0.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.385 * * * [progress]: [2/2] Setting up program. 0.388 * [progress]: [Phase 2 of 3] Improving. 0.388 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.389 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.390 * * [simplify]: iteration done : 8 enodes (cost 10 ) 0.390 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.390 * * [progress]: iteration 1 / 4 0.390 * * * [progress]: picking best candidate 0.393 * * * * [pick]: Picked # 0.393 * * * [progress]: localizing error 0.410 * * * [progress]: generating rewritten candidates 0.410 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.411 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.412 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.413 * * * [progress]: generating series expansions 0.413 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.413 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.413 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.413 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.414 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.414 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.414 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.414 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.414 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.414 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.415 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.415 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.415 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.415 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.415 * [taylor]: Rewrote expression to (- (exp a) 1) 0.415 * [taylor]: Taking taylor expansion of (exp a) in a 0.415 * [taylor]: Taking taylor expansion of a in a 0.415 * [taylor]: Taking taylor expansion of 1 in a 0.417 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.417 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.417 * [taylor]: Rewrote expression to (- (exp a) 1) 0.417 * [taylor]: Taking taylor expansion of (exp a) in a 0.417 * [taylor]: Taking taylor expansion of a in a 0.417 * [taylor]: Taking taylor expansion of 1 in a 0.428 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.428 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.428 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.428 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.428 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.428 * [taylor]: Taking taylor expansion of a in a 0.428 * [taylor]: Taking taylor expansion of 1 in a 0.428 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.428 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.429 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.429 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.429 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.429 * [taylor]: Taking taylor expansion of a in a 0.429 * [taylor]: Taking taylor expansion of 1 in a 0.451 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.451 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.451 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.451 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.451 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.451 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.451 * [taylor]: Taking taylor expansion of -1 in a 0.451 * [taylor]: Taking taylor expansion of a in a 0.451 * [taylor]: Taking taylor expansion of 1 in a 0.452 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.452 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.452 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.452 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.452 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.452 * [taylor]: Taking taylor expansion of -1 in a 0.452 * [taylor]: Taking taylor expansion of a in a 0.452 * [taylor]: Taking taylor expansion of 1 in a 0.474 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.474 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.474 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.474 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.474 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.474 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.474 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.474 * [taylor]: Rewrote expression to (- (exp a) 1) 0.474 * [taylor]: Taking taylor expansion of (exp a) in a 0.474 * [taylor]: Taking taylor expansion of a in a 0.474 * [taylor]: Taking taylor expansion of 1 in a 0.476 * [taylor]: Taking taylor expansion of 1 in a 0.476 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.476 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.476 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.476 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.476 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.476 * [taylor]: Rewrote expression to (- (exp a) 1) 0.476 * [taylor]: Taking taylor expansion of (exp a) in a 0.476 * [taylor]: Taking taylor expansion of a in a 0.476 * [taylor]: Taking taylor expansion of 1 in a 0.478 * [taylor]: Taking taylor expansion of 1 in a 0.491 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.491 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.491 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.491 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.491 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.491 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.491 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.491 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.491 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.491 * [taylor]: Taking taylor expansion of a in a 0.492 * [taylor]: Taking taylor expansion of 1 in a 0.492 * [taylor]: Taking taylor expansion of 1 in a 0.492 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.492 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.492 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.492 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.492 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.492 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.492 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.492 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.492 * [taylor]: Taking taylor expansion of a in a 0.493 * [taylor]: Taking taylor expansion of 1 in a 0.493 * [taylor]: Taking taylor expansion of 1 in a 0.525 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.525 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.525 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.525 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.525 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.525 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.525 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.525 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.525 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.525 * [taylor]: Taking taylor expansion of -1 in a 0.525 * [taylor]: Taking taylor expansion of a in a 0.526 * [taylor]: Taking taylor expansion of 1 in a 0.526 * [taylor]: Taking taylor expansion of 1 in a 0.526 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.526 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.526 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.526 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.526 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.526 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.526 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.526 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.526 * [taylor]: Taking taylor expansion of -1 in a 0.526 * [taylor]: Taking taylor expansion of a in a 0.527 * [taylor]: Taking taylor expansion of 1 in a 0.527 * [taylor]: Taking taylor expansion of 1 in a 0.559 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.560 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.560 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.561 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.561 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.561 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.561 * * * [progress]: simplifying candidates 0.562 * [simplify]: Simplifying using # : (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (* (sin (expm1 a)) (sin (expm1 a))) (sin (expm1 a))) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (exp (sin (expm1 a))) (expm1 (expm1 (sin (expm1 a)))) (log1p (expm1 (sin (expm1 a)))) (log (expm1 (sin (expm1 a)))) (exp (expm1 (sin (expm1 a)))) (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a)))) (* (* (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a)))) (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (expm1 (atan2 (expm1 (sin (expm1 a))) (atan a))) (log1p (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) (+ (* 2/3 (pow a 3)) (+ (pow a 2) a)) (- (exp (sin (- (exp a) 1))) 1) (- (exp (sin (- (exp a) 1))) 1) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 0.564 * * [simplify]: iteration 0 : 70 enodes (cost 438 ) 0.708 * * [simplify]: iteration 1 : 110 enodes (cost 422 ) 0.725 * * [simplify]: iteration 2 : 214 enodes (cost 375 ) 0.773 * * [simplify]: iteration 3 : 501 enodes (cost 374 ) 1.151 * * [simplify]: iteration 4 : 1614 enodes (cost 374 ) 2.525 * * [simplify]: iteration 5 : 4842 enodes (cost 374 ) 3.605 * * [simplify]: iteration done : 5000 enodes (cost 374 ) 3.606 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (pow (sin (expm1 a)) 3) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (exp (sin (expm1 a))) (expm1 (expm1 (sin (expm1 a)))) (sin (expm1 a)) (log (expm1 (sin (expm1 a)))) (exp (expm1 (sin (expm1 a)))) (* (cbrt (expm1 (sin (expm1 a)))) (cbrt (expm1 (sin (expm1 a))))) (cbrt (expm1 (sin (expm1 a)))) (pow (expm1 (sin (expm1 a))) 3) (sqrt (expm1 (sin (expm1 a)))) (sqrt (expm1 (sin (expm1 a)))) (expm1 (atan2 (expm1 (sin (expm1 a))) (atan a))) (log1p (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fma (pow a 4) -5/24 (fma 1/2 (pow a 2) a)) (sin (expm1 a)) (sin (expm1 a)) (fma 2/3 (pow a 3) (fma a a a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 3.606 * * * [progress]: adding candidates to table 3.768 * * [progress]: iteration 2 / 4 3.768 * * * [progress]: picking best candidate 3.818 * * * * [pick]: Picked # 3.818 * * * [progress]: localizing error 3.833 * * * [progress]: generating rewritten candidates 3.833 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.834 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.835 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.837 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 3.839 * * * [progress]: generating series expansions 3.839 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.839 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 3.839 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.839 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 3.840 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 3.840 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.840 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 3.841 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 3.841 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.841 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 3.841 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.841 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 3.841 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 3.841 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 3.842 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 3.842 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 3.852 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 3.852 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 3.852 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 3.852 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 3.852 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 3.863 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 3.863 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 3.864 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 3.864 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 3.864 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 3.874 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.875 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 3.875 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 3.875 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 3.875 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 3.875 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 3.875 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 3.876 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 3.876 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 3.876 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 3.876 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 3.876 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 3.877 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 3.877 * [taylor]: Taking taylor expansion of (expm1 a) in a 3.877 * [taylor]: Rewrote expression to (- (exp a) 1) 3.877 * [taylor]: Taking taylor expansion of (exp a) in a 3.877 * [taylor]: Taking taylor expansion of a in a 3.877 * [taylor]: Taking taylor expansion of 1 in a 3.878 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 3.878 * [taylor]: Taking taylor expansion of (expm1 a) in a 3.878 * [taylor]: Rewrote expression to (- (exp a) 1) 3.878 * [taylor]: Taking taylor expansion of (exp a) in a 3.878 * [taylor]: Taking taylor expansion of a in a 3.878 * [taylor]: Taking taylor expansion of 1 in a 3.889 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 3.889 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 3.889 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 3.889 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 3.889 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 3.889 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.889 * [taylor]: Taking taylor expansion of a in a 3.889 * [taylor]: Taking taylor expansion of 1 in a 3.890 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 3.890 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 3.890 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 3.890 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 3.890 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.890 * [taylor]: Taking taylor expansion of a in a 3.890 * [taylor]: Taking taylor expansion of 1 in a 3.915 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 3.915 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 3.915 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 3.915 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 3.915 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 3.915 * [taylor]: Taking taylor expansion of (/ -1 a) in a 3.915 * [taylor]: Taking taylor expansion of -1 in a 3.915 * [taylor]: Taking taylor expansion of a in a 3.915 * [taylor]: Taking taylor expansion of 1 in a 3.916 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 3.916 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 3.916 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 3.916 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 3.916 * [taylor]: Taking taylor expansion of (/ -1 a) in a 3.916 * [taylor]: Taking taylor expansion of -1 in a 3.916 * [taylor]: Taking taylor expansion of a in a 3.916 * [taylor]: Taking taylor expansion of 1 in a 3.937 * * * [progress]: simplifying candidates 3.939 * [simplify]: Simplifying using # : (expm1 (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (log (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (* (log (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (* 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 1) (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (* (* (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2)) (expm1 (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log1p (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (exp (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt 1) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (/ 3 2))) (* (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (* (* (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (* (sin (expm1 a)) (sin (expm1 a))) (sin (expm1 a))) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) 3.942 * * [simplify]: iteration 0 : 92 enodes (cost 1068 ) 3.961 * * [simplify]: iteration 1 : 156 enodes (cost 876 ) 3.995 * * [simplify]: iteration 2 : 378 enodes (cost 778 ) 4.219 * * [simplify]: iteration 3 : 1921 enodes (cost 777 ) 5.492 * * [simplify]: iteration done : 5001 enodes (cost 777 ) 5.492 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) 3 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (expm1 (atan2 (expm1 (sin (expm1 a))) (atan a))) (log1p (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (expm1 (sin (expm1 a))) (log1p (sin (expm1 a))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (log (sin (expm1 a))) (exp (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (pow (sin (expm1 a)) 3) (sqrt (sin (expm1 a))) (sqrt (sin (expm1 a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (fma -5/24 (pow a 4) (fma 1/2 (pow a 2) a)) (sin (expm1 a)) (sin (expm1 a)) 5.493 * * * [progress]: adding candidates to table 5.690 * * [progress]: iteration 3 / 4 5.690 * * * [progress]: picking best candidate 5.754 * * * * [pick]: Picked # 5.754 * * * [progress]: localizing error 5.777 * * * [progress]: generating rewritten candidates 5.777 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.778 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 5.779 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 5.786 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.790 * * * [progress]: generating series expansions 5.790 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.790 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 5.790 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 5.791 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 5.791 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 5.791 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 5.791 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 5.792 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 5.792 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 5.792 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 5.793 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 5.793 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 5.793 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 5.793 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 5.793 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 5.793 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 5.804 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 5.804 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 5.804 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 5.804 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 5.804 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 5.815 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 5.815 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 5.815 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 5.815 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 5.815 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 5.826 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1 1) 5.827 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in (a) around 0 5.827 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 5.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 5.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 5.827 * [taylor]: Taking taylor expansion of 1/3 in a 5.827 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 5.827 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 5.827 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 5.827 * [taylor]: Taking taylor expansion of (expm1 a) in a 5.827 * [taylor]: Rewrote expression to (- (exp a) 1) 5.827 * [taylor]: Taking taylor expansion of (exp a) in a 5.827 * [taylor]: Taking taylor expansion of a in a 5.827 * [taylor]: Taking taylor expansion of 1 in a 5.830 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 5.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 5.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 5.830 * [taylor]: Taking taylor expansion of 1/3 in a 5.830 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 5.830 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 5.830 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 5.830 * [taylor]: Taking taylor expansion of (expm1 a) in a 5.830 * [taylor]: Rewrote expression to (- (exp a) 1) 5.830 * [taylor]: Taking taylor expansion of (exp a) in a 5.830 * [taylor]: Taking taylor expansion of a in a 5.830 * [taylor]: Taking taylor expansion of 1 in a 5.844 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in (a) around 0 5.844 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 5.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 5.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 5.844 * [taylor]: Taking taylor expansion of 1/3 in a 5.844 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 5.844 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 5.844 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 5.844 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 5.844 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 5.844 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 5.844 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.844 * [taylor]: Taking taylor expansion of a in a 5.845 * [taylor]: Taking taylor expansion of 1 in a 5.846 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 5.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 5.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 5.846 * [taylor]: Taking taylor expansion of 1/3 in a 5.846 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 5.846 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 5.846 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 5.846 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 5.846 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 5.846 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 5.846 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.846 * [taylor]: Taking taylor expansion of a in a 5.846 * [taylor]: Taking taylor expansion of 1 in a 5.912 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in (a) around 0 5.912 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 5.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 5.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 5.912 * [taylor]: Taking taylor expansion of 1/3 in a 5.912 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 5.912 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 5.912 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 5.912 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 5.912 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 5.912 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 5.912 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.912 * [taylor]: Taking taylor expansion of -1 in a 5.912 * [taylor]: Taking taylor expansion of a in a 5.913 * [taylor]: Taking taylor expansion of 1 in a 5.914 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 5.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 5.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 5.914 * [taylor]: Taking taylor expansion of 1/3 in a 5.914 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 5.914 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 5.914 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 5.914 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 5.914 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 5.914 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 5.914 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.914 * [taylor]: Taking taylor expansion of -1 in a 5.914 * [taylor]: Taking taylor expansion of a in a 5.914 * [taylor]: Taking taylor expansion of 1 in a 5.979 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.979 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 5.979 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 5.979 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 5.980 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 5.980 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 5.980 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 5.981 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 5.981 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 5.981 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 5.981 * * * [progress]: simplifying candidates 5.983 * [simplify]: Simplifying using # : (expm1 (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (log (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (* (log (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (* 1 3) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (sqrt 3)) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 1) (pow (* (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3) (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (log (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (exp (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (* (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (* (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3) (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2)) (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2)) (expm1 (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (log1p (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (+ 1/3 1/3) (+ 1 1) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (+ 1 1) (+ (log (cbrt (sin (expm1 a)))) (log (cbrt (sin (expm1 a))))) (log (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (exp (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 1 1) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 2 1/3) (* 2 1) (* (cbrt (sin (expm1 a))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt 1)) (* (cbrt (sin (expm1 a))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) 1) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (expm1 (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (log1p (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (log (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (exp (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (sqrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt 1) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2))) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2))) (* (cbrt (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (* (* (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (- (+ (pow a 2/3) (* 1/3 (pow (pow a 5) 1/3))) (* 1/36 (pow (pow a 8) 1/3))) (pow (pow (sin (- (exp a) 1)) 2) 1/3) (pow (pow (sin (- (exp a) 1)) 2) 1/3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 5.989 * * [simplify]: iteration 0 : 128 enodes (cost 2472 ) 6.018 * * [simplify]: iteration 1 : 234 enodes (cost 2174 ) 6.074 * * [simplify]: iteration 2 : 567 enodes (cost 1349 ) 6.402 * * [simplify]: iteration 3 : 2380 enodes (cost 1095 ) 7.750 * * [simplify]: iteration done : 5000 enodes (cost 1095 ) 7.751 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (log (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (exp (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) (expm1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) 3 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt 3)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (log (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (exp (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (atan2 (expm1 (sin (expm1 a))) (atan a)) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 3) 1 (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2) (fabs (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2)) (fabs (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2)) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (expm1 (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (log1p (pow (sqrt (cbrt (sin (expm1 a)))) 4)) 2/3 2 (pow (sin (expm1 a)) 2) (pow (sqrt (cbrt (sin (expm1 a)))) 4) 2 (* 2 (log (cbrt (sin (expm1 a))))) (* 2 (log (cbrt (sin (expm1 a))))) (exp (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (pow (sin (expm1 a)) 2) (* (cbrt (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (cbrt (pow (sqrt (cbrt (sin (expm1 a)))) 4))) (cbrt (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (pow (sin (expm1 a)) 2) (fabs (cbrt (sin (expm1 a)))) (fabs (cbrt (sin (expm1 a)))) (* (cbrt (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (cbrt (pow (sqrt (cbrt (sin (expm1 a)))) 4))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) 1 (pow (sqrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))) 1 (pow (sqrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))) 2/3 2 (* (cbrt (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))) (* (cbrt (cbrt (sin (expm1 a)))) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (cbrt (sin (expm1 a))) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (pow (sqrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (pow (sqrt (cbrt (sin (expm1 a)))) 4) (expm1 (atan2 (expm1 (sin (expm1 a))) (atan a))) (log1p (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (fabs (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2))) (cbrt (fabs (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2)) (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 2)) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (fma (cbrt (pow a 8)) -1/36 (fma (cbrt (pow a 5)) 1/3 (pow a 2/3))) (cbrt (pow (sin (expm1 a)) 2)) (cbrt (pow (sin (expm1 a)) 2)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) 7.752 * * * [progress]: adding candidates to table 8.049 * * [progress]: iteration 4 / 4 8.049 * * * [progress]: picking best candidate 8.156 * * * * [pick]: Picked # 8.156 * * * [progress]: localizing error 8.185 * * * [progress]: generating rewritten candidates 8.185 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 8.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.188 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1 1) 8.193 * * * [progress]: generating series expansions 8.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.193 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 8.193 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.193 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 8.194 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 8.194 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.194 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 8.196 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 8.196 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.196 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 8.196 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 8.197 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 8.197 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 8.197 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 8.197 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 8.197 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 8.207 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 8.207 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 8.207 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 8.207 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 8.207 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 8.219 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 8.219 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 8.219 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 8.219 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 8.219 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 8.230 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.230 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 8.231 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 8.231 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 8.231 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 8.231 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 8.232 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 8.232 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 8.232 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 8.233 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 8.233 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1 1) 8.233 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 1/9) 4) in (a) around 0 8.233 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 1/9) 4) in a 8.233 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 1/9) in a 8.233 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 a))))) in a 8.233 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 a)))) in a 8.233 * [taylor]: Taking taylor expansion of 1/9 in a 8.233 * [taylor]: Taking taylor expansion of (log (sin (expm1 a))) in a 8.233 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 8.233 * [taylor]: Taking taylor expansion of (expm1 a) in a 8.233 * [taylor]: Rewrote expression to (- (exp a) 1) 8.233 * [taylor]: Taking taylor expansion of (exp a) in a 8.233 * [taylor]: Taking taylor expansion of a in a 8.233 * [taylor]: Taking taylor expansion of 1 in a 8.236 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 1/9) 4) in a 8.236 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 1/9) in a 8.236 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 a))))) in a 8.236 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 a)))) in a 8.236 * [taylor]: Taking taylor expansion of 1/9 in a 8.236 * [taylor]: Taking taylor expansion of (log (sin (expm1 a))) in a 8.236 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 8.236 * [taylor]: Taking taylor expansion of (expm1 a) in a 8.236 * [taylor]: Rewrote expression to (- (exp a) 1) 8.236 * [taylor]: Taking taylor expansion of (exp a) in a 8.236 * [taylor]: Taking taylor expansion of a in a 8.236 * [taylor]: Taking taylor expansion of 1 in a 8.254 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 1/9) 4) in (a) around 0 8.254 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 1/9) 4) in a 8.254 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/9) in a 8.254 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 (/ 1 a)))))) in a 8.254 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 (/ 1 a))))) in a 8.254 * [taylor]: Taking taylor expansion of 1/9 in a 8.254 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ 1 a)))) in a 8.254 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 8.254 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 8.254 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 8.254 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 8.254 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.254 * [taylor]: Taking taylor expansion of a in a 8.255 * [taylor]: Taking taylor expansion of 1 in a 8.256 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 1/9) 4) in a 8.256 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 1/9) in a 8.256 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 (/ 1 a)))))) in a 8.256 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 (/ 1 a))))) in a 8.256 * [taylor]: Taking taylor expansion of 1/9 in a 8.256 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ 1 a)))) in a 8.256 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 8.256 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 8.256 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 8.256 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 8.256 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.256 * [taylor]: Taking taylor expansion of a in a 8.256 * [taylor]: Taking taylor expansion of 1 in a 8.322 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 1/9) 4) in (a) around 0 8.322 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 1/9) 4) in a 8.322 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/9) in a 8.322 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 (/ -1 a)))))) in a 8.322 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 (/ -1 a))))) in a 8.322 * [taylor]: Taking taylor expansion of 1/9 in a 8.322 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ -1 a)))) in a 8.322 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 8.322 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 8.322 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 8.322 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 8.322 * [taylor]: Taking taylor expansion of (/ -1 a) in a 8.322 * [taylor]: Taking taylor expansion of -1 in a 8.322 * [taylor]: Taking taylor expansion of a in a 8.323 * [taylor]: Taking taylor expansion of 1 in a 8.323 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 1/9) 4) in a 8.323 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 1/9) in a 8.323 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (sin (expm1 (/ -1 a)))))) in a 8.323 * [taylor]: Taking taylor expansion of (* 1/9 (log (sin (expm1 (/ -1 a))))) in a 8.323 * [taylor]: Taking taylor expansion of 1/9 in a 8.323 * [taylor]: Taking taylor expansion of (log (sin (expm1 (/ -1 a)))) in a 8.323 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 8.323 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 8.324 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 8.324 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 8.324 * [taylor]: Taking taylor expansion of (/ -1 a) in a 8.324 * [taylor]: Taking taylor expansion of -1 in a 8.324 * [taylor]: Taking taylor expansion of a in a 8.324 * [taylor]: Taking taylor expansion of 1 in a 8.392 * * * [progress]: simplifying candidates 8.394 * [simplify]: Simplifying using # : (expm1 (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (log (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (* (log (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (* 1 3) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (sqrt 3)) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 1) (pow (* (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) (* (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (log (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (exp (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (* (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (* (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)))) 3) (pow (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow 1 3) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3) (* (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2)) (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2)) (expm1 (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (log1p (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (log (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (exp (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (* (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (* (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)))) 3)) (cbrt (pow (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow (sqrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (* (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)))) (cbrt (sqrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt 1) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2))) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) (/ 3 2))) (* (cbrt (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)))) (cbrt (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (* (* (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3)) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (sqrt (cbrt (pow (atan2 (expm1 (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (cbrt (sin (expm1 a))))) (atan a)) 3))) (expm1 (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (log1p (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (* (log (cbrt (cbrt (sin (expm1 a))))) 4) (* (log (cbrt (cbrt (sin (expm1 a))))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (cbrt (sin (expm1 a)))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (cbrt (sin (expm1 a)))) (sqrt 4)) (pow (cbrt (cbrt (sin (expm1 a)))) 1) (pow (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sqrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sqrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt 1)) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (sqrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (sqrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt 1) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (* (cbrt (cbrt (cbrt (sin (expm1 a))))) (cbrt (cbrt (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (sqrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (sqrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow 1 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (log (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (exp (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (* (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4))) (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (* (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (sqrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (sqrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (cbrt (cbrt (sin (expm1 a)))) (/ 4 2)) (pow (cbrt (cbrt (sin (expm1 a)))) (/ 4 2)) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (- (+ (pow (pow a 4) 1/9) (* 2/9 (pow (pow a 13) 1/9))) (* 5/162 (pow (pow a 22) 1/9))) (pow (pow (sin (- (exp a) 1)) 4) 1/9) (pow (pow (sin (- (exp a) 1)) 4) 1/9) 8.400 * * [simplify]: iteration 0 : 141 enodes (cost 3118 ) 8.434 * * [simplify]: iteration 1 : 269 enodes (cost 2836 ) 8.500 * * [simplify]: iteration 2 : 620 enodes (cost 2024 ) 8.792 * * [simplify]: iteration 3 : 2614 enodes (cost 1613 ) 9.851 * * [simplify]: iteration done : 5001 enodes (cost 1613 ) 9.852 * [simplify]: Simplified to: (expm1 (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a)) (pow (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a) 3) (sqrt (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) a)) (expm1 (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3)) (* (log (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 3) (* (log (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 3) 3 (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (sqrt 3)) (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2) (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (pow (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 3) 1 (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2) (* (log (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 3) (exp (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2) (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (pow (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3) 3) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2) (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (pow (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 3) (pow (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 3) 1 (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2) (sqrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3)) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3/2) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3/2) (expm1 (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (log1p (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (log (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (exp (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2)) (cbrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 1 (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (cbrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2)) (cbrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2)) (cbrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2)) (cbrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) 1 (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (cbrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (cbrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2)) (cbrt (sqrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3))) (cbrt (sqrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3))) 1 (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) (cbrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3/2)) (cbrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3/2)) (cbrt (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 2)) (cbrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (pow (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a)) 3) (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (atan2 (expm1 (* (pow (cbrt (cbrt (sin (expm1 a)))) 6) (cbrt (sin (expm1 a))))) (atan a))) (expm1 (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (log1p (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (log (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (log (pow (cbrt (cbrt (sin (expm1 a)))) 4)) 4/3 4 (pow (cbrt (cbrt (sin (expm1 a)))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (cbrt (sin (expm1 a)))) 2) (cbrt (cbrt (sin (expm1 a)))) (pow (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sqrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sqrt (sin (expm1 a))))) 4) 1 (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 2)) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (sqrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (sqrt (cbrt (sin (expm1 a))))) 4) 1 (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 8) (pow (cbrt (cbrt (cbrt (sin (expm1 a))))) 4) (pow (cbrt (cbrt (sin (expm1 a)))) 2) (pow (cbrt (cbrt (sin (expm1 a)))) 2) 1 (pow (cbrt (cbrt (sin (expm1 a)))) 4) (log (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (exp (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (* (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4))) (cbrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (pow (cbrt (cbrt (sin (expm1 a)))) 4) 3) (sqrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (sqrt (pow (cbrt (cbrt (sin (expm1 a)))) 4)) (pow (cbrt (cbrt (sin (expm1 a)))) 2) (pow (cbrt (cbrt (sin (expm1 a)))) 2) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)) (fma -5/162 (pow (pow a 22) 1/9) (fma (pow (pow a 13) 1/9) 2/9 (pow (pow a 4) 1/9))) (pow (pow (sin (expm1 a)) 4) 1/9) (pow (pow (sin (expm1 a)) 4) 1/9) 9.853 * * * [progress]: adding candidates to table 10.218 * [progress]: [Phase 3 of 3] Extracting. 10.218 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 10.246 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 10.246 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 10.444 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # #) 10.488 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 10.669 * * * [regime]: Found split indices: #