Details

Time bar (total: 15.5s)

analyze477.0ms (3.1%)

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)

sample8.1s (51.8%)

Results
5.0s2089×body2048valid
1.9s3051×body1024valid
597.0ms1569×body512valid
333.0ms1436×body256valid
139.0ms111×body4096valid
Bogosity

preprocess155.0ms (1%)

Algorithm
2×egg-herbie
Rules
1016×fma-def
606×distribute-lft-in
520×associate-/r*
394×associate--r-
372×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
011
Stop Event
1×saturated
1×saturated
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)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify155.0ms (1%)

Algorithm
1×egg-herbie
Rules
1016×fma-def
606×distribute-lft-in
520×associate-/r*
394×associate--r-
372×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
Stop Event
1×saturated
Counts
1 → 2
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)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

eval0.0ms (0%)

Compiler

Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
32.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.8b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓1.8b
(-.f64 (sin.f64 x) x)
✓1.8b
(-.f64 (tan.f64 x) 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 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.0ms
x
@-inf
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
0.0ms
x
@0
(-.f64 (tan.f64 x) x)
0.0ms
x
@inf
(-.f64 (tan.f64 x) x)
0.0ms
x
@-inf
(-.f64 (tan.f64 x) x)

rewrite126.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1604×associate-/r*
1560×associate-/l*
1136×*-commutative
816×associate-/r/
530×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
120749
2313649
Stop Event
1×node limit
Counts
3 → 247
Calls
Call 1
Inputs
(-.f64 (tan.f64 x) x)
(-.f64 (sin.f64 x) x)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Outputs
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x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))

simplify188.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1332×associate-*r*
1154×associate-*l*
1056×associate-/l*
876×associate-/r*
816×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067313291
1210613149
Stop Event
1×node limit
Counts
283 → 424
Calls
Call 1
Inputs
(*.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 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.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))
-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 (tan.f64 x) (neg.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (neg.f64 x) (tan.f64 x))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (tan.f64 x) x) 1)
(*.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (tan.f64 x) x) 1)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (/.f64 1 (+.f64 x (tan.f64 x)))))
(/.f64 (+.f64 x (tan.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (tan.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (tan.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 1 (-.f64 (tan.f64 x) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (*.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
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(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.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))))
(fma.f64 17/315 (pow.f64 x 7) (fma.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 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(*.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))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/120))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -1/5040)))
(+.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)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -1/5040))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -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 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -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 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (-.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) 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 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (-.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)))) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) 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)))
(+.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 1 (*.f64 -1 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))
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(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3))) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
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(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 x (*.f64 (+.f64 x (sin.f64 x)) (*.f64 x (+.f64 x (sin.f64 x)))))) (/.f64 1 (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 6)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (sin.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(*.f64 (+.f64 x (tan.f64 x)) (*.f64 (+.f64 x (tan.f64 x)) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 x (tan.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(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))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

eval146.0ms (0.9%)

Compiler

Compiled 10663 to 3708 computations (65.2% saved)

prune128.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4186424
Fresh000
Picked011
Done000
Total4187425
Error
0b
Counts
425 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.3b
(fma.f64 9/40 (*.f64 x x) -1/2)
✓32.8b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶32.5b
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
▶32.8b
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
▶32.9b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
33.0b
1
30.6b
-1/2
Compiler

Compiled 56 to 35 computations (37.5% saved)

localize28.0ms (0.2%)

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))
1.8b
(-.f64 (sin.f64 x) x)
1.8b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 32 to 11 computations (65.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite112.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
992×distribute-rgt-in
964×associate-/r*
946×distribute-lft-in
822×associate-/l*
608×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
123844
2327044
Stop Event
1×node limit
Counts
2 → 211
Calls
Call 1
Inputs
(*.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 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 x) 1 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 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simplify164.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
920×associate-/l*
784×associate-*r*
738×associate-*l*
730×associate-/r*
652×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067314333
1205013459
Stop Event
1×node limit
Counts
235 → 344
Calls
Call 1
Inputs
-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 3 (pow.f64 x 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
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(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(pow.f64 (-.f64 (tan.f64 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -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 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -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 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (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 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (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))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) 1) (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.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 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.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 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) 1) (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 3 (pow.f64 x 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 6/5 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -6/5 x))
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (/.f64 6/5 x))
(+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (/.f64 -6/5 x))
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) -2/7875)) (/.f64 6/5 x))
(+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (+.f64 (*.f64 (pow.f64 x 3) -2/7875) (/.f64 -6/5 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)))) (/.f64 1 x))
(+.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (*.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))) (/.f64 -1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)))) (/.f64 1 x))
(+.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (*.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))) (/.f64 -1 x))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (+.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 0 x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 x) 1 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (+.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 0 x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) 1)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) 1) (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 1 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x))) (*.f64 1 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 1 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))) (*.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
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(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(+.f64 (*.f64 x (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (tan.f64 x) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(+.f64 (*.f64 (tan.f64 x) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 x (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (*.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 -1 (/.f64 -1 (-.f64 (tan.f64 x) x)))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) -1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)))
(*.f64 (fma.f64 x x (pow.f64 (tan.f64 x) 2)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 x (tan.f64 x)) (fma.f64 x x (pow.f64 (tan.f64 x) 2))) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4)))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 x 6))) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6))) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (tan.f64 x) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 6))))
(pow.f64 (-.f64 (tan.f64 x) x) -1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (-.f64 (tan.f64 x) x))
✓0.1b
(/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))
✓1.8b
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
1.8b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 37 to 7 computations (81.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite157.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1904×associate-/l*
1380×associate-/r/
598×associate-/l/
268×+-commutative
262×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01065
123565
2375265
Stop Event
1×node limit
Counts
3 → 280
Calls
Call 1
Inputs
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 x (-.f64 (tan.f64 x) x))
Outputs
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simplify228.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1186×associate-*r*
1066×*-commutative
964×associate-*l*
914×associate-/l*
850×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081621774
1282721522
Stop Event
1×node limit
Counts
316 → 531
Calls
Call 1
Inputs
-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 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(-.f64 (+.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 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (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 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))
(/.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 17/10)
(-.f64 (+.f64 (*.f64 307/1400 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) 17/10)
(-.f64 (+.f64 (*.f64 307/1400 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 -1247/126000 (pow.f64 x 4)))) 17/10)
(*.f64 -1 (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))))
(*.f64 -1 (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))))
(/.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 6/5)
(-.f64 (+.f64 (*.f64 -1/175 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) 6/5)
(-.f64 (+.f64 (*.f64 -2/7875 (pow.f64 x 4)) (+.f64 (*.f64 -1/175 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))) 6/5)
-1
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
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(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) x) -1)
(pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 1/3)
(neg.f64 (/.f64 x (neg.f64 (-.f64 (tan.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -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 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
1
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))))
(-.f64 (+.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 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
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)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x)) (+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (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 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (*.f64 x x))
(/.f64 (/.f64 3 x) x)
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 17/10)
(+.f64 (/.f64 3 (*.f64 x x)) -17/10)
(+.f64 (/.f64 (/.f64 3 x) x) -17/10)
(-.f64 (+.f64 (*.f64 307/1400 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) 17/10)
(+.f64 (fma.f64 307/1400 (*.f64 x x) (/.f64 3 (*.f64 x x))) -17/10)
(+.f64 (fma.f64 307/1400 (*.f64 x x) (/.f64 (/.f64 3 x) x)) -17/10)
(-.f64 (+.f64 (*.f64 307/1400 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 -1247/126000 (pow.f64 x 4)))) 17/10)
(+.f64 (+.f64 (fma.f64 307/1400 (*.f64 x x) (/.f64 3 (*.f64 x x))) (*.f64 (pow.f64 x 4) -1247/126000)) -17/10)
(+.f64 (fma.f64 307/1400 (*.f64 x x) (/.f64 (/.f64 3 x) x)) (+.f64 (*.f64 (pow.f64 x 4) -1247/126000) -17/10))
(*.f64 -1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) x)))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) x))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (sin.f64 x) x))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))))
(*.f64 -1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) x)))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) x))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (sin.f64 x) x))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (*.f64 x x))
(/.f64 (/.f64 3 x) x)
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 6/5)
(+.f64 (/.f64 3 (*.f64 x x)) -6/5)
(+.f64 (/.f64 (/.f64 3 x) x) -6/5)
(-.f64 (+.f64 (*.f64 -1/175 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) 6/5)
(+.f64 (fma.f64 -1/175 (*.f64 x x) (/.f64 3 (*.f64 x x))) -6/5)
(+.f64 (fma.f64 -1/175 (*.f64 x x) (/.f64 (/.f64 3 x) x)) -6/5)
(-.f64 (+.f64 (*.f64 -2/7875 (pow.f64 x 4)) (+.f64 (*.f64 -1/175 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))) 6/5)
(+.f64 (fma.f64 -2/7875 (pow.f64 x 4) (fma.f64 -1/175 (*.f64 x x) (/.f64 3 (*.f64 x x)))) -6/5)
(+.f64 (fma.f64 -2/7875 (pow.f64 x 4) (fma.f64 -1/175 (*.f64 x x) (/.f64 (/.f64 3 x) x))) -6/5)
-1
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) 1)
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(+.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))) -1)
(+.f64 -1 (*.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (*.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) 1)
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(+.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))) -1)
(+.f64 -1 (*.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))))
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(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))))) -1)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (neg.f64 (+.f64 x (tan.f64 x))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 x (+.f64 x (tan.f64 x))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (-.f64 (tan.f64 x) (neg.f64 x)) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 x (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) (neg.f64 x))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 x)))) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (neg.f64 (+.f64 x (tan.f64 x))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 x (+.f64 x (tan.f64 x))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 x (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) x))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (neg.f64 (+.f64 x (tan.f64 x))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 x (+.f64 x (tan.f64 x))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (-.f64 (tan.f64 x) (neg.f64 x)) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 x (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) (neg.f64 x))))
(*.f64 (/.f64 (/.f64 x 1) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 x)))) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 x (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 x (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 3)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) x) -1)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 1/3)
(/.f64 x (-.f64 (tan.f64 x) x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (tan.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 x (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))
(/.f64 x (-.f64 (tan.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(exp.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 1))
(/.f64 x (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.8b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 17 to 5 computations (70.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 9/40 (*.f64 x x) -1/2)
Compiler

Compiled 13 to 7 computations (46.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@0
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@-inf
(fma.f64 9/40 (*.f64 x x) -1/2)

rewrite53.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1404×add-sqr-sqrt
1378×*-un-lft-identity
1288×add-cube-cbrt
1278×add-cbrt-cube
1264×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116115
2177715
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 9/40 (*.f64 x x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 (*.f64 9/40 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9/40 x) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))))

simplify78.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1446×distribute-lft-in
1408×distribute-rgt-in
1240×associate-*r*
924×associate-/l*
902×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063602
1150584
2710556
33330556
Stop Event
1×node limit
Counts
34 → 35
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(+.f64 -1/2 (*.f64 (*.f64 9/40 x) x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2)
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 -1/2 (*.f64 (*.f64 9/40 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))
(/.f64 (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) -1/4) (fma.f64 (*.f64 9/40 x) x 1/2))
(/.f64 (fma.f64 (*.f64 9/40 x) (*.f64 (pow.f64 x 3) 9/40) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(/.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) -1/8) (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (fma.f64 (*.f64 9/40 x) (*.f64 (pow.f64 x 3) 9/40) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))))
(/.f64 (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (-.f64 1/4 (*.f64 x (*.f64 x -9/80)))))
(/.f64 (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) -1/8) (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 x (*.f64 9/80 x))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(fma.f64 9/40 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(fma.f64 9/40 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(fma.f64 9/40 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)

eval779.0ms (5%)

Compiler

Compiled 45357 to 15193 computations (66.5% saved)

prune384.0ms (2.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New163131634
Fresh022
Picked101
Done044
Total163291641
Error
0b
Counts
1641 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.8b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓32.5b
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
▶33.5b
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
✓32.8b
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
▶30.3b
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
✓32.9b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
▶32.5b
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
33.0b
1
30.6b
-1/2
Compiler

Compiled 79 to 50 computations (36.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
1.8b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite94.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1452×associate-*r/
984×associate-*l/
916×*-commutative
552×associate-/r*
506×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
119321
2252821
Stop Event
1×node limit
Counts
1 → 138
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
Outputs
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simplify130.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
818×associate-/l*
746×distribute-lft-neg-out
544×distribute-lft-neg-in
506×distribute-rgt-neg-in
486×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04127152
112586596
258216484
Stop Event
1×node limit
Counts
150 → 223
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
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1
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(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (neg.f64 x)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (neg.f64 x)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (neg.f64 x)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) 1) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x (sin.f64 x))))) (sqrt.f64 (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x (sin.f64 x)))) (cbrt.f64 (*.f64 x (+.f64 x (sin.f64 x)))))) (cbrt.f64 (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (+.f64 x (neg.f64 (sin.f64 x))) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/120 (pow.f64 x 4)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (+.f64 x (neg.f64 x)) x))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (-.f64 x x) x))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (+.f64 x (neg.f64 x)) x))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (-.f64 x x) x))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(fma.f64 (/.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 -1 x) (+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (fma.f64 (neg.f64 x) 1 x) (/.f64 -1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (+.f64 x (neg.f64 x)) x))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (-.f64 x x) x))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (/.f64 -1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (+.f64 x (neg.f64 x)) x))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (-.f64 x x) x))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (/.f64 -1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(fma.f64 (/.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 -1 x) (+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (/.f64 x x) (/.f64 (sin.f64 x) (neg.f64 x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x x))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 1 (/.f64 x x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1) (*.f64 (/.f64 x x) 1))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)))) 1)
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 -1 (/.f64 x (-.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 -1 (/.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 -1 (/.f64 (*.f64 x (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (neg.f64 x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 -1 x) (/.f64 1 (-.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 1)
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 1 (/.f64 (neg.f64 x) (-.f64 (sin.f64 x) x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 1 (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (neg.f64 x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (sin.f64 x) x))))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (neg.f64 x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (neg.f64 x)))
(/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (neg.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (neg.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (/.f64 (neg.f64 x) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (neg.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (neg.f64 x)))
(/.f64 (+.f64 x (neg.f64 (sin.f64 x))) x)
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 (+.f64 x (sin.f64 x)) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (neg.f64 x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (neg.f64 x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (neg.f64 x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 x) (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (-.f64 (sin.f64 x) x))
(/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (sqrt.f64 (+.f64 x (neg.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (neg.f64 (sin.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) x) (sqrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) x))
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(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (neg.f64 x)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (neg.f64 x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (neg.f64 x)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (neg.f64 x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (neg.f64 x)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (neg.f64 x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) 1) (*.f64 x (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x (sin.f64 x))))) (sqrt.f64 (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x (sin.f64 x)))) (cbrt.f64 (*.f64 x (+.f64 x (sin.f64 x)))))) (cbrt.f64 (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 x (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (+.f64 x (neg.f64 (sin.f64 x))) (sqrt.f64 x)) 1) (sqrt.f64 x))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (/.f64 (+.f64 x (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 x)) (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (+.f64 x (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 1)
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))) 2)
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))) 3)
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 3) 1/3)
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) x))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2))
(fabs.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)))))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 3))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 -1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (/.f64 -1 (pow.f64 x 3))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))))
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) x))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 9/40 x) x)
✓0.1b
(*.f64 9/40 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 9/40 x)
0.0ms
x
@inf
(*.f64 9/40 x)
0.0ms
x
@0
(*.f64 9/40 x)
0.0ms
x
@inf
(*.f64 (*.f64 9/40 x) x)
0.0ms
x
@0
(*.f64 (*.f64 9/40 x) x)

rewrite69.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1108×add-sqr-sqrt
1090×*-un-lft-identity
1034×pow1
1016×add-cube-cbrt
1002×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
112120
2138320
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 9/40 x)
(*.f64 (*.f64 9/40 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/1600 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 9/40) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))

simplify63.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1414×associate-*r*
1312×associate-+l+
1270×associate-*l*
1238×associate-+r+
1114×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057508
1142442
2554376
33918376
Stop Event
1×node limit
Counts
34 → 27
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 9/40 x)) 1)
(pow.f64 (*.f64 9/40 x) 1)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(sqrt.f64 (*.f64 81/1600 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 9/40) x))
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(exp.f64 (log.f64 (*.f64 9/40 x)))
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 9/40) x) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 9/40 x)) 1)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (*.f64 9/40 x) 1)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(sqrt.f64 (*.f64 81/1600 (*.f64 x x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(log.f64 (pow.f64 (exp.f64 9/40) x))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(exp.f64 (log.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 9/40) x) 2)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(*.f64 9/40 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))
(*.f64 9/40 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(*.f64 9/40 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(*.f64 9/40 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (-.f64 (tan.f64 x) x))
✓0.1b
(/.f64 (/.f64 3 x) x)
1.8b
(-.f64 (tan.f64 x) x)
✓11.3b
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
Compiler

Compiled 35 to 14 computations (60% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
0.0ms
x
@-inf
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
0.0ms
x
@0
(/.f64 (/.f64 3 x) x)
0.0ms
x
@0
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
0.0ms
x
@inf
(/.f64 (/.f64 3 x) x)

rewrite115.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1260×associate-/r/
1122×distribute-lft-in
836×associate-/l/
280×add-sqr-sqrt
274×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01148
126248
2407348
Stop Event
1×node limit
Counts
2 → 175
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 3 x) x)
Outputs
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simplify142.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
904×associate-*r*
736×associate-*l*
682×associate-/l*
632×*-commutative
622×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053014223
1180713831
Stop Event
1×node limit
Counts
199 → 294
Calls
Call 1
Inputs
6/5
(+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5)
(+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4))))
(+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (+.f64 (*.f64 2/7875 (pow.f64 x 4)) (*.f64 37/3031875 (pow.f64 x 6)))))
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 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(+.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (*.f64 1 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1)))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))))
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(*.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) (*.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) (*.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) 1) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) 1) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 (tan.f64 x) x)) (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) (*.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x)) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))) (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (*.f64 x x) (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 (/.f64 3 x) x) 3)) (*.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 (/.f64 3 x) x) 2)) (*.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))) (*.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (-.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (*.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (*.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) 3) (pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 (/.f64 3 x) x) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (*.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) 3) (pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) 3)) (*.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 (/.f64 3 x) x) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))))))
(/.f64 (-.f64 (*.f64 3 (-.f64 (tan.f64 x) x)) (pow.f64 x 3)) (*.f64 (*.f64 x x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (*.f64 x x) 1)) (*.f64 (*.f64 x x) (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 (-.f64 (*.f64 3 (neg.f64 (-.f64 (tan.f64 x) x))) (*.f64 (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 x x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (*.f64 (/.f64 3 x) (/.f64 (-.f64 (tan.f64 x) x) x)) x) (*.f64 x (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 3 x) (neg.f64 (-.f64 (tan.f64 x) x))) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) (+.f64 x (*.f64 (/.f64 x (/.f64 3 x)) x))) (*.f64 (/.f64 x (/.f64 3 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (*.f64 (/.f64 x (/.f64 3 x)) 1)) (*.f64 (/.f64 x (/.f64 3 x)) (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 (-.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 x (/.f64 3 x)) (neg.f64 x))) (*.f64 (/.f64 x (/.f64 3 x)) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (*.f64 (/.f64 -3 x) (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 -3 x) (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 -3 x) (neg.f64 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))) (neg.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 (tan.f64 x) x))))
(pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(fma.f64 (/.f64 3 x) (/.f64 1 x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 1 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 3 x) x))) 1)
(*.f64 3 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 3 (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 3 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 3 x) x) 1)
(*.f64 1 (/.f64 (/.f64 3 x) x))
(*.f64 (sqrt.f64 (/.f64 3 x)) (*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (*.f64 (cbrt.f64 (/.f64 3 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)))
(*.f64 (/.f64 1 x) (/.f64 3 x))
(*.f64 (/.f64 -3 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 3 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 3 x) (cbrt.f64 x)))
(*.f64 (/.f64 3 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 -3 x))
(*.f64 (/.f64 (/.f64 1 x) x) 3)
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) x) (sqrt.f64 (/.f64 3 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 3 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 3 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 3 x) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 3 x)))) (sqrt.f64 (/.f64 3 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 3 x)) 2))) (cbrt.f64 (/.f64 3 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) x) (cbrt.f64 (/.f64 3 x)))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 3 x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -3)
(pow.f64 (/.f64 (/.f64 3 x) x) 1)
(pow.f64 (/.f64 (sqrt.f64 3) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 3)
(pow.f64 (/.f64 x (/.f64 3 x)) -1)
(pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) 1/3)
(neg.f64 (/.f64 3 (*.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 3 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 3 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 3 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 3 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 3 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 3 x) x)))
Outputs
6/5
(+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5)
(fma.f64 1/175 (*.f64 x x) 6/5)
(+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4))))
(+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4)))
(+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (+.f64 (*.f64 2/7875 (pow.f64 x 4)) (*.f64 37/3031875 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (*.f64 37/3031875 (pow.f64 x 6))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
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(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 2))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 1))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 3 x) (/.f64 1 x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(fma.f64 1 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 3) x) 2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (pow.f64 (/.f64 (sqrt.f64 3) x) 2) (/.f64 x (-.f64 (tan.f64 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 3 x) x))) 1)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 3 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 3 (/.f64 (/.f64 1 x) x))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 3 x) (/.f64 1 x))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 (/.f64 3 x) x) 1)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 1 (/.f64 (/.f64 3 x) x))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 3 x)) (*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 3 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))))
(*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x))
(*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x))
(*.f64 (sqrt.f64 (/.f64 3 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))))
(*.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x))
(pow.f64 (/.f64 (sqrt.f64 3) x) 2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (*.f64 (cbrt.f64 (/.f64 3 x)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 3 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 3 x))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 -3 x) (/.f64 1 (neg.f64 x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 3 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 3 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 3 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 3 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 -3 x))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) 3)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 3 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) x) (sqrt.f64 (/.f64 3 x)))
(*.f64 (sqrt.f64 (/.f64 3 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))))
(*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 3 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 3 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 3 x)) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (/.f64 3 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 3 x) x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 3 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 3 x)))) (sqrt.f64 (/.f64 3 x)))
(*.f64 (sqrt.f64 (/.f64 3 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))))
(*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 3 x)) 2))) (cbrt.f64 (/.f64 3 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 3 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) x) (cbrt.f64 (/.f64 3 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 3 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 3 x))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -3)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(pow.f64 (/.f64 (/.f64 3 x) x) 1)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 3) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 3)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(pow.f64 (/.f64 x (/.f64 3 x)) -1)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) 1/3)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(neg.f64 (/.f64 3 (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2))
(sqrt.f64 (pow.f64 (/.f64 3 (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 3 x) x))))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 3 x) x)) 1))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))

eval394.0ms (2.5%)

Compiler

Compiled 23827 to 10033 computations (57.9% saved)

prune1.2s (7.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New9422944
Fresh022
Picked011
Done156
Total94310953
Error
0b
Counts
953 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.8b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓33.5b
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
▶33.3b
(-.f64 (/.f64 (/.f64 3 x) x) -1)
✓32.8b
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
▶32.5b
(-.f64 1 (/.f64 (sin.f64 x) x))
✓30.3b
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
✓32.9b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓32.5b
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
33.0b
1
30.6b
-1/2
Compiler

Compiled 86 to 56 computations (34.9% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (sin.f64 x) x)
✓1.8b
(-.f64 1 (/.f64 (sin.f64 x) x))
Compiler

Compiled 15 to 6 computations (60% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite68.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1800×add-sqr-sqrt
1784×*-un-lft-identity
1662×add-cube-cbrt
1646×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116628
2216328
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))))

simplify55.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1012×fma-def
976×associate-/l*
828×associate-*r/
744×unswap-sqr
708×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01792104
14361854
217681656
Stop Event
1×node limit
Counts
78 → 98
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 x (*.f64 x -1/6) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (*.f64 x x) -1/6)))
(fma.f64 (pow.f64 x 4) 1/120 (fma.f64 x (*.f64 x -1/6) 1))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))))
(+.f64 (fma.f64 (*.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040)))
(+.f64 (fma.f64 x (*.f64 x -1/6) 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(-.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 3 x) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

eval39.0ms (0.2%)

Compiler

Compiled 1974 to 1234 computations (37.5% saved)

prune24.0ms (0.2%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New1571158
Fresh022
Picked011
Done077
Total15711168
Error
0b
Counts
168 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.8b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓33.5b
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
✓33.3b
(-.f64 (/.f64 (/.f64 3 x) x) -1)
✓32.8b
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
✓32.5b
(-.f64 1 (/.f64 (sin.f64 x) x))
32.5b
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
✓30.3b
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
✓32.9b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓32.5b
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
33.0b
1
30.6b
-1/2
Compiler

Compiled 97 to 65 computations (33% saved)

regimes36.0ms (0.2%)

Counts
14 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 (/.f64 (/.f64 3 x) x) -1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
Calls

2 calls:

25.0ms
x
8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.1b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 121 to 56 computations (53.7% saved)

bsearch51.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
4.353129549173184e-12
2152702.7531027244
24.0ms
-992.3853011297028
-1.5468316081994272e-6
Results
47.0ms304×body256valid
Compiler

Compiled 444 to 285 computations (35.8% saved)

regimes28.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 (/.f64 (/.f64 3 x) x) -1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) 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 (*.f64 9/40 x) x) -1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Calls

2 calls:

21.0ms
x
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.1b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 107 to 54 computations (49.5% saved)

bsearch52.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
4.353129549173184e-12
2152702.7531027244
24.0ms
-992.3853011297028
-1.5468316081994272e-6
Results
47.0ms304×body256valid
Compiler

Compiled 394 to 275 computations (30.2% saved)

regimes19.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 (/.f64 (/.f64 3 x) x) -1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
Outputs
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 68 to 41 computations (39.7% saved)

bsearch55.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
4.353129549173184e-12
2152702.7531027244
25.0ms
-992.3853011297028
-1.5468316081994272e-6
Results
49.0ms304×body256valid
Compiler

Compiled 352 to 259 computations (26.4% saved)

regimes19.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 (/.f64 (/.f64 3 x) x) -1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
Outputs
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch57.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
4.353129549173184e-12
2152702.7531027244
27.0ms
-992.3853011297028
-1.5468316081994272e-6
Results
53.0ms304×body256valid
Compiler

Compiled 332 to 269 computations (19% saved)

regimes51.0ms (0.3%)

Counts
8 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 (/.f64 (/.f64 3 x) x) -1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
Outputs
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
Calls

1 calls:

49.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 46 to 28 computations (39.1% saved)

bsearch83.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
4.353129549173184e-12
2152702.7531027244
27.0ms
-992.3853011297028
-1.5468316081994272e-6
Results
49.0ms304×body256valid
Compiler

Compiled 292 to 229 computations (21.6% saved)

regimes13.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch79.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
52.0ms
4.353129549173184e-12
2152702.7531027244
27.0ms
-992.3853011297028
-1.5468316081994272e-6
Results
75.0ms304×body256valid
Compiler

Compiled 242 to 199 computations (17.8% saved)

regimes11.0ms (0.1%)

Accuracy

Total -62.5b remaining (-11880.2%)

Threshold costs -62.5b (-11880.2%)

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

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch111.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
66.0ms
4.353129549173184e-12
2152702.7531027244
44.0ms
-992.3853011297028
-1.5468316081994272e-6
Results
86.0ms304×body256valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×+-commutative
30×sub-neg
18×*-commutative
14×neg-mul-1
14×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063434
196434
2121434
3138434
4148434
5149434
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 5764607523034235/1152921504606846976) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 2476979795053773/1125899906842624) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 2476979795053773/1125899906842624) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2
Outputs
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 5764607523034235/1152921504606846976) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -1498797955988901/288230376151711744) (not (<=.f64 x 5764607523034235/1152921504606846976))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 2476979795053773/1125899906842624) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 2476979795053773/1125899906842624) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (-.f64 1 (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 2476979795053773/1125899906842624) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 2476979795053773/1125899906842624) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -5/2) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2
Compiler

Compiled 176 to 123 computations (30.1% saved)

soundness783.0ms (5%)

Algorithm
3×egg-herbie
Rules
1332×associate-*r*
1154×associate-*l*
1056×associate-/l*
1016×fma-def
1016×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
067313291
1210613149
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
Stop Event
1×saturated
1×node limit
1×saturated
Compiler

Compiled 390 to 141 computations (63.8% saved)

end127.0ms (0.8%)

Compiler

Compiled 169 to 105 computations (37.9% saved)

Profiling

Loading profile data...