0.014 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.391 * * * [progress]: [2/2] Setting up program. 0.394 * [progress]: [Phase 2 of 3] Improving. 0.395 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.396 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.396 * * [simplify]: iteration done : 8 enodes (cost 10 ) 0.397 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.398 * * [progress]: iteration 1 / 4 0.398 * * * [progress]: picking best candidate 0.401 * * * * [pick]: Picked # 0.401 * * * [progress]: localizing error 0.416 * * * [progress]: generating rewritten candidates 0.416 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.417 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.420 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.422 * * * [progress]: generating series expansions 0.422 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.424 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.425 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.426 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.429 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.429 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.429 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.430 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.430 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.430 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.431 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.431 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.431 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.431 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.431 * [taylor]: Rewrote expression to (- (exp a) 1) 0.431 * [taylor]: Taking taylor expansion of (exp a) in a 0.431 * [taylor]: Taking taylor expansion of a in a 0.431 * [taylor]: Taking taylor expansion of 1 in a 0.434 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.434 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.434 * [taylor]: Rewrote expression to (- (exp a) 1) 0.434 * [taylor]: Taking taylor expansion of (exp a) in a 0.434 * [taylor]: Taking taylor expansion of a in a 0.434 * [taylor]: Taking taylor expansion of 1 in a 0.446 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.446 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.446 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.447 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.447 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.447 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.447 * [taylor]: Taking taylor expansion of a in a 0.447 * [taylor]: Taking taylor expansion of 1 in a 0.448 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.448 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.448 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.448 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.448 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.448 * [taylor]: Taking taylor expansion of a in a 0.448 * [taylor]: Taking taylor expansion of 1 in a 0.476 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.476 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.476 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.476 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.476 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.476 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.476 * [taylor]: Taking taylor expansion of -1 in a 0.476 * [taylor]: Taking taylor expansion of a in a 0.477 * [taylor]: Taking taylor expansion of 1 in a 0.477 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.477 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.477 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.477 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.477 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.478 * [taylor]: Taking taylor expansion of -1 in a 0.478 * [taylor]: Taking taylor expansion of a in a 0.478 * [taylor]: Taking taylor expansion of 1 in a 0.500 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.500 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.500 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.500 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.500 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.500 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.500 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.500 * [taylor]: Rewrote expression to (- (exp a) 1) 0.500 * [taylor]: Taking taylor expansion of (exp a) in a 0.500 * [taylor]: Taking taylor expansion of a in a 0.500 * [taylor]: Taking taylor expansion of 1 in a 0.502 * [taylor]: Taking taylor expansion of 1 in a 0.502 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.502 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.502 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.502 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.502 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.502 * [taylor]: Rewrote expression to (- (exp a) 1) 0.502 * [taylor]: Taking taylor expansion of (exp a) in a 0.502 * [taylor]: Taking taylor expansion of a in a 0.502 * [taylor]: Taking taylor expansion of 1 in a 0.504 * [taylor]: Taking taylor expansion of 1 in a 0.513 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.514 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.514 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.514 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.514 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.514 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.514 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.514 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.514 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.514 * [taylor]: Taking taylor expansion of a in a 0.514 * [taylor]: Taking taylor expansion of 1 in a 0.515 * [taylor]: Taking taylor expansion of 1 in a 0.515 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.515 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.515 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.515 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.515 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.515 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.515 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.515 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.515 * [taylor]: Taking taylor expansion of a in a 0.515 * [taylor]: Taking taylor expansion of 1 in a 0.516 * [taylor]: Taking taylor expansion of 1 in a 0.548 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.548 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.548 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.548 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.548 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.548 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.549 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.549 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.549 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.549 * [taylor]: Taking taylor expansion of -1 in a 0.549 * [taylor]: Taking taylor expansion of a in a 0.549 * [taylor]: Taking taylor expansion of 1 in a 0.550 * [taylor]: Taking taylor expansion of 1 in a 0.550 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.550 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.550 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.550 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.550 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.550 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.550 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.550 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.550 * [taylor]: Taking taylor expansion of -1 in a 0.550 * [taylor]: Taking taylor expansion of a in a 0.550 * [taylor]: Taking taylor expansion of 1 in a 0.551 * [taylor]: Taking taylor expansion of 1 in a 0.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.587 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.587 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.587 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.587 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.587 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.587 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.588 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.588 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.588 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.588 * * * [progress]: simplifying candidates 0.589 * [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)) 0.592 * * [simplify]: iteration 0 : 70 enodes (cost 438 ) 0.602 * * [simplify]: iteration 1 : 110 enodes (cost 422 ) 0.618 * * [simplify]: iteration 2 : 218 enodes (cost 375 )