Details

Time bar (total: 19.4s)

analyze482.0ms (2.5%)

Algorithm
1×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
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample15.6s (80.3%)

Results
7.9s2060×body2048valid
4.6s3118×body1024valid
1.6s110×body4096valid
834.0ms1455×body256valid
734.0ms1513×body512valid
Bogosity

preprocess115.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
1216×rational.json-simplify-26
1132×rational.json-simplify-35
1018×rational.json-simplify-2
1012×rational.json-simplify-1
954×rational.json-simplify-45
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
12127
23927
37627
416127
537427
6119827
7363927
8618827
9762127
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify106.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1216×rational.json-simplify-26
1132×rational.json-simplify-35
1018×rational.json-simplify-2
1012×rational.json-simplify-1
954×rational.json-simplify-45
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
12127
23927
37627
416127
537427
6119827
7363927
8618827
9762127
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
30.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓1.9b
(-.f64 x (tan.f64 x))
✓1.9b
(-.f64 x (sin.f64 x))
Compiler

Compiled 23 to 6 computations (73.9% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite97.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1810×rational.json-1
1810×rational.json-2
1810×rational.json-4
1810×rational.json-3
1802×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
16849
220349
350649
4126449
5502549
Stop Event
1×node limit
Counts
3 → 156
Calls
Call 1
Inputs
(-.f64 x (sin.f64 x))
(-.f64 x (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) 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simplify126.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1472×rational.json-simplify-39
950×rational.json-simplify-1
886×rational.json-simplify-53
748×rational.json-simplify-51
708×rational.json-simplify-43
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03785116
18705034
235184876
365234876
Stop Event
1×node limit
Counts
192 → 254
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.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 -2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -62/2835 (pow.f64 x 9)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) 0)
(+.f64 0 (-.f64 x (sin.f64 x)))
(+.f64 (PI.f64) (+.f64 (-.f64 x (PI.f64)) (neg.f64 (sin.f64 x))))
(+.f64 (PI.f64) (-.f64 (-.f64 x (PI.f64)) (sin.f64 x)))
(+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (sin.f64 x)))
(+.f64 -1 (-.f64 x (-.f64 (sin.f64 x) 1)))
(+.f64 (-.f64 x (PI.f64)) (+.f64 (PI.f64) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 x (PI.f64)) (-.f64 (PI.f64) (sin.f64 x)))
(+.f64 (neg.f64 (PI.f64)) (+.f64 (+.f64 x (PI.f64)) (neg.f64 (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 (-.f64 x (-.f64 (sin.f64 x) 1)) -1)
(+.f64 (-.f64 -1 (sin.f64 x)) (-.f64 1 (neg.f64 x)))
(*.f64 (-.f64 x (sin.f64 x)) 1)
(*.f64 1 (-.f64 x (sin.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) 1/2)
(*.f64 (-.f64 (sin.f64 x) x) -1)
(*.f64 -1 (-.f64 (sin.f64 x) x))
(*.f64 2 (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(*.f64 2 (*.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) -1))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) 1/4)
(*.f64 4 (/.f64 (-.f64 x (sin.f64 x)) 4))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) 1/8)
(*.f64 -2 (*.f64 (-.f64 x (sin.f64 x)) -1/2))
(*.f64 1/2 (*.f64 (-.f64 x (sin.f64 x)) 2))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) -1/2)
(*.f64 -1/2 (*.f64 (-.f64 x (sin.f64 x)) -2))
(*.f64 1/4 (*.f64 (-.f64 x (sin.f64 x)) 4))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) -2)
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 1/2) 2)
(/.f64 (-.f64 x (sin.f64 x)) 1)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) 2)
(/.f64 (-.f64 (sin.f64 x) x) -1)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) -4)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) -2)
(/.f64 (*.f64 2 (*.f64 (-.f64 x (sin.f64 x)) 8)) 16)
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) -1) 4)
(pow.f64 (-.f64 x (sin.f64 x)) 1)
(neg.f64 (-.f64 (sin.f64 x) x))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) 0)
(+.f64 0 (-.f64 x (tan.f64 x)))
(+.f64 (PI.f64) (+.f64 (-.f64 x (PI.f64)) (neg.f64 (tan.f64 x))))
(+.f64 (PI.f64) (-.f64 (-.f64 x (PI.f64)) (tan.f64 x)))
(+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (tan.f64 x)))
(+.f64 -1 (-.f64 (-.f64 x (tan.f64 x)) -1))
(+.f64 (-.f64 x (PI.f64)) (+.f64 (PI.f64) (neg.f64 (tan.f64 x))))
(+.f64 (-.f64 x (PI.f64)) (-.f64 (PI.f64) (tan.f64 x)))
(+.f64 (neg.f64 (PI.f64)) (+.f64 (+.f64 x (PI.f64)) (neg.f64 (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) x)
(+.f64 (-.f64 (-.f64 x (tan.f64 x)) -1) -1)
(+.f64 (-.f64 -1 (tan.f64 x)) (-.f64 1 (neg.f64 x)))
(*.f64 (-.f64 x (tan.f64 x)) 1)
(*.f64 1 (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (tan.f64 x)) 2) 1/2)
(*.f64 (-.f64 (tan.f64 x) x) -1)
(*.f64 -1 (-.f64 (tan.f64 x) x))
(*.f64 2 (*.f64 (-.f64 x (tan.f64 x)) 1/2))
(*.f64 (*.f64 (-.f64 x (tan.f64 x)) 4) 1/4)
(*.f64 (*.f64 (-.f64 x (tan.f64 x)) -2) -1/2)
(*.f64 4 (/.f64 (-.f64 x (tan.f64 x)) 4))
(*.f64 (*.f64 (-.f64 x (tan.f64 x)) 8) 1/8)
(*.f64 1/2 (*.f64 (-.f64 x (tan.f64 x)) 2))
(*.f64 (*.f64 (-.f64 x (tan.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (-.f64 x (tan.f64 x)) 4))
(/.f64 (-.f64 x (tan.f64 x)) 1)
(/.f64 1 (/.f64 1 (-.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) 2) 2)
(/.f64 (-.f64 (tan.f64 x) x) -1)
(/.f64 -1 (-.f64 0 (/.f64 1 (-.f64 x (tan.f64 x)))))
(/.f64 2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))))
(/.f64 2 (/.f64 2 (-.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) -2) -2)
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) -4) -4)
(/.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2)) -2)
(/.f64 (*.f64 2 (*.f64 (-.f64 x (tan.f64 x)) 8)) 16)
(/.f64 (/.f64 (*.f64 (-.f64 x (tan.f64 x)) -4) -1) 4)
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 0)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
(+.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 0)
(-.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 (-.f64 x (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1))
(*.f64 (-.f64 x (sin.f64 x)) (*.f64 -1 (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 x (sin.f64 x)) (*.f64 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))) 1/2))
(*.f64 (-.f64 x (sin.f64 x)) (*.f64 (/.f64 2 (-.f64 x (tan.f64 x))) 1/2))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (/.f64 1/2 (-.f64 x (tan.f64 x))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (*.f64 -1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (sin.f64 x) x) (*.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (-.f64 (sin.f64 x) x) (*.f64 (*.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))) 1))
(*.f64 (-.f64 (sin.f64 x) x) (*.f64 -2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(*.f64 (-.f64 (sin.f64 x) x) (*.f64 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) 1/2))
(*.f64 -1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(*.f64 2 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(*.f64 2 (*.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 x (tan.f64 x)))) 1/2)
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2) 1))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/4 (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 1 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) 1/2)) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) 1/2)) (/.f64 1/2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 4 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (-.f64 x (tan.f64 x)) 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4))
(*.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4) 1/4)
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 2 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2)))))
(*.f64 -2 (*.f64 (-.f64 (sin.f64 x) x) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(*.f64 -2 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (-.f64 x (tan.f64 x)) -2)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) -1)
(*.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) (*.f64 (-.f64 x (sin.f64 x)) 2))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (*.f64 (-.f64 x (tan.f64 x)) 2) (*.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 1/2 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 x (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) 1))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (*.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2)))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2))))
(*.f64 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (tan.f64 x) x)))
(*.f64 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 x (sin.f64 x)) -1/2))
(*.f64 (*.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (tan.f64 x) x)) -1/2)
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) 2)) (/.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (/.f64 (*.f64 (-.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 2 (-.f64 x (tan.f64 x))) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))) 2)
(*.f64 1/4 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 2 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2) (*.f64 (-.f64 x (sin.f64 x)) 4))
(*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 x (sin.f64 x)) -2))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 2 (-.f64 x (tan.f64 x))))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 -1/362880 (pow.f64 x 9)))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (*.f64 1/5040 (pow.f64 x 7)))))
(+.f64 (*.f64 -1/120 (pow.f64 x 5)) (+.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/362880 (pow.f64 x 9))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/362880 (pow.f64 x 9)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))
(+.f64 (*.f64 (pow.f64 x 3) -1/3) (*.f64 (pow.f64 x 5) -2/15))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))
(+.f64 (*.f64 (pow.f64 x 3) -1/3) (+.f64 (*.f64 (pow.f64 x 5) -2/15) (*.f64 (pow.f64 x 7) -17/315)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -62/2835 (pow.f64 x 9)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (*.f64 (pow.f64 x 7) -17/315) (+.f64 (*.f64 (pow.f64 x 3) -1/3) (+.f64 (*.f64 (pow.f64 x 5) -2/15) (*.f64 (pow.f64 x 9) -62/2835))))
(+.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/3) (*.f64 (pow.f64 x 5) -2/15)) (+.f64 (*.f64 (pow.f64 x 7) -17/315) (*.f64 (pow.f64 x 9) -62/2835)))
(+.f64 (*.f64 (pow.f64 x 3) -1/3) (+.f64 (*.f64 (pow.f64 x 7) -17/315) (+.f64 (*.f64 (pow.f64 x 5) -2/15) (*.f64 (pow.f64 x 9) -62/2835))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1/2))
(+.f64 (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (-.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sin.f64 x) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (+.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (-.f64 (*.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 (+.f64 1 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sin.f64 x) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (-.f64 (*.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (*.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (+.f64 (*.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
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(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) 1/2)) (/.f64 1/2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 4 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (-.f64 x (tan.f64 x)) 4)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4) 1/4)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 8 (-.f64 x (tan.f64 x)))))
(*.f64 (-.f64 x (sin.f64 x)) (*.f64 8 (/.f64 -1/8 (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 -1/8 (-.f64 (tan.f64 x) x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 -4 (-.f64 x (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1/4 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 x (sin.f64 x)) (*.f64 -4 (/.f64 1/4 (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 2 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2)))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 -4 (-.f64 x (tan.f64 x)))))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1/4 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 x (sin.f64 x)) (*.f64 -4 (/.f64 1/4 (-.f64 (tan.f64 x) x))))
(*.f64 -2 (*.f64 (-.f64 (sin.f64 x) x) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 -2 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (-.f64 x (tan.f64 x)) -2)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) -1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) (*.f64 (-.f64 x (sin.f64 x)) 2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (*.f64 (-.f64 x (tan.f64 x)) 2) (*.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(*.f64 1/2 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) 1))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (*.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 x (sin.f64 x)) -1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (tan.f64 x) x)) -1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) 2)) (/.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (*.f64 1/2 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (/.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (*.f64 1/2 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 -1/2 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 -2 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (/.f64 (*.f64 (-.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1/2 (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 2 (-.f64 x (tan.f64 x))) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1/2 (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1/2 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 2 (-.f64 x (tan.f64 x))) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))) 2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 1/4 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 2 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2) (*.f64 (-.f64 x (sin.f64 x)) 4))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 x (sin.f64 x)) -2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 2 (-.f64 x (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

eval47.0ms (0.2%)

Compiler

Compiled 4592 to 1710 computations (62.8% saved)

prune34.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2495254
Fresh000
Picked011
Done000
Total2496255
Error
0b
Counts
255 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
▶30.9b
(/.f64 x (-.f64 x (tan.f64 x)))
▶32.5b
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶30.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
30.5b
1
33.1b
-1/2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 (tan.f64 x) x))
✓0.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓1.9b
(-.f64 (tan.f64 x) x)
✓1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 32 to 11 computations (65.6% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite84.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1432×rational.json-simplify-35
1076×rational.json-1
1076×rational.json-2
1076×rational.json-4
1076×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01172
18966
222266
347366
4104766
5329166
Stop Event
1×node limit
Counts
4 → 242
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(-.f64 (tan.f64 x) x)
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 1 (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 0 (+.f64 (PI.f64) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 (neg.f64 x) (-.f64 (PI.f64) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (PI.f64) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) x) (+.f64 (sin.f64 x) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) x) (-.f64 0 (-.f64 (PI.f64) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) x) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (sin.f64 x))))))) 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simplify127.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1224×rational.json-simplify-46
1164×rational.json-simplify-50
1102×rational.json-simplify-49
1024×rational.json-simplify-35
692×rational.json-simplify-44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05968596
115288248
265698112
Stop Event
1×node limit
Counts
290 → 390
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
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(/.f64 8 (*.f64 2 (*.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(/.f64 8 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 8) (-.f64 (sin.f64 x) x)))
(/.f64 8 (+.f64 (/.f64 (*.f64 (-.f64 x (tan.f64 x)) 4) (-.f64 x (sin.f64 x))) (/.f64 (*.f64 (-.f64 x (tan.f64 x)) 4) (-.f64 x (sin.f64 x)))))
(/.f64 (/.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 4)
(/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4) (+.f64 (/.f64 -2 (-.f64 x (sin.f64 x))) (/.f64 -2 (-.f64 x (sin.f64 x)))))
(/.f64 -4 (+.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 2) (-.f64 x (sin.f64 x))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 2) (-.f64 x (sin.f64 x)))))
(/.f64 -4 (+.f64 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -2 (-.f64 x (sin.f64 x))))) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -2 (-.f64 x (sin.f64 x)))))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1/2 (-.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (-.f64 (sin.f64 x) x))))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -2 (-.f64 x (sin.f64 x)))) (*.f64 (-.f64 (tan.f64 x) x) (*.f64 (/.f64 -2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(/.f64 (*.f64 2 (-.f64 x (sin.f64 x))) (*.f64 (-.f64 (tan.f64 x) x) -2))
(/.f64 16 (+.f64 (*.f64 2 (*.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))) (*.f64 2 (*.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))
(/.f64 16 (+.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 8) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 8) (-.f64 (sin.f64 x) x))))
(/.f64 (*.f64 2 (/.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))) 8)
(/.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) x) 4)) (*.f64 (-.f64 (tan.f64 x) x) 8))
(/.f64 (*.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (*.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -2 (-.f64 x (sin.f64 x)))) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -2 (-.f64 x (sin.f64 x))))))
(/.f64 (*.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (+.f64 (*.f64 (-.f64 (tan.f64 x) x) (*.f64 (/.f64 -2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))) (*.f64 (-.f64 (tan.f64 x) x) (*.f64 (/.f64 -2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))
(/.f64 (/.f64 1/2 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1/2)
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) (*.f64 (-.f64 (tan.f64 x) x) 1/2))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) 2)))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 (tan.f64 x) x)))))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 2) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 (tan.f64 x) x)))) 2))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 4) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 (tan.f64 x) x)))) 4))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 (tan.f64 x) x)))) -1))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) -2) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 (tan.f64 x) x)))) -2))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 8) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 (tan.f64 x) x)))) 8))
(/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2)) (*.f64 (-.f64 (tan.f64 x) x) -2))
(/.f64 (*.f64 2 (*.f64 2 (-.f64 x (sin.f64 x)))) (*.f64 (-.f64 x (tan.f64 x)) 4))
(/.f64 (*.f64 2 (*.f64 2 (/.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))) 16)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2))) (*.f64 (-.f64 x (tan.f64 x)) 4))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) x) 4))) (*.f64 2 (*.f64 (-.f64 (tan.f64 x) x) 8)))
(/.f64 -1/2 (-.f64 0 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1/2 (-.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) -1)
(/.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) x) 4)) (-.f64 (tan.f64 x) x)) 8)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) x) 4))) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) 8)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) 4)) 1/4)
(/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4)) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) 4)))
(/.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (-.f64 0 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (-.f64 (sin.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 2 (-.f64 x (sin.f64 x)))) (*.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2))) (*.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) 4)) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) 4))) 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))) -2)
(/.f64 (+.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) x) 4)) (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) x) 4)) (-.f64 (tan.f64 x) x))) 16)
(/.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2)))) (*.f64 2 (*.f64 (-.f64 x (tan.f64 x)) 4)))
(/.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4)) (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) 4))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2))) (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2)))) (*.f64 (-.f64 (tan.f64 x) x) 4))
(/.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 x (sin.f64 x)))) (neg.f64 (*.f64 2 (-.f64 x (sin.f64 x))))) (*.f64 (-.f64 (tan.f64 x) x) 4))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (-.f64 x (sin.f64 x)))) (*.f64 2 (*.f64 2 (-.f64 x (sin.f64 x))))) (*.f64 2 (*.f64 (-.f64 x (tan.f64 x)) 4)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (/.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))) (*.f64 2 (*.f64 2 (/.f64 4 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))) 32)
(/.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 0 (/.f64 -1 (-.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 (-.f64 (tan.f64 x) x))) (-.f64 0 (/.f64 -2 (-.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) (-.f64 0 (*.f64 (-.f64 (tan.f64 x) x) 1/2)))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2)))) (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 4)))
(/.f64 (neg.f64 (*.f64 2 (*.f64 2 (-.f64 x (sin.f64 x))))) (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4))) (*.f64 (-.f64 (tan.f64 x) x) 4))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4))) (-.f64 0 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) 4))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2)))) (*.f64 (-.f64 (tan.f64 x) x) -2))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 x (sin.f64 x))))) (*.f64 (-.f64 (tan.f64 x) x) -2))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 0)
(+.f64 0 (/.f64 1 (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 0)
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(*.f64 2 (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(*.f64 (*.f64 (-.f64 (tan.f64 x) x) 2) (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 -1 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 4 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4))
(*.f64 (/.f64 2 (-.f64 (tan.f64 x) x)) 1/2)
(*.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4) 1/4)
(*.f64 1/2 (/.f64 2 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) 2)
(*.f64 1/4 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4))
(*.f64 (*.f64 (-.f64 (tan.f64 x) x) 1/2) (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) 1/2))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) -1)
(*.f64 (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) 2))
(*.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4) 4)
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(neg.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(neg.f64 (/.f64 1 (-.f64 x (tan.f64 x))))
Outputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/362880 (pow.f64 x 9)))))
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/362880 (pow.f64 x 9))) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/362880 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 (pow.f64 x 5) 2/15))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 (pow.f64 x 5) 2/15) (*.f64 (pow.f64 x 7) 17/315)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (+.f64 (*.f64 (pow.f64 x 5) 2/15) (*.f64 (pow.f64 x 9) 62/2835)) (*.f64 (pow.f64 x 7) 17/315)))
(+.f64 (*.f64 (pow.f64 x 9) 62/2835) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 (pow.f64 x 5) 2/15) (*.f64 (pow.f64 x 7) 17/315))))
(+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 (pow.f64 x 5) 2/15) (+.f64 (*.f64 (pow.f64 x 9) 62/2835) (*.f64 (pow.f64 x 7) 17/315))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1/2))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (-.f64 (*.f64 27/112000 (pow.f64 x 6)) 1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (-.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sin.f64 x) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))
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(/.f64 (neg.f64 (/.f64 2 (-.f64 (tan.f64 x) x))) (-.f64 0 (/.f64 -2 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) (-.f64 0 (*.f64 (-.f64 (tan.f64 x) x) 1/2)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2)))) (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 4)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (neg.f64 (*.f64 2 (*.f64 2 (-.f64 x (sin.f64 x))))) (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 4)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4))) (*.f64 (-.f64 (tan.f64 x) x) 4))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 4))) (-.f64 0 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) 4))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) x) 2)))) (*.f64 (-.f64 (tan.f64 x) x) -2))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 x (sin.f64 x))))) (*.f64 (-.f64 (tan.f64 x) x) -2))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 0)
(/.f64 -1 (-.f64 x (tan.f64 x)))
(+.f64 0 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 -1 (-.f64 x (tan.f64 x)))
(+.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 -1/2 (-.f64 x (tan.f64 x))) (/.f64 -1/2 (-.f64 x (tan.f64 x))))
(*.f64 2 (/.f64 -1/2 (-.f64 x (tan.f64 x))))
(-.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 0)
(/.f64 -1 (-.f64 x (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 -1 (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 -1 (-.f64 x (tan.f64 x)))
(*.f64 2 (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 -1/2 (-.f64 x (tan.f64 x))) (/.f64 -1/2 (-.f64 x (tan.f64 x))))
(*.f64 2 (/.f64 -1/2 (-.f64 x (tan.f64 x))))
(*.f64 (*.f64 (-.f64 (tan.f64 x) x) 2) (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 2 (-.f64 (tan.f64 x) x)) (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (-.f64 (tan.f64 x) x)))
(*.f64 -1 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(*.f64 4 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4))
(/.f64 -1 (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 2 (-.f64 (tan.f64 x) x)) 1/2)
(*.f64 1/2 (/.f64 2 (-.f64 (tan.f64 x) x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4) 1/4)
(/.f64 -1 (-.f64 x (tan.f64 x)))
(*.f64 1/2 (/.f64 2 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) 2)
(+.f64 (/.f64 -1/2 (-.f64 x (tan.f64 x))) (/.f64 -1/2 (-.f64 x (tan.f64 x))))
(*.f64 2 (/.f64 -1/2 (-.f64 x (tan.f64 x))))
(*.f64 1/4 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4))
(/.f64 -1 (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 (-.f64 (tan.f64 x) x) 1/2) (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 1/2 (-.f64 (tan.f64 x) x)) (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 1/2 (*.f64 (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (-.f64 (tan.f64 x) x))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) 1/2))
(*.f64 (*.f64 1/2 (-.f64 (tan.f64 x) x)) (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 1/2 (*.f64 (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) -1)
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) 2))
(*.f64 (*.f64 2 (-.f64 (tan.f64 x) x)) (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4) 4)
(/.f64 -1 (-.f64 x (tan.f64 x)))
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 -1 (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(neg.f64 (/.f64 1 (-.f64 x (tan.f64 x))))
(/.f64 -1 (-.f64 x (tan.f64 x)))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 9/40 (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 9/40 (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 9/40 (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 9/40 (pow.f64 x 2))

rewrite360.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
3388×rational.json-simplify-35
2202×rational.json-simplify-51
1832×rational.json-simplify-2
1160×rational.json-simplify-1
1072×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
14513
29513
317913
431613
567613
6159913
7261913
8315013
9377113
10445213
11487013
12487013
13487013
14560213
15640413
16738313
17780113
18786013
19786013
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/40 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9/40 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 9/80) (*.f64 (pow.f64 x 2) 9/80))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 9/40 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 9/40 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 9/20) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 9/10) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 9/5) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 18/5) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 4) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4)) 4096)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)))))

simplify565.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
6856×rational.json-simplify-43
4292×rational.json-simplify-35
1466×rational.json-simplify-2
1032×rational.json-simplify-1
684×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056234
1141234
2302234
3737234
41999234
53465234
64025234
74206234
84341234
94473234
104605234
114811234
124952234
134952234
145084234
155216234
165348234
175480234
185612234
195744234
205876234
216008234
226140234
236140234
246272234
Stop Event
1×node limit
Counts
18 → 19
Calls
Call 1
Inputs
(+.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) 9/80) (*.f64 (pow.f64 x 2) 9/80))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(/.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(/.f64 (*.f64 (pow.f64 x 2) 9/20) 2)
(/.f64 (*.f64 (pow.f64 x 2) 9/10) 4)
(/.f64 (*.f64 (pow.f64 x 2) 9/5) 8)
(/.f64 (*.f64 (pow.f64 x 2) 18/5) 16)
(/.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 32)
(/.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 64)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 128)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 256)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 512)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 4) 1024)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4) 2048)
(/.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4)) 4096)
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
Outputs
(+.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(*.f64 9/40 (pow.f64 x 2))
(+.f64 0 (*.f64 9/40 (pow.f64 x 2)))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) 9/80) (*.f64 (pow.f64 x 2) 9/80))
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 9/20) 2)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 9/10) 4)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 9/5) 8)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 18/5) 16)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 32)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 64)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 128)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 256)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 512)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 4) 1024)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4) 2048)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4)) 4096)
(*.f64 9/40 (pow.f64 x 2))
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(*.f64 9/40 (pow.f64 x 2))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (-.f64 x (tan.f64 x)))
1.9b
(-.f64 x (tan.f64 x))
Compiler

Compiled 14 to 4 computations (71.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite83.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1546×rational.json-1
1546×rational.json-2
1546×rational.json-4
1546×rational.json-3
1538×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
15417
217017
341717
4111417
5432317
Stop Event
1×node limit
Counts
1 → 100
Calls
Call 1
Inputs
(/.f64 x (-.f64 x (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/2 (/.f64 2 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2))))) 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simplify119.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1458×rational.json-simplify-61
1194×rational.json-simplify-35
1176×rational.json-simplify-2
1112×rational.json-simplify-51
1032×rational.json-simplify-55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02273422
15123350
214343210
343843134
478123134
Stop Event
1×node limit
Counts
112 → 157
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
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(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
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(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
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(*.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 x (*.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x))))))
(*.f64 x (*.f64 1/2 (/.f64 2 (-.f64 x (tan.f64 x)))))
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(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 x (tan.f64 x))))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1/2))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))
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(*.f64 -1 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))
(*.f64 2 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2))
(*.f64 (/.f64 (*.f64 x -2) (-.f64 (tan.f64 x) x)) 1/2)
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) -4)))
(*.f64 (*.f64 x 4) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) 1/4))
(*.f64 (*.f64 x 4) (*.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (/.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 2 (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (*.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)) (/.f64 1 (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (*.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)) (/.f64 1/2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 4 (/.f64 x (*.f64 (-.f64 (tan.f64 x) x) -4)))
(*.f64 4 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4))
(*.f64 -2 (*.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(*.f64 -2 (/.f64 x (*.f64 (-.f64 (tan.f64 x) x) 2)))
(*.f64 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 1/4)
(*.f64 (*.f64 x 8) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8)))
(*.f64 (*.f64 x -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(*.f64 (*.f64 x -4) (/.f64 1 (*.f64 2 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2)))))
(*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1)
(*.f64 1/2 (/.f64 (*.f64 x -2) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) -2) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) (+.f64 x x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(*.f64 (*.f64 x -2) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(*.f64 (*.f64 x -2) (*.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 x -2) (/.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2)))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))
(*.f64 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))) (*.f64 x 1/2))
(*.f64 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 x -1/2))
(*.f64 (*.f64 2 (/.f64 x (-.f64 (tan.f64 x) x))) -1/2)
(*.f64 -1/2 (*.f64 2 (/.f64 x (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2) 2)
(*.f64 (/.f64 2 (-.f64 x (tan.f64 x))) (*.f64 x 1/2))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) -2) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (*.f64 (-.f64 x (tan.f64 x)) (/.f64 1/2 x)) (/.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) -4)) (*.f64 x 4))
(*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (*.f64 x -2))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (*.f64 x -1/2) (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 x -1/2) (/.f64 2 (-.f64 (tan.f64 x) x)))
(*.f64 1/4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4))
(*.f64 (*.f64 x 1/2) (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (*.f64 x 1/2) (/.f64 2 (-.f64 x (tan.f64 x))))
(*.f64 (*.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))) -2)
(*.f64 (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) 1/4) (*.f64 x 4))
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x))))) x)
(*.f64 (*.f64 1/2 (/.f64 2 (-.f64 x (tan.f64 x)))) x)
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x)))) (neg.f64 x))
(*.f64 (*.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))) (*.f64 x 4))
(*.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1/2) (+.f64 x x))
(*.f64 (*.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 (-.f64 x (tan.f64 x)) x))
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) -2) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 1/2 x))
(*.f64 (/.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (*.f64 (-.f64 x (tan.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (*.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) -2) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 1 x))
(*.f64 (/.f64 2 (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 (-.f64 x (tan.f64 x)) x))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))) -1)
(*.f64 (/.f64 x (*.f64 (-.f64 (tan.f64 x) x) -4)) 4)
(*.f64 (/.f64 x (*.f64 (-.f64 (tan.f64 x) x) 2)) -2)
(*.f64 (/.f64 2 (-.f64 (tan.f64 x) x)) (*.f64 x -1/2))
(*.f64 (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)) (*.f64 x -4))
(*.f64 (/.f64 1/2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (*.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 4)
(*.f64 (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8)) (*.f64 x 8))
(*.f64 (/.f64 1 (*.f64 2 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2)))) (*.f64 x -4))
(*.f64 (/.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2)))) (*.f64 x -2))
(*.f64 (/.f64 1 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))) (*.f64 x -2))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(neg.f64 (/.f64 x (-.f64 (tan.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(neg.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))
Outputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 6/5 (-.f64 (*.f64 (pow.f64 x 2) 1/175) (*.f64 3 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 2) 1/175) (*.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 (pow.f64 x 2) 1/175) (-.f64 (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 6/5 (+.f64 (*.f64 2/7875 (pow.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 2) 1/175) (*.f64 3 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/175) (*.f64 2/7875 (pow.f64 x 4))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2)))))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2))
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 (-.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))) -1)
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 0 (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 x (*.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 x (*.f64 1/2 (/.f64 2 (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 1 (*.f64 x (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))))))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x)))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) x)))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1/2))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (neg.f64 x) (*.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 -1 (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 -1 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 2 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (*.f64 x -2) (-.f64 (tan.f64 x) x)) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) -4)))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 x 4) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) 1/4))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (*.f64 x 4) (*.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (/.f64 1 (/.f64 1 x)))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 x (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) x))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 (/.f64 (*.f64 x x) (-.f64 x (tan.f64 x))) (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 2 (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 x (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) x))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))
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(*.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) 2) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 2 x) (/.f64 x (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 x (tan.f64 x)) 2))))
(*.f64 (/.f64 2 x) (*.f64 x (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 2 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 (*.f64 x x) (-.f64 x (tan.f64 x))) 2))
(*.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 4)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8)) (*.f64 x 8))
(*.f64 x (*.f64 8 (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8))))
(*.f64 (*.f64 x 8) (/.f64 1/8 (-.f64 x (tan.f64 x))))
(*.f64 x (*.f64 8 (/.f64 1/8 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (*.f64 2 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2)))) (*.f64 x -4))
(*.f64 (*.f64 x -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(*.f64 x (*.f64 -4 (/.f64 1/4 (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 x -4) (/.f64 1/4 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2)))) (*.f64 x -2))
(*.f64 -2 (*.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(*.f64 x (*.f64 -2 (/.f64 -1/2 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))) (*.f64 x -2))
(*.f64 -2 (*.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(*.f64 x (*.f64 -2 (/.f64 -1/2 (-.f64 x (tan.f64 x)))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))
(/.f64 x (-.f64 x (tan.f64 x)))

eval135.0ms (0.7%)

Compiler

Compiled 11179 to 4911 computations (56.1% saved)

prune101.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6300630
Fresh022
Picked011
Done033
Total6306636
Error
0b
Counts
636 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓30.9b
(/.f64 x (-.f64 x (tan.f64 x)))
✓32.5b
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓30.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
30.5b
1
33.1b
-1/2
Compiler

Compiled 41 to 29 computations (29.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓30.9b
(/.f64 x (-.f64 x (tan.f64 x)))
✓32.5b
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓30.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
30.5b
1
33.1b
-1/2
Compiler

Compiled 41 to 29 computations (29.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓30.9b
(/.f64 x (-.f64 x (tan.f64 x)))
✓32.5b
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓30.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
30.5b
1
33.1b
-1/2
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes19.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Calls

2 calls:

12.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 48 to 27 computations (43.8% saved)

bsearch52.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
1.918871120989686e-6
611.919102440562
27.0ms
-41843.64776259805
-8.662092423850182e-7
Results
47.0ms304×body256valid
Compiler

Compiled 394 to 294 computations (25.4% saved)

regimes13.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
Outputs
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch187.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
1.918871120989686e-6
611.919102440562
126.0ms
-41843.64776259805
-8.662092423850182e-7
Results
183.0ms304×body256valid
Compiler

Compiled 337 to 256 computations (24% saved)

regimes83.0ms (0.4%)

Counts
3 → 3
Calls
Call 1
Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))
Outputs
(/.f64 x (-.f64 x (tan.f64 x)))
-1/2
(/.f64 x (-.f64 x (tan.f64 x)))
Calls

1 calls:

82.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch54.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
1.918871120989686e-6
611.919102440562
28.0ms
-41843.64776259805
-8.662092423850182e-7
Results
50.0ms304×body256valid
Compiler

Compiled 223 to 161 computations (27.8% saved)

regimes9.0ms (0%)

Accuracy

Total -62.4b remaining (-9699.7%)

Threshold costs -62.4b (-9699.7%)

Counts
2 → 3
Calls
Call 1
Inputs
-1/2
1
Outputs
1
-1/2
1
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch275.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
248.0ms
1.918871120989686e-6
611.919102440562
27.0ms
-41843.64776259805
-8.662092423850182e-7
Results
272.0ms304×body256valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045237
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5418731071652181/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3112888062438487/576460752303423488) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -9/4) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 2589569785738035/1125899906842624) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3039929748475085/2251799813685248) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 5854679515581645/4503599627370496) -1/2 (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 2589569785738035/562949953421312) -1/2 1))
-1/2
Outputs
(if (<=.f64 x -5418731071652181/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3112888062438487/576460752303423488) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -9/4) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 2589569785738035/1125899906842624) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3039929748475085/2251799813685248) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 5854679515581645/4503599627370496) -1/2 (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 2589569785738035/562949953421312) -1/2 1))
-1/2
Compiler

Compiled 98 to 57 computations (41.8% saved)

soundness0.0ms (0%)

end501.0ms (2.6%)

Compiler

Compiled 94 to 48 computations (48.9% saved)

Profiling

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