0.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.418 * * * [progress]: [2/2] Setting up program. 0.422 * [progress]: [Phase 2 of 3] Improving. 0.422 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.425 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.425 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.425 * * [progress]: iteration 1 / 4 0.425 * * * [progress]: picking best candidate 0.428 * * * * [pick]: Picked # 0.428 * * * [progress]: localizing error 0.441 * * * [progress]: generating rewritten candidates 0.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.442 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.446 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.448 * * * [progress]: generating series expansions 0.448 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.451 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.452 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.453 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.455 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.455 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.455 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.456 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.456 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.457 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.457 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.457 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.457 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.457 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.457 * [taylor]: Rewrote expression to (- (exp a) 1) 0.457 * [taylor]: Taking taylor expansion of (exp a) in a 0.457 * [taylor]: Taking taylor expansion of a in a 0.458 * [taylor]: Taking taylor expansion of 1 in a 0.460 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.460 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.460 * [taylor]: Rewrote expression to (- (exp a) 1) 0.460 * [taylor]: Taking taylor expansion of (exp a) in a 0.460 * [taylor]: Taking taylor expansion of a in a 0.460 * [taylor]: Taking taylor expansion of 1 in a 0.472 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.472 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.473 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.473 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.473 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.473 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.473 * [taylor]: Taking taylor expansion of a in a 0.473 * [taylor]: Taking taylor expansion of 1 in a 0.474 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.474 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.474 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.474 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.474 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.474 * [taylor]: Taking taylor expansion of a in a 0.474 * [taylor]: Taking taylor expansion of 1 in a 0.496 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.496 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.496 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.496 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.497 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.497 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.497 * [taylor]: Taking taylor expansion of -1 in a 0.497 * [taylor]: Taking taylor expansion of a in a 0.497 * [taylor]: Taking taylor expansion of 1 in a 0.497 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.497 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.498 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.498 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.498 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.498 * [taylor]: Taking taylor expansion of -1 in a 0.498 * [taylor]: Taking taylor expansion of a in a 0.498 * [taylor]: Taking taylor expansion of 1 in a 0.526 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.526 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.526 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.526 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.526 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.526 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.526 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.526 * [taylor]: Rewrote expression to (- (exp a) 1) 0.526 * [taylor]: Taking taylor expansion of (exp a) in a 0.526 * [taylor]: Taking taylor expansion of a in a 0.526 * [taylor]: Taking taylor expansion of 1 in a 0.528 * [taylor]: Taking taylor expansion of 1 in a 0.528 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.528 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.528 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.528 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.528 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.528 * [taylor]: Rewrote expression to (- (exp a) 1) 0.528 * [taylor]: Taking taylor expansion of (exp a) in a 0.528 * [taylor]: Taking taylor expansion of a in a 0.528 * [taylor]: Taking taylor expansion of 1 in a 0.530 * [taylor]: Taking taylor expansion of 1 in a 0.540 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.540 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.540 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.540 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.540 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.540 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.540 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.540 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.540 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.540 * [taylor]: Taking taylor expansion of a in a 0.541 * [taylor]: Taking taylor expansion of 1 in a 0.541 * [taylor]: Taking taylor expansion of 1 in a 0.541 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.542 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.542 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.542 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.542 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.542 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.542 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.542 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.542 * [taylor]: Taking taylor expansion of a in a 0.542 * [taylor]: Taking taylor expansion of 1 in a 0.543 * [taylor]: Taking taylor expansion of 1 in a 0.575 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.575 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.575 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.575 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.575 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.575 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.575 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.575 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.575 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.575 * [taylor]: Taking taylor expansion of -1 in a 0.575 * [taylor]: Taking taylor expansion of a in a 0.575 * [taylor]: Taking taylor expansion of 1 in a 0.576 * [taylor]: Taking taylor expansion of 1 in a 0.576 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.576 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.576 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.576 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.576 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.576 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.576 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.576 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.576 * [taylor]: Taking taylor expansion of -1 in a 0.576 * [taylor]: Taking taylor expansion of a in a 0.577 * [taylor]: Taking taylor expansion of 1 in a 0.577 * [taylor]: Taking taylor expansion of 1 in a 0.612 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.612 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.612 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.612 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.613 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.613 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.613 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.613 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.613 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.614 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.614 * * * [progress]: simplifying candidates 0.615 * [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)) 0.618 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.621 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.625 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.641 * * [simplify]: iteration 3 : 2933 enodes (cost 264 ) 0.736 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.738 * [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 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) (fma (pow a 3) 2/3 (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)) 0.738 * * * [progress]: adding candidates to table 0.896 * * [progress]: iteration 2 / 4 0.896 * * * [progress]: picking best candidate 0.943 * * * * [pick]: Picked # 0.943 * * * [progress]: localizing error 0.958 * * * [progress]: generating rewritten candidates 0.958 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.959 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.962 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.964 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 0.967 * * * [progress]: generating series expansions 0.967 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.967 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.967 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.967 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.968 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.968 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.968 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.969 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.969 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.969 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.969 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.969 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 0.969 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 0.969 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.970 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 0.970 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.981 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 0.981 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 0.981 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.981 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 0.981 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.992 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 0.992 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 0.992 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.992 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 0.992 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.003 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.003 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 1.003 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.003 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.004 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 1.004 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.004 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.004 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 1.004 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.004 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.005 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 1.005 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.005 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.005 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.005 * [taylor]: Rewrote expression to (- (exp a) 1) 1.005 * [taylor]: Taking taylor expansion of (exp a) in a 1.005 * [taylor]: Taking taylor expansion of a in a 1.005 * [taylor]: Taking taylor expansion of 1 in a 1.007 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.007 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.007 * [taylor]: Rewrote expression to (- (exp a) 1) 1.007 * [taylor]: Taking taylor expansion of (exp a) in a 1.007 * [taylor]: Taking taylor expansion of a in a 1.007 * [taylor]: Taking taylor expansion of 1 in a 1.017 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.017 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.017 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.017 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.017 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.017 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.017 * [taylor]: Taking taylor expansion of a in a 1.017 * [taylor]: Taking taylor expansion of 1 in a 1.018 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.018 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.018 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.018 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.018 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.018 * [taylor]: Taking taylor expansion of a in a 1.018 * [taylor]: Taking taylor expansion of 1 in a 1.042 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.042 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.042 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.042 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.042 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.042 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.042 * [taylor]: Taking taylor expansion of -1 in a 1.042 * [taylor]: Taking taylor expansion of a in a 1.043 * [taylor]: Taking taylor expansion of 1 in a 1.043 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.043 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.043 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.043 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.043 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.043 * [taylor]: Taking taylor expansion of -1 in a 1.043 * [taylor]: Taking taylor expansion of a in a 1.044 * [taylor]: Taking taylor expansion of 1 in a 1.065 * * * [progress]: simplifying candidates 1.066 * [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)) 1.070 * * [simplify]: iteration 0 : 156 enodes (cost 650 ) 1.074 * * [simplify]: iteration 1 : 538 enodes (cost 592 ) 1.088 * * [simplify]: iteration 2 : 3301 enodes (cost 586 ) 1.206 * * [simplify]: iteration 3 : 5002 enodes (cost 586 ) 1.209 * [simplify]: Simplified to: (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)) (pow (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) 3) (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 (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 (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 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 (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3/2) 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 (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log1p (cbrt (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3))) (log (atan2 (expm1 (sin (expm1 a))) (atan a))) (exp (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (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)) (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)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (atan2 (expm1 (sin (expm1 a))) (atan a)))) (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 (* (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))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (sqrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (* (atan2 (expm1 (sin (expm1 a))) (atan a)) (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))) (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 (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) 1.210 * * * [progress]: adding candidates to table 1.411 * * [progress]: iteration 3 / 4 1.411 * * * [progress]: picking best candidate 1.487 * * * * [pick]: Picked # 1.487 * * * [progress]: localizing error 1.508 * * * [progress]: generating rewritten candidates 1.508 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.509 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.512 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.514 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 1.523 * * * [progress]: generating series expansions 1.523 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.523 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.523 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.523 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.524 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.524 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.524 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.525 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.525 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.525 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.526 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.526 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 1.526 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 1.526 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.526 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 1.526 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.536 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 1.536 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 1.536 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.537 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 1.537 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.548 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 1.548 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 1.548 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.548 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 1.548 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.559 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.560 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 1.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.560 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 1.563 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 1.563 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.563 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 1.564 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 1.564 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.564 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 1.564 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1) 1.564 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in (a) around 0 1.564 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.564 * [taylor]: Taking taylor expansion of 1/3 in a 1.564 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.565 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.565 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.565 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.565 * [taylor]: Rewrote expression to (- (exp a) 1) 1.565 * [taylor]: Taking taylor expansion of (exp a) in a 1.565 * [taylor]: Taking taylor expansion of a in a 1.565 * [taylor]: Taking taylor expansion of 1 in a 1.568 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.568 * [taylor]: Taking taylor expansion of 1/3 in a 1.568 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.568 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.568 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.568 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.568 * [taylor]: Rewrote expression to (- (exp a) 1) 1.568 * [taylor]: Taking taylor expansion of (exp a) in a 1.568 * [taylor]: Taking taylor expansion of a in a 1.568 * [taylor]: Taking taylor expansion of 1 in a 1.582 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in (a) around 0 1.582 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.582 * [taylor]: Taking taylor expansion of 1/3 in a 1.582 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.582 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.583 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.583 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.583 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.583 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.583 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.583 * [taylor]: Taking taylor expansion of a in a 1.583 * [taylor]: Taking taylor expansion of 1 in a 1.584 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.584 * [taylor]: Taking taylor expansion of 1/3 in a 1.584 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.584 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.584 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.584 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.584 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.584 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.584 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.584 * [taylor]: Taking taylor expansion of a in a 1.584 * [taylor]: Taking taylor expansion of 1 in a 1.649 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in (a) around 0 1.649 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.649 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.649 * [taylor]: Taking taylor expansion of 1/3 in a 1.649 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.649 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.649 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.649 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.649 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.649 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.649 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.649 * [taylor]: Taking taylor expansion of -1 in a 1.649 * [taylor]: Taking taylor expansion of a in a 1.650 * [taylor]: Taking taylor expansion of 1 in a 1.651 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.651 * [taylor]: Taking taylor expansion of 1/3 in a 1.651 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.651 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.651 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.651 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.651 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.651 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.651 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.651 * [taylor]: Taking taylor expansion of -1 in a 1.651 * [taylor]: Taking taylor expansion of a in a 1.652 * [taylor]: Taking taylor expansion of 1 in a 1.712 * * * [progress]: simplifying candidates 1.714 * [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 (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 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(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)))) (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 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) 1.721 * * [simplify]: iteration 0 : 235 enodes (cost 1703 ) 1.726 * * [simplify]: iteration 1 : 842 enodes (cost 1547 ) 1.750 * * [simplify]: iteration 2 : 5001 enodes (cost 1346 ) 1.756 * [simplify]: Simplified to: (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 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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))) 1 (atan2 (expm1 (sin (expm1 a))) (atan a)) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (sqrt (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 (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a))) (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) (sqrt (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) 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(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 (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))) (* (pow (cbrt (cbrt (sin (expm1 a)))) 4) (cbrt (cbrt (sin (expm1 a))))) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (cbrt (sin (expm1 a))) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (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) (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 (pow (pow a 5) 1/3) 1/3 (- (pow a 2/3) (* 1/36 (pow (pow a 8) 1/3)))) (pow (pow (sin (expm1 a)) 2) 1/3) (pow (pow (sin (expm1 a)) 2) 1/3) 1.756 * * * [progress]: adding candidates to table 2.088 * * [progress]: iteration 4 / 4 2.088 * * * [progress]: picking best candidate 2.205 * * * * [pick]: Picked # 2.205 * * * [progress]: localizing error 2.231 * * * [progress]: generating rewritten candidates 2.232 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1 1 2) 2.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1 1 2) 2.245 * * * [progress]: generating series expansions 2.245 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.246 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.246 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.246 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.247 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.247 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.247 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.249 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.249 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.249 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.249 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.250 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in (a) around 0 2.250 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 2.250 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 2.250 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 a))) (atan a)) 3) in a 2.250 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 2.261 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in (a) around 0 2.261 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 2.261 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.261 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) 3) in a 2.261 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 2.273 * [approximate]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in (a) around 0 2.273 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 2.273 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.273 * [taylor]: Taking taylor expansion of (pow (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) 3) in a 2.273 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 2.284 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1 1 2) 2.284 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 2.284 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.284 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.284 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.284 * [taylor]: Taking taylor expansion of 1/9 in a 2.284 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.284 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.284 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.284 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.285 * [taylor]: Rewrote expression to (- (exp a) 1) 2.285 * [taylor]: Taking taylor expansion of (exp a) in a 2.285 * [taylor]: Taking taylor expansion of a in a 2.285 * [taylor]: Taking taylor expansion of 1 in a 2.290 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.290 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.290 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.290 * [taylor]: Taking taylor expansion of 1/9 in a 2.290 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.290 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.290 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.290 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.290 * [taylor]: Rewrote expression to (- (exp a) 1) 2.290 * [taylor]: Taking taylor expansion of (exp a) in a 2.290 * [taylor]: Taking taylor expansion of a in a 2.290 * [taylor]: Taking taylor expansion of 1 in a 2.304 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.304 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.304 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.304 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.304 * [taylor]: Taking taylor expansion of 1/9 in a 2.304 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.304 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.304 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.304 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.304 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.305 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.305 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.305 * [taylor]: Taking taylor expansion of a in a 2.305 * [taylor]: Taking taylor expansion of 1 in a 2.306 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.306 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.306 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.306 * [taylor]: Taking taylor expansion of 1/9 in a 2.306 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.306 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.306 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.306 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.306 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.306 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.306 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.306 * [taylor]: Taking taylor expansion of a in a 2.306 * [taylor]: Taking taylor expansion of 1 in a 2.368 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 2.368 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.368 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.368 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.368 * [taylor]: Taking taylor expansion of 1/9 in a 2.368 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.368 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.368 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.368 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.368 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.368 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.368 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.368 * [taylor]: Taking taylor expansion of -1 in a 2.368 * [taylor]: Taking taylor expansion of a in a 2.369 * [taylor]: Taking taylor expansion of 1 in a 2.370 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.370 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.370 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.370 * [taylor]: Taking taylor expansion of 1/9 in a 2.370 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.370 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.370 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.370 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.370 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.370 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.370 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.370 * [taylor]: Taking taylor expansion of -1 in a 2.370 * [taylor]: Taking taylor expansion of a in a 2.370 * [taylor]: Taking taylor expansion of 1 in a 2.433 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1 1 2) 2.434 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in (a) around 0 2.434 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.434 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.434 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.434 * [taylor]: Taking taylor expansion of 1/9 in a 2.434 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.434 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.434 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.434 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.434 * [taylor]: Rewrote expression to (- (exp a) 1) 2.434 * [taylor]: Taking taylor expansion of (exp a) in a 2.434 * [taylor]: Taking taylor expansion of a in a 2.434 * [taylor]: Taking taylor expansion of 1 in a 2.437 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/9) in a 2.437 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 a)) 2)))) in a 2.437 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 a)) 2))) in a 2.437 * [taylor]: Taking taylor expansion of 1/9 in a 2.437 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 2.437 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 2.437 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 2.437 * [taylor]: Taking taylor expansion of (expm1 a) in a 2.437 * [taylor]: Rewrote expression to (- (exp a) 1) 2.438 * [taylor]: Taking taylor expansion of (exp a) in a 2.438 * [taylor]: Taking taylor expansion of a in a 2.438 * [taylor]: Taking taylor expansion of 1 in a 2.451 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in (a) around 0 2.451 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.451 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.451 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.451 * [taylor]: Taking taylor expansion of 1/9 in a 2.451 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.451 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.451 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.451 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.451 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.451 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.451 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.451 * [taylor]: Taking taylor expansion of a in a 2.452 * [taylor]: Taking taylor expansion of 1 in a 2.453 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/9) in a 2.453 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 2.453 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 2.453 * [taylor]: Taking taylor expansion of 1/9 in a 2.453 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 2.453 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 2.453 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 2.453 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 2.453 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 2.453 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 2.453 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.453 * [taylor]: Taking taylor expansion of a in a 2.453 * [taylor]: Taking taylor expansion of 1 in a 2.517 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in (a) around 0 2.518 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.518 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.518 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.518 * [taylor]: Taking taylor expansion of 1/9 in a 2.518 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.518 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.518 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.518 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.518 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.518 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.518 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.518 * [taylor]: Taking taylor expansion of -1 in a 2.518 * [taylor]: Taking taylor expansion of a in a 2.518 * [taylor]: Taking taylor expansion of 1 in a 2.519 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/9) in a 2.519 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 2.519 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 2.519 * [taylor]: Taking taylor expansion of 1/9 in a 2.519 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 2.519 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 2.519 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 2.520 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 2.520 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 2.520 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 2.520 * [taylor]: Taking taylor expansion of (/ -1 a) in a 2.520 * [taylor]: Taking taylor expansion of -1 in a 2.520 * [taylor]: Taking taylor expansion of a in a 2.520 * [taylor]: Taking taylor expansion of 1 in a 2.584 * * * [progress]: simplifying candidates 2.585 * [simplify]: Simplifying using # : (expm1 (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (* (* (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a) (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (* (log (atan2 (expm1 (* (* (* (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))))) (atan a))) 3) (* (log (atan2 (expm1 (* (* (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) 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(* (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))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) (/ 3 2)) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) (/ 3 2)) (expm1 (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log1p (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt 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(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 (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (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) (- (+ (* 1/9 (pow (pow a 11) 1/9)) (pow a 2/9)) (* 7/324 (pow (pow a 20) 1/9))) (pow (pow (sin (- (exp a) 1)) 2) 1/9) (pow (pow (sin (- (exp a) 1)) 2) 1/9) (- (+ (* 1/9 (pow (pow a 11) 1/9)) (pow a 2/9)) (* 7/324 (pow (pow a 20) 1/9))) (pow (pow (sin (- (exp a) 1)) 2) 1/9) (pow (pow (sin (- (exp a) 1)) 2) 1/9) 2.592 * * [simplify]: iteration 0 : 167 enodes (cost 1914 ) 2.596 * * [simplify]: iteration 1 : 519 enodes (cost 1602 ) 2.612 * * [simplify]: iteration 2 : 3301 enodes (cost 1594 ) 2.725 * * [simplify]: iteration 3 : 5001 enodes (cost 1594 ) 2.730 * [simplify]: Simplified to: (expm1 (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (log1p (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (log (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (exp (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (* (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a))) (cbrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (pow (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a) 3) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (sqrt (fmod (cbrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) a)) (expm1 (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (log1p (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (log (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (log (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) 3 (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) (* (cbrt 3) (cbrt 3))) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) (sqrt 3)) (atan2 (expm1 (* (* (* (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))))) (atan a)) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 2) (atan2 (expm1 (* (* (* (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))))) (atan a)) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3/2) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 2) (log (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (exp (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 2) (atan2 (expm1 (* (* (* (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))))) (atan a)) (pow (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3) 3) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 2) (atan2 (expm1 (* (* (* (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))))) (atan a)) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3/2) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3/2) 1 (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 2) (sqrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (sqrt (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3)) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3/2) (pow (atan2 (expm1 (* (* (* (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))))) (atan a)) 3/2) (expm1 (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log1p (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (expm1 (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log1p (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (log (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (exp (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))))) (cbrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (sqrt (cbrt (* (cbrt (sin (expm1 a))) (cbrt (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) (fma (pow (pow a 11) 1/9) 1/9 (- (pow a 2/9) (* 7/324 (pow (pow a 20) 1/9)))) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) (fma (pow (pow a 11) 1/9) 1/9 (- (pow a 2/9) (* 7/324 (pow (pow a 20) 1/9)))) (pow (pow (sin (expm1 a)) 2) 1/9) (pow (pow (sin (expm1 a)) 2) 1/9) 2.731 * * * [progress]: adding candidates to table 3.004 * [progress]: [Phase 3 of 3] Extracting. 3.004 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.018 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 3.018 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.207 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # #) 3.250 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) 3.420 * * * [regime]: Found split indices: #