Details

Time bar (total: 13.0s)

analyze1.9s (14.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
0%100%0%13
0.1%99.9%0%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample8.5s (64.9%)

Results
5.2s2103×body2048valid
2.1s3108×body1024valid
617.0ms1502×body512valid
195.0ms751×body256valid
167.0ms95×body4096valid
129.0ms697×body128valid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess75.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
421×div-sub_binary64
332×times-frac_binary64
157×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754314
8132214
9247914
10329414
11365914
12378814
13381514
14382514
15382914
16382914
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 10 to 6 computations (40% saved)

simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
421×div-sub_binary64
332×times-frac_binary64
157×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754314
8132214
9247914
10329414
11365914
12378814
13381514
14382514
15382914
16382914
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))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
31.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶31.5b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 39 to 21 computations (46.2% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓0.9b
(-.f64 x (tan.f64 x))
✓0.9b
(-.f64 x (sin.f64 x))

series10.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
2.0ms
x
@-inf
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
2.0ms
x
@inf
(-.f64 x (tan.f64 x))
2.0ms
x
@-inf
(-.f64 x (tan.f64 x))
1.0ms
x
@0
(-.f64 x (sin.f64 x))

rewrite143.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
982×prod-diff_binary64
233×egg-rr
170×log1p-udef_binary64
95×add-sqr-sqrt_binary64
94×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
117026
2277926
Stop Event
1×node limit
Counts
3 → 336
Calls
Call 1
Inputs
(-.f64 x (sin.f64 x))
(-.f64 x (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
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(-.f64 x (tan.f64 x))) 2)) (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (pow.f64 (-.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))))

simplify34.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
542×times-frac_binary64
500×fma-def_binary64
278×associate-/l*_binary64
208×associate-/r*_binary64
176×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0104678
1306606
2982588
Stop Event
1×node limit
Counts
372 → 373
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 -1/362880 (pow.f64 x 9)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (+.f64 (*.f64 -62/2835 (pow.f64 x 9)) (*.f64 -1/3 (pow.f64 x 3)))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.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 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (*.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) (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 2)))))))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 -1/362880 (pow.f64 x 9)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 -1/362880 (pow.f64 x 9)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/362880 (pow.f64 x 9)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 (*.f64 -2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -2/15 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 (*.f64 (pow.f64 x 5) -2/15))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -2/15 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/3)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 (pow.f64 x 5) -2/15)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) -2/15 (*.f64 (pow.f64 x 7) -17/315)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (+.f64 (*.f64 -62/2835 (pow.f64 x 9)) (*.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -2/15 (pow.f64 x 5) (fma.f64 -62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 3) -1/3))))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 5) -2/15 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 (pow.f64 x 9) -62/2835))))
(fma.f64 (pow.f64 x 5) -2/15 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 (pow.f64 x 9) -62/2835))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 x (*.f64 x 9/40) (fma.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 1 (-.f64 (/.f64 (neg.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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.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 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x (*.f64 x (cos.f64 x)))) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 (fma.f64 -1 (fma.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x (*.f64 x (cos.f64 x)))) (sin.f64 x))) 1) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) 1))
1
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 1 (-.f64 (/.f64 (neg.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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 (*.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) (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 2))))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x (*.f64 x (cos.f64 x)))) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 2)))))))
(+.f64 1 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 (fma.f64 -1 (fma.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x (*.f64 x (cos.f64 x)))) (sin.f64 x))) 1) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) 1))

prune241.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3685373
Fresh000
Picked101
Done000
Total3695374
Error
0b
Counts
374 → 5
Alt Table
StatusErrorProgram
48.5b
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x)))
▶31.4b
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
31.5b
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x))))) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)))))
32.1b
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
31.5b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
Compiler

Compiled 16988 to 4311 computations (74.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (-.f64 x (tan.f64 x)))
✓0.1b
(/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))
✓0.9b
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
0.9b
(-.f64 x (tan.f64 x))

series16.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
3.0ms
x
@0
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
3.0ms
x
@inf
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
2.0ms
x
@-inf
(/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))
2.0ms
x
@inf
(/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))

rewrite80.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
564×fma-def_binary64
288×fma-neg_binary64
196×expm1-udef_binary64
196×log1p-udef_binary64
159×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
119834
2343034
Stop Event
1×node limit
Counts
3 → 227
Calls
Call 1
Inputs
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
(/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))
(/.f64 x (-.f64 x (tan.f64 x)))
Outputs
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simplify40.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
776×times-frac_binary64
453×fma-def_binary64
342×associate-/l*_binary64
261×associate-/r*_binary64
214×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01161080
13341048
21094997
Stop Event
1×node limit
Counts
263 → 274
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (sin.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 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) x))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
1
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.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 3))))))))
(/.f64 -3 (pow.f64 x 2))
(-.f64 17/10 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 17/10 (*.f64 -307/1400 (pow.f64 x 2))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 17/10 (+.f64 (*.f64 1247/126000 (pow.f64 x 4)) (*.f64 -307/1400 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(/.f64 (sin.f64 x) x)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4))))))
(/.f64 (sin.f64 x) x)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 x) x) (/.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 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6/5 (*.f64 1/175 (pow.f64 x 2))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6/5 (+.f64 (*.f64 2/7875 (pow.f64 x 4)) (*.f64 1/175 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.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 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.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 (cos.f64 x) x)) 1)
(+.f64 (/.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 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 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 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) x)))
(+.f64 1 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 x x)) (/.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))))
(+.f64 (-.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))))
(fma.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x))) 1)
(-.f64 (+.f64 1 (+.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 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) x))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (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 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 x x)) (/.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))) (*.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3)))))))
(-.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (fma.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))
(+.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))
1
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 x x)) (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (-.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x))) (/.f64 (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.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 3))))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 x x)) (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (-.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))))
(+.f64 (-.f64 (+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x))) (/.f64 (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 17/10 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 17/10 (/.f64 3 (*.f64 x x)))
(+.f64 17/10 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 17/10 (*.f64 -307/1400 (pow.f64 x 2))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 17/10 (*.f64 (*.f64 x x) -307/1400)) (/.f64 3 (*.f64 x x)))
(+.f64 17/10 (fma.f64 (*.f64 x x) -307/1400 (/.f64 -3 (*.f64 x x))))
(+.f64 17/10 (fma.f64 x (*.f64 x -307/1400) (/.f64 -3 (*.f64 x x))))
(-.f64 (+.f64 17/10 (+.f64 (*.f64 1247/126000 (pow.f64 x 4)) (*.f64 -307/1400 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 17/10 (-.f64 (fma.f64 1247/126000 (pow.f64 x 4) (*.f64 (*.f64 x x) -307/1400)) (/.f64 3 (*.f64 x x))))
(+.f64 17/10 (+.f64 (*.f64 (pow.f64 x 4) 1247/126000) (fma.f64 (*.f64 x x) -307/1400 (/.f64 -3 (*.f64 x x)))))
(+.f64 17/10 (fma.f64 (pow.f64 x 4) 1247/126000 (fma.f64 x (*.f64 x -307/1400) (/.f64 -3 (*.f64 x x)))))
(/.f64 (sin.f64 x) x)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x)))
(+.f64 (/.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) (cos.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (+.f64 (+.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 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(/.f64 (sin.f64 x) x)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x)))
(+.f64 (/.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) (cos.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (+.f64 (+.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 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 6/5 (*.f64 1/175 (pow.f64 x 2))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 6/5 (-.f64 (*.f64 (*.f64 x x) 1/175) (/.f64 3 (*.f64 x x))))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x))))
(-.f64 (+.f64 6/5 (+.f64 (*.f64 2/7875 (pow.f64 x 4)) (*.f64 1/175 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 6/5 (-.f64 (fma.f64 2/7875 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/175)) (/.f64 3 (*.f64 x x))))
(+.f64 6/5 (+.f64 (fma.f64 (*.f64 x x) 1/175 (*.f64 (pow.f64 x 4) 2/7875)) (/.f64 -3 (*.f64 x x))))
(+.f64 6/5 (fma.f64 (pow.f64 x 4) 2/7875 (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x)))))
1
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.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 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))
1
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.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 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))

prune252.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4011402
Fresh134
Picked011
Done000
Total4025407
Error
0b
Counts
407 → 5
Alt Table
StatusErrorProgram
31.5b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
▶31.5b
(fma.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))
48.5b
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓31.4b
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
32.1b
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
Compiler

Compiled 10505 to 2838 computations (73% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)
✓0.9b
(-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3))
0.9b
(-.f64 x (tan.f64 x))
✓30.6b
(fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))

series84.0ms (0.6%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
52.0ms
x
@inf
(fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
8.0ms
x
@inf
(pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)
6.0ms
x
@-inf
(pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)
5.0ms
x
@inf
(-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3))
5.0ms
x
@-inf
(-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3))

rewrite41.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
174×add-sqr-sqrt_binary64
170×pow1_binary64
168×*-un-lft-identity_binary64
163×add-cbrt-cube_binary64
163×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01567
135461
Stop Event
1×node limit
Counts
3 → 109
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
(-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3))
(pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)
Outputs
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simplify42.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
896×associate-/r*_binary64
221×cancel-sign-sub-inv_binary64
202×associate-+r+_binary64
164×fma-def_binary64
154×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01911435
16291328
225461218
Stop Event
1×node limit
Counts
145 → 153
Calls
Call 1
Inputs
0
0
0
0
(/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)
(/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)
(/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)
(/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.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 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.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 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)))))))
(/.f64 -27/2 (pow.f64 x 4))
(-.f64 (*.f64 153/8 (/.f64 1 (pow.f64 x 2))) (*.f64 27/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (*.f64 153/8 (/.f64 1 (pow.f64 x 2))) (+.f64 28781/2800 (*.f64 27/2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 153/8 (/.f64 1 (pow.f64 x 2))) (*.f64 298171/112000 (pow.f64 x 2))) (+.f64 28781/2800 (*.f64 27/2 (/.f64 1 (pow.f64 x 4)))))
1
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (*.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 3))))))))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))
(+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))) (*.f64 -1 (pow.f64 (sin.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) x))))))
(/.f64 -27 (pow.f64 x 6))
(-.f64 (*.f64 459/10 (/.f64 1 (pow.f64 x 4))) (*.f64 27 (/.f64 1 (pow.f64 x 6))))
(-.f64 (*.f64 459/10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 44703/1400 (/.f64 1 (pow.f64 x 2))) (*.f64 27 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 33293/2800 (*.f64 459/10 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 44703/1400 (/.f64 1 (pow.f64 x 2))) (*.f64 27 (/.f64 1 (pow.f64 x 6)))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 5)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (pow.f64 x 5)) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 5)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 6))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 6)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 5))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 x) (pow.f64 x 6))) (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 6)))))))))))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x 5))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 6))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 6)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 x) (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 6)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x 5))))))))))
Outputs
0
0
0
0
(/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)
0
(/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)
0
(/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)
0
(/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)
0
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x))
0
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x))))
0
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.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 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)))))
0
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.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 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (sin.f64 x)) x)))))))
0
(/.f64 -27/2 (pow.f64 x 4))
(-.f64 (*.f64 153/8 (/.f64 1 (pow.f64 x 2))) (*.f64 27/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 153/8 (*.f64 x x)) (/.f64 27/2 (pow.f64 x 4)))
(+.f64 (/.f64 153/8 (*.f64 x x)) (/.f64 -27/2 (pow.f64 x 4)))
(-.f64 (*.f64 153/8 (/.f64 1 (pow.f64 x 2))) (+.f64 28781/2800 (*.f64 27/2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 153/8 (*.f64 x x)) 28781/2800) (/.f64 27/2 (pow.f64 x 4)))
(+.f64 (/.f64 153/8 (*.f64 x x)) (+.f64 (/.f64 -27/2 (pow.f64 x 4)) -28781/2800))
(-.f64 (+.f64 (*.f64 153/8 (/.f64 1 (pow.f64 x 2))) (*.f64 298171/112000 (pow.f64 x 2))) (+.f64 28781/2800 (*.f64 27/2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 153/8 (*.f64 x x)) (*.f64 (*.f64 x x) 298171/112000)) (+.f64 (/.f64 27/2 (pow.f64 x 4)) 28781/2800))
(+.f64 (fma.f64 (*.f64 x x) 298171/112000 (/.f64 153/8 (*.f64 x x))) (+.f64 (/.f64 -27/2 (pow.f64 x 4)) -28781/2800))
(+.f64 (+.f64 (/.f64 153/8 (*.f64 x x)) (fma.f64 x (*.f64 x 298171/112000) -28781/2800)) (/.f64 -27/2 (pow.f64 x 4)))
1
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (*.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (*.f64 2 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 2 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 1))
(+.f64 1 (*.f64 3 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 2 (+.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))))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (fma.f64 2 (+.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 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 2 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) 6)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (*.f64 (cos.f64 x) (pow.f64 x 3))))))))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (fma.f64 2 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))) (fma.f64 4 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (sin.f64 x) (pow.f64 x 3)))))))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (fma.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (fma.f64 2 (+.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)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))) 6))))) (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (-.f64 (fma.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (fma.f64 2 (+.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)))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) 7) (/.f64 3 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))
(+.f64 1 (neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -3) x)))
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 x -3)))
(+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))))
(fma.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -3) x)))))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) -3) x)) (fma.f64 4 (/.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 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (+.f64 (fma.f64 2 (/.f64 (pow.f64 (sin.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 6))) (*.f64 (/.f64 (*.f64 3 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 2)) -3 (*.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 2)) -3))) (pow.f64 x 5)))) (*.f64 5 (/.f64 (pow.f64 (sin.f64 x) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 6)))))))

prune632.0ms (4.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6010601
Fresh033
Picked011
Done011
Total6015606
Error
0b
Counts
606 → 5
Alt Table
StatusErrorProgram
▶31.5b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
✓31.5b
(fma.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))
48.5b
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓31.4b
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
32.1b
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
Compiler

Compiled 46065 to 15159 computations (67.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
✓0.0b
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
0.9b
(-.f64 x (tan.f64 x))
0.9b
(-.f64 x (sin.f64 x))

series12.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
3.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
2.0ms
x
@inf
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
1.0ms
x
@-inf
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
1.0ms
x
@0
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)

rewrite136.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
982×prod-diff_binary64
233×egg-rr
114×add-sqr-sqrt_binary64
111×pow1_binary64
110×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
121228
2323528
Stop Event
1×node limit
Counts
2 → 281
Calls
Call 1
Inputs
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
Outputs
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simplify37.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
745×fma-def_binary64
651×times-frac_binary64
391×associate-/l*_binary64
170×cancel-sign-sub-inv_binary64
166×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231113
1389881
21536788
Stop Event
1×node limit
Counts
305 → 316
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) 1)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (pow.f64 x 2))))))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.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 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 -1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 -1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 -1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (pow.f64 x 2))))))))
Outputs
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -9/10 (*.f64 x x) (fma.f64 -513/1400 (pow.f64 x 4) -2))
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -297/2000 (pow.f64 x 6) (*.f64 -9/10 (*.f64 x x)))) -2)
(+.f64 (fma.f64 -513/1400 (pow.f64 x 4) (*.f64 -297/2000 (pow.f64 x 6))) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -9/10 (*.f64 x x) (fma.f64 -297/2000 (pow.f64 x 6) -2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (+.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (+.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
1
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) 1)
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (+.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (fma.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (sin.f64 x))))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x)))))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 9/40 -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
(+.f64 (*.f64 (pow.f64 x 4) -27/2800) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 (*.f64 x x) 9/40 -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 (pow.f64 x 4) -27/2800 -1/2))
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 6) 27/112000))) -1/2)
(fma.f64 (pow.f64 x 4) -27/2800 (+.f64 (*.f64 (pow.f64 x 6) 27/112000) (fma.f64 (*.f64 x x) 9/40 -1/2)))
(fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 x (*.f64 x 9/40) (fma.f64 (pow.f64 x 6) 27/112000 -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 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (fma.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 1 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.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) (fma.f64 -1 (/.f64 (fma.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (fma.f64 -1 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (fma.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 3)) (neg.f64 (/.f64 (fma.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))))) (pow.f64 x 3))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))) (pow.f64 x 3))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
1
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 -1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (fma.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 1 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 -1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 -1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (pow.f64 x 2))))))))
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) 1) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (/.f64 (pow.f64 x 3) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (fma.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (fma.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (*.f64 x x)))))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (pow.f64 x 3))) (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 2)) (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (*.f64 x x)))))
(+.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (fma.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (sin.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x))))

prune277.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4381439
Fresh112
Picked101
Done022
Total4404444
Error
0b
Counts
444 → 4
Alt Table
StatusErrorProgram
✓31.4b
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
31.5b
(pow.f64 (-.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) -1)
32.1b
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2)
✓31.5b
(fma.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))
Compiler

Compiled 19135 to 5429 computations (71.6% saved)

regimes280.0ms (2.1%)

Accuracy

Total 0.0b remaining (35.4%)

Threshold costs 0.0b (35.4%)

Counts
138 → 3
Compiler

Compiled 1887 to 648 computations (65.7% saved)

bsearch49.0ms (0.4%)

Algorithm
2×binary-search
Calls

2 calls:

25.0ms
x
23.0ms
x
Steps
ItersPointRange
0.0305
∈ [
0.0015896923451217265
, 
7.389250444547434
]
-0.035
∈ [
-0.775847214432618
, 
-6.2438883527199235e-6
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Rules
11×+-commutative_binary64
8×sub-neg_binary64
7×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046155
167155
279155
386155
489155
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1261007895663739/36028797018963968) (fma.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))) (if (<=.f64 x 1098878309078401/36028797018963968) (-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2) (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))) -1)))
Outputs
(if (<=.f64 x -1261007895663739/36028797018963968) (fma.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))) (if (<=.f64 x 1098878309078401/36028797018963968) (-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) 1/2) (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))) -1)))
(if (<=.f64 x -1261007895663739/36028797018963968) (fma.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (fma.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))) (if (<=.f64 x 1098878309078401/36028797018963968) (+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) -1/2) (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))) -1)))

end105.0ms (0.8%)

Stop Event
1×fuel
Compiler

Compiled 314 to 151 computations (51.9% saved)

Profiling

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