) -1))
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 2 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 2 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 1 (fabs.f64 (tan.f64 x))))) (fabs.f64 (tan.f64 x)))) (+.f64 1 (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)) (/.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x)))))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Calls

4 calls:

27.0ms
(tan.f64 x)
25.0ms
x
21.0ms
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b1(*.f64 (tan.f64 x) (tan.f64 x))
0.3b1(tan.f64 x)
Compiler

Compiled 1440 to 712 computations (50.6% saved)

regimes26.0ms (0.3%)

Counts
17 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) x)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 1 (+.f64 1 (-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)))
(/.f64 1 (+.f64 1 (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))))
(/.f64 2 (*.f64 (-.f64 -1 (pow.f64 x 2)) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
(/.f64 1 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(/.f64 2 (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 2 (-.f64 (pow.f64 x 2) 1))))
(/.f64 1 (+.f64 1 (/.f64 (fabs.f64 (tan.f64 x)) (/.f64 1 (fabs.f64 (tan.f64 x))))))
(/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
Calls

3 calls:

9.0ms
(tan.f64 x)
8.0ms
x
5.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
25.2b1x
25.2b1(*.f64 (tan.f64 x) (tan.f64 x))
25.2b1(tan.f64 x)
Compiler

Compiled 195 to 128 computations (34.4% saved)

regimes14.0ms (0.2%)

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

3 calls:

5.0ms
(tan.f64 x)
4.0ms
x
3.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
27.9b1x
27.9b1(*.f64 (tan.f64 x) (tan.f64 x))
27.9b1(tan.f64 x)
Compiler

Compiled 49 to 35 computations (28.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -3.0b remaining (-10.7%)

Threshold costs -3.0b (-10.7%)

Counts
5 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) x)))
Outputs
1
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
28.1b1x
Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012102
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
1
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
1
Compiler

Compiled 38 to 24 computations (36.8% saved)

soundness0.0ms (0%)

end25.0ms (0.3%)

Compiler

Compiled 35 to 17 computations (51.4% saved)

Profiling

Loading profile data...