0.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.360 * * * [progress]: [2/2] Setting up program. 0.363 * [progress]: [Phase 2 of 3] Improving. 0.363 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.365 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.365 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.366 * * [progress]: iteration 1 / 4 0.366 * * * [progress]: picking best candidate 0.368 * * * * [pick]: Picked # 0.369 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.382 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.385 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.387 * * * [progress]: generating series expansions 0.387 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.389 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.390 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.391 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.394 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.394 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.394 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.395 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.395 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.395 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.396 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.396 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.396 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.396 * [taylor]: Rewrote expression to (- (exp a) 1) 0.396 * [taylor]: Taking taylor expansion of (exp a) in a 0.396 * [taylor]: Taking taylor expansion of a in a 0.396 * [taylor]: Taking taylor expansion of 1 in a 0.399 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.399 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.399 * [taylor]: Rewrote expression to (- (exp a) 1) 0.399 * [taylor]: Taking taylor expansion of (exp a) in a 0.399 * [taylor]: Taking taylor expansion of a in a 0.399 * [taylor]: Taking taylor expansion of 1 in a 0.410 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.410 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.410 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.411 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.411 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.411 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.411 * [taylor]: Taking taylor expansion of a in a 0.411 * [taylor]: Taking taylor expansion of 1 in a 0.411 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.412 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.412 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.412 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.412 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.412 * [taylor]: Taking taylor expansion of a in a 0.412 * [taylor]: Taking taylor expansion of 1 in a 0.433 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.433 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.433 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.433 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.433 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.433 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.433 * [taylor]: Taking taylor expansion of -1 in a 0.433 * [taylor]: Taking taylor expansion of a in a 0.434 * [taylor]: Taking taylor expansion of 1 in a 0.434 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.434 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.434 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.434 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.434 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.434 * [taylor]: Taking taylor expansion of -1 in a 0.434 * [taylor]: Taking taylor expansion of a in a 0.435 * [taylor]: Taking taylor expansion of 1 in a 0.461 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.461 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.461 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.461 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.461 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.461 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.461 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.461 * [taylor]: Rewrote expression to (- (exp a) 1) 0.461 * [taylor]: Taking taylor expansion of (exp a) in a 0.461 * [taylor]: Taking taylor expansion of a in a 0.461 * [taylor]: Taking taylor expansion of 1 in a 0.463 * [taylor]: Taking taylor expansion of 1 in a 0.463 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.463 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.463 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.463 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.463 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.463 * [taylor]: Rewrote expression to (- (exp a) 1) 0.463 * [taylor]: Taking taylor expansion of (exp a) in a 0.463 * [taylor]: Taking taylor expansion of a in a 0.463 * [taylor]: Taking taylor expansion of 1 in a 0.465 * [taylor]: Taking taylor expansion of 1 in a 0.475 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in (a) around 0 0.475 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.475 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.475 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.475 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.475 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.475 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.475 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.475 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.475 * [taylor]: Taking taylor expansion of a in a 0.475 * [taylor]: Taking taylor expansion of 1 in a 0.476 * [taylor]: Taking taylor expansion of 1 in a 0.476 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ 1 a)))) in a 0.476 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ 1 a)))) 1) 0.476 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 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 a in a 0.476 * [taylor]: Taking taylor expansion of 1 in a 0.477 * [taylor]: Taking taylor expansion of 1 in a 0.508 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in (a) around 0 0.508 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.508 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.508 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.508 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.508 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.508 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.508 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.508 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.508 * [taylor]: Taking taylor expansion of -1 in a 0.508 * [taylor]: Taking taylor expansion of a in a 0.509 * [taylor]: Taking taylor expansion of 1 in a 0.509 * [taylor]: Taking taylor expansion of 1 in a 0.509 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.509 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.509 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.509 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.509 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.509 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.510 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.510 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.510 * [taylor]: Taking taylor expansion of -1 in a 0.510 * [taylor]: Taking taylor expansion of a in a 0.510 * [taylor]: Taking taylor expansion of 1 in a 0.510 * [taylor]: Taking taylor expansion of 1 in a 0.545 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.545 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.545 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.546 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in a 0.546 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in (a) around 0 0.546 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.546 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) in a 0.547 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in (a) around 0 0.547 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.547 * [taylor]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) in a 0.547 * * * [progress]: simplifying candidates 0.548 * [simplify]: Simplifying using # : (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (exp (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) (- (+ (* 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)) 0.550 * * [simplify]: iteration 0 : 69 enodes (cost 64 ) 0.552 * * [simplify]: iteration 1 : 167 enodes (cost 62 ) 0.556 * * [simplify]: iteration 2 : 528 enodes (cost 62 ) 0.568 * * [simplify]: iteration 3 : 2130 enodes (cost 62 ) 0.640 * * [simplify]: iteration 4 : 5001 enodes (cost 62 ) 0.641 * [simplify]: Simplified to: (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (exp (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) (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)) 0.641 * * * [progress]: adding candidates to table 0.657 * * [progress]: iteration 2 / 4 0.658 * * * [progress]: picking best candidate 0.667 * * * * [pick]: Picked # 0.667 * * * [progress]: localizing error 0.679 * * * [progress]: generating rewritten candidates 0.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.680 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.684 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 0.685 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.687 * * * [progress]: generating series expansions 0.687 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.687 * [approximate]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) in (a) around 0 0.687 * [taylor]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) in a 0.687 * [taylor]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) in a 0.687 * [approximate]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 (/ 1 a)))) 1) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.687 * [taylor]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 (/ 1 a)))) 1) (atan (/ 1 a))) (/ 1 a)) in a 0.688 * [taylor]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 (/ 1 a)))) 1) (atan (/ 1 a))) (/ 1 a)) in a 0.688 * [approximate]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 (/ -1 a)))) 1) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.688 * [taylor]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 (/ -1 a)))) 1) (atan (/ -1 a))) (/ -1 a)) in a 0.688 * [taylor]: Taking taylor expansion of (fmod (atan2 (- (exp (sin (expm1 (/ -1 a)))) 1) (atan (/ -1 a))) (/ -1 a)) in a 0.689 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.689 * [approximate]: Taking taylor expansion of (- (exp (sin (expm1 a))) 1) in (a) around 0 0.689 * [taylor]: Taking taylor expansion of (- (exp (sin (expm1 a))) 1) in a 0.689 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.689 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.689 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.689 * [taylor]: Rewrote expression to (- (exp a) 1) 0.689 * [taylor]: Taking taylor expansion of (exp a) in a 0.689 * [taylor]: Taking taylor expansion of a in a 0.689 * [taylor]: Taking taylor expansion of 1 in a 0.691 * [taylor]: Taking taylor expansion of 1 in a 0.692 * [taylor]: Taking taylor expansion of (- (exp (sin (expm1 a))) 1) in a 0.692 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.692 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.692 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.692 * [taylor]: Rewrote expression to (- (exp a) 1) 0.692 * [taylor]: Taking taylor expansion of (exp a) in a 0.692 * [taylor]: Taking taylor expansion of a in a 0.692 * [taylor]: Taking taylor expansion of 1 in a 0.694 * [taylor]: Taking taylor expansion of 1 in a 0.706 * [approximate]: Taking taylor expansion of (- (exp (sin (expm1 (/ 1 a)))) 1) in (a) around 0 0.706 * [taylor]: Taking taylor expansion of (- (exp (sin (expm1 (/ 1 a)))) 1) in a 0.706 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.706 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.706 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.706 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.706 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.706 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.706 * [taylor]: Taking taylor expansion of a in a 0.707 * [taylor]: Taking taylor expansion of 1 in a 0.707 * [taylor]: Taking taylor expansion of 1 in a 0.707 * [taylor]: Taking taylor expansion of (- (exp (sin (expm1 (/ 1 a)))) 1) in a 0.707 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 0.707 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.707 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.707 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.707 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.707 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.707 * [taylor]: Taking taylor expansion of a in a 0.708 * [taylor]: Taking taylor expansion of 1 in a 0.708 * [taylor]: Taking taylor expansion of 1 in a 0.740 * [approximate]: Taking taylor expansion of (- (exp (sin (expm1 (/ -1 a)))) 1) in (a) around 0 0.740 * [taylor]: Taking taylor expansion of (- (exp (sin (expm1 (/ -1 a)))) 1) in a 0.740 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.740 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.740 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.740 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.740 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.740 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.740 * [taylor]: Taking taylor expansion of -1 in a 0.740 * [taylor]: Taking taylor expansion of a in a 0.740 * [taylor]: Taking taylor expansion of 1 in a 0.741 * [taylor]: Taking taylor expansion of 1 in a 0.741 * [taylor]: Taking taylor expansion of (- (exp (sin (expm1 (/ -1 a)))) 1) in a 0.741 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.741 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.741 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.741 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.741 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.741 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.741 * [taylor]: Taking taylor expansion of -1 in a 0.741 * [taylor]: Taking taylor expansion of a in a 0.742 * [taylor]: Taking taylor expansion of 1 in a 0.742 * [taylor]: Taking taylor expansion of 1 in a 0.773 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 0.774 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.774 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.774 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.774 * [taylor]: Rewrote expression to (- (exp a) 1) 0.774 * [taylor]: Taking taylor expansion of (exp a) in a 0.774 * [taylor]: Taking taylor expansion of a in a 0.774 * [taylor]: Taking taylor expansion of 1 in a 0.775 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.775 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.775 * [taylor]: Rewrote expression to (- (exp a) 1) 0.775 * [taylor]: Taking taylor expansion of (exp a) in a 0.775 * [taylor]: Taking taylor expansion of a in a 0.775 * [taylor]: Taking taylor expansion of 1 in a 0.792 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.792 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.792 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.792 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.792 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.792 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.792 * [taylor]: Taking taylor expansion of a in a 0.792 * [taylor]: Taking taylor expansion of 1 in a 0.793 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.793 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.793 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.793 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.793 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.793 * [taylor]: Taking taylor expansion of a in a 0.793 * [taylor]: Taking taylor expansion of 1 in a 0.814 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.814 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.814 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.814 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.814 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.814 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.814 * [taylor]: Taking taylor expansion of -1 in a 0.814 * [taylor]: Taking taylor expansion of a in a 0.815 * [taylor]: Taking taylor expansion of 1 in a 0.815 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.815 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.815 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.815 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.815 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.815 * [taylor]: Taking taylor expansion of -1 in a 0.815 * [taylor]: Taking taylor expansion of a in a 0.816 * [taylor]: Taking taylor expansion of 1 in a 0.837 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.837 * [approximate]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) in (a) around 0 0.837 * [taylor]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) in a 0.837 * [taylor]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) in a 0.837 * [approximate]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 (/ 1 a)))) 1) (atan (/ 1 a))) in (a) around 0 0.837 * [taylor]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 (/ 1 a)))) 1) (atan (/ 1 a))) in a 0.838 * [taylor]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 (/ 1 a)))) 1) (atan (/ 1 a))) in a 0.838 * [approximate]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 (/ -1 a)))) 1) (atan (/ -1 a))) in (a) around 0 0.838 * [taylor]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 (/ -1 a)))) 1) (atan (/ -1 a))) in a 0.838 * [taylor]: Taking taylor expansion of (atan2 (- (exp (sin (expm1 (/ -1 a)))) 1) (atan (/ -1 a))) in a 0.839 * * * [progress]: simplifying candidates 0.839 * [simplify]: Simplifying using # : (- (pow (exp (sin (expm1 a))) 3) (pow 1 3)) (+ (* (exp (sin (expm1 a))) (exp (sin (expm1 a)))) (+ (* 1 1) (* (exp (sin (expm1 a))) 1))) (- 1) (- (* (exp (sin (expm1 a))) (exp (sin (expm1 a)))) (* 1 1)) (+ (exp (sin (expm1 a))) 1) (- 1) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) (+ (* 2/3 (pow a 3)) (+ (pow a 2) a)) (- (exp (sin (- (exp a) 1))) 1) (- (exp (sin (- (exp a) 1))) 1) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) 0.842 * * [simplify]: iteration 0 : 107 enodes (cost 97 ) 0.844 * * [simplify]: iteration 1 : 337 enodes (cost 93 ) 0.850 * * [simplify]: iteration 2 : 1088 enodes (cost 91 ) 0.878 * * [simplify]: iteration 3 : 5002 enodes (cost 89 ) 0.879 * [simplify]: Simplified to: (- (pow (exp (sin (expm1 a))) 3) 1) (fma (exp (sin (expm1 a))) (+ (exp (sin (expm1 a))) 1) 1) (- 1) (expm1 (+ (* 2 (sin (expm1 a))) 0)) (+ (exp (sin (expm1 a))) 1) (- 1) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) (fmod (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) a) (fma (pow a 3) 2/3 (fma a a a)) (expm1 (sin (expm1 a))) (expm1 (sin (expm1 a))) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) (atan2 (- (exp (sin (expm1 a))) 1) (atan a)) 0.879 * * * [progress]: adding candidates to table 0.904 * * [progress]: iteration 3 / 4 0.905 * * * [progress]: picking best candidate 0.912 * * * * [pick]: Picked # 0.912 * * * [progress]: localizing error 0.930 * * * [progress]: generating rewritten candidates 0.930 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.931 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1 1) 0.932 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1 2) 0.934 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.939 * * * [progress]: generating series expansions 0.939 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.939 * [approximate]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) in (a) around 0 0.939 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) in a 0.939 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) in a 0.940 * [approximate]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.940 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) (atan (/ 1 a))) (/ 1 a)) in a 0.940 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) (atan (/ 1 a))) (/ 1 a)) in a 0.941 * [approximate]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.941 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) (atan (/ -1 a))) (/ -1 a)) in a 0.941 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) (atan (/ -1 a))) (/ -1 a)) in a 0.942 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1 1) 0.942 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.942 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.942 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.942 * [taylor]: Rewrote expression to (- (exp a) 1) 0.942 * [taylor]: Taking taylor expansion of (exp a) in a 0.942 * [taylor]: Taking taylor expansion of a in a 0.943 * [taylor]: Taking taylor expansion of 1 in a 0.944 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.944 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.945 * [taylor]: Rewrote expression to (- (exp a) 1) 0.945 * [taylor]: Taking taylor expansion of (exp a) in a 0.945 * [taylor]: Taking taylor expansion of a in a 0.945 * [taylor]: Taking taylor expansion of 1 in a 0.955 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.955 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.955 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.955 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.955 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.955 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.955 * [taylor]: Taking taylor expansion of a in a 0.955 * [taylor]: Taking taylor expansion of 1 in a 0.956 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.956 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.956 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.956 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.956 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.956 * [taylor]: Taking taylor expansion of a in a 0.956 * [taylor]: Taking taylor expansion of 1 in a 0.977 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.977 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.977 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.977 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.977 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.977 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.977 * [taylor]: Taking taylor expansion of -1 in a 0.977 * [taylor]: Taking taylor expansion of a in a 0.977 * [taylor]: Taking taylor expansion of 1 in a 0.978 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.978 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.978 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.978 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.978 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.978 * [taylor]: Taking taylor expansion of -1 in a 0.978 * [taylor]: Taking taylor expansion of a in a 0.978 * [taylor]: Taking taylor expansion of 1 in a 1.004 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1 2) 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 1.006 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.006 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.006 * [taylor]: Rewrote expression to (- (exp a) 1) 1.006 * [taylor]: Taking taylor expansion of (exp a) in a 1.006 * [taylor]: Taking taylor expansion of a in a 1.006 * [taylor]: Taking taylor expansion of 1 in a 1.016 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.016 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.016 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.016 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.016 * [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 1.017 * [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 1.018 * [taylor]: Taking taylor expansion of 1 in a 1.038 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.038 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.038 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.038 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.038 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.038 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.038 * [taylor]: Taking taylor expansion of -1 in a 1.038 * [taylor]: Taking taylor expansion of a in a 1.039 * [taylor]: Taking taylor expansion of 1 in a 1.039 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.039 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.039 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.039 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.039 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.040 * [taylor]: Taking taylor expansion of -1 in a 1.040 * [taylor]: Taking taylor expansion of a in a 1.040 * [taylor]: Taking taylor expansion of 1 in a 1.061 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.061 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) in (a) around 0 1.061 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) in a 1.061 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 a)))) in a 1.061 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 a)))) 1) 1.061 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 a)))) in a 1.061 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 a))) in a 1.061 * [taylor]: Taking taylor expansion of 2 in a 1.061 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.061 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.061 * [taylor]: Rewrote expression to (- (exp a) 1) 1.061 * [taylor]: Taking taylor expansion of (exp a) in a 1.061 * [taylor]: Taking taylor expansion of a in a 1.061 * [taylor]: Taking taylor expansion of 1 in a 1.064 * [taylor]: Taking taylor expansion of 1 in a 1.064 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 a))) 1) in a 1.064 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 1.064 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.064 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.064 * [taylor]: Rewrote expression to (- (exp a) 1) 1.064 * [taylor]: Taking taylor expansion of (exp a) in a 1.064 * [taylor]: Taking taylor expansion of a in a 1.064 * [taylor]: Taking taylor expansion of 1 in a 1.071 * [taylor]: Taking taylor expansion of 1 in a 1.073 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) in a 1.073 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 a)))) in a 1.073 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 a)))) 1) 1.073 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 a)))) in a 1.073 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 a))) in a 1.073 * [taylor]: Taking taylor expansion of 2 in a 1.073 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.074 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.074 * [taylor]: Rewrote expression to (- (exp a) 1) 1.074 * [taylor]: Taking taylor expansion of (exp a) in a 1.074 * [taylor]: Taking taylor expansion of a in a 1.074 * [taylor]: Taking taylor expansion of 1 in a 1.076 * [taylor]: Taking taylor expansion of 1 in a 1.076 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 a))) 1) in a 1.076 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 1.076 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.076 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.076 * [taylor]: Rewrote expression to (- (exp a) 1) 1.076 * [taylor]: Taking taylor expansion of (exp a) in a 1.076 * [taylor]: Taking taylor expansion of a in a 1.076 * [taylor]: Taking taylor expansion of 1 in a 1.078 * [taylor]: Taking taylor expansion of 1 in a 1.094 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) in (a) around 0 1.094 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) in a 1.094 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 (/ 1 a))))) in a 1.094 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 (/ 1 a))))) 1) 1.094 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 (/ 1 a))))) in a 1.094 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 (/ 1 a)))) in a 1.094 * [taylor]: Taking taylor expansion of 2 in a 1.094 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.094 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.094 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.094 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.094 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.094 * [taylor]: Taking taylor expansion of a in a 1.095 * [taylor]: Taking taylor expansion of 1 in a 1.095 * [taylor]: Taking taylor expansion of 1 in a 1.095 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 (/ 1 a)))) 1) in a 1.095 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 1.095 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.095 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.096 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.096 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.096 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.096 * [taylor]: Taking taylor expansion of a in a 1.096 * [taylor]: Taking taylor expansion of 1 in a 1.096 * [taylor]: Taking taylor expansion of 1 in a 1.097 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) in a 1.097 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 (/ 1 a))))) in a 1.097 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 (/ 1 a))))) 1) 1.097 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 (/ 1 a))))) in a 1.097 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 (/ 1 a)))) in a 1.097 * [taylor]: Taking taylor expansion of 2 in a 1.097 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.097 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.097 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.097 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.097 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.097 * [taylor]: Taking taylor expansion of a in a 1.098 * [taylor]: Taking taylor expansion of 1 in a 1.098 * [taylor]: Taking taylor expansion of 1 in a 1.098 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 (/ 1 a)))) 1) in a 1.098 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 1.098 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.098 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.098 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.099 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.099 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.099 * [taylor]: Taking taylor expansion of a in a 1.099 * [taylor]: Taking taylor expansion of 1 in a 1.100 * [taylor]: Taking taylor expansion of 1 in a 1.178 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) in (a) around 0 1.178 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) in a 1.178 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 (/ -1 a))))) in a 1.178 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 (/ -1 a))))) 1) 1.178 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 (/ -1 a))))) in a 1.178 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 (/ -1 a)))) in a 1.178 * [taylor]: Taking taylor expansion of 2 in a 1.178 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.178 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.178 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.178 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.178 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.178 * [taylor]: Taking taylor expansion of -1 in a 1.178 * [taylor]: Taking taylor expansion of a in a 1.178 * [taylor]: Taking taylor expansion of 1 in a 1.179 * [taylor]: Taking taylor expansion of 1 in a 1.179 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 (/ -1 a)))) 1) in a 1.179 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 1.179 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.179 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.179 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.179 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.179 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.179 * [taylor]: Taking taylor expansion of -1 in a 1.179 * [taylor]: Taking taylor expansion of a in a 1.180 * [taylor]: Taking taylor expansion of 1 in a 1.180 * [taylor]: Taking taylor expansion of 1 in a 1.181 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) in a 1.181 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 (/ -1 a))))) in a 1.181 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 (/ -1 a))))) 1) 1.181 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 (/ -1 a))))) in a 1.181 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 (/ -1 a)))) in a 1.181 * [taylor]: Taking taylor expansion of 2 in a 1.181 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.181 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.181 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.181 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.181 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.181 * [taylor]: Taking taylor expansion of -1 in a 1.181 * [taylor]: Taking taylor expansion of a in a 1.182 * [taylor]: Taking taylor expansion of 1 in a 1.182 * [taylor]: Taking taylor expansion of 1 in a 1.182 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 (/ -1 a)))) 1) in a 1.182 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 1.182 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.182 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.182 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.182 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.182 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.182 * [taylor]: Taking taylor expansion of -1 in a 1.182 * [taylor]: Taking taylor expansion of a in a 1.183 * [taylor]: Taking taylor expansion of 1 in a 1.183 * [taylor]: Taking taylor expansion of 1 in a 1.258 * * * [progress]: simplifying candidates 1.258 * [simplify]: Simplifying using # : (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (- (expm1 (+ (* 2 (sin (expm1 a))) 0))) (- (+ (exp (sin (expm1 a))) 1)) (/ (exp (+ (* 2 (sin (expm1 a))) 0)) (+ (exp (sin (expm1 a))) 1)) (/ 1 (+ (exp (sin (expm1 a))) 1)) (/ 1 (+ (exp (sin (expm1 a))) 1)) (/ (+ (exp (sin (expm1 a))) 1) (expm1 (+ (* 2 (sin (expm1 a))) 0))) (/ (expm1 (+ (* 2 (sin (expm1 a))) 0)) (+ (pow (exp (sin (expm1 a))) 3) (pow 1 3))) (/ (expm1 (+ (* 2 (sin (expm1 a))) 0)) (- (* (exp (sin (expm1 a))) (exp (sin (expm1 a)))) (* 1 1))) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) (- (+ (* 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 (* 2 (sin (- (exp a) 1)))) 1) (+ (exp (sin (- (exp a) 1))) 1)) (/ (- (exp (* 2 (sin (- (exp a) 1)))) 1) (+ (exp (sin (- (exp a) 1))) 1)) 1.261 * * [simplify]: iteration 0 : 121 enodes (cost 162 ) 1.264 * * [simplify]: iteration 1 : 350 enodes (cost 156 ) 1.270 * * [simplify]: iteration 2 : 1188 enodes (cost 140 ) 1.301 * * [simplify]: iteration 3 : 5001 enodes (cost 140 ) 1.302 * [simplify]: Simplified to: (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (- (expm1 (* 2 (sin (expm1 a))))) (- (+ (exp (sin (expm1 a))) 1)) (/ (exp (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (/ 1 (+ (exp (sin (expm1 a))) 1)) (/ 1 (+ (exp (sin (expm1 a))) 1)) (/ (+ (exp (sin (expm1 a))) 1) (expm1 (* 2 (sin (expm1 a))))) (/ 1 (/ (+ 1 (pow (exp (sin (expm1 a))) 3)) (expm1 (* 2 (sin (expm1 a)))))) 1 (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 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 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) 1.302 * * * [progress]: adding candidates to table 1.361 * * [progress]: iteration 4 / 4 1.361 * * * [progress]: picking best candidate 1.370 * * * * [pick]: Picked # 1.370 * * * [progress]: localizing error 1.388 * * * [progress]: generating rewritten candidates 1.388 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.389 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.394 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2 1 2) 1.396 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1 1) 1.398 * * * [progress]: generating series expansions 1.398 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.398 * [approximate]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) in (a) around 0 1.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) in a 1.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) in a 1.399 * [approximate]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.399 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) (atan (/ 1 a))) (/ 1 a)) in a 1.399 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ 1 a))))) (+ (exp (sin (expm1 (/ 1 a)))) 1)) (atan (/ 1 a))) (/ 1 a)) in a 1.400 * [approximate]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.400 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) (atan (/ -1 a))) (/ -1 a)) in a 1.400 * [taylor]: Taking taylor expansion of (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 (/ -1 a))))) (+ (exp (sin (expm1 (/ -1 a)))) 1)) (atan (/ -1 a))) (/ -1 a)) in a 1.401 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.401 * [approximate]: Taking taylor expansion of (/ (+ (exp (sin (expm1 a))) 1) (expm1 (* 2 (sin (expm1 a))))) in (a) around 0 1.401 * [taylor]: Taking taylor expansion of (/ (+ (exp (sin (expm1 a))) 1) (expm1 (* 2 (sin (expm1 a))))) in a 1.401 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 a))) 1) in a 1.401 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 1.401 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.401 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.401 * [taylor]: Rewrote expression to (- (exp a) 1) 1.401 * [taylor]: Taking taylor expansion of (exp a) in a 1.402 * [taylor]: Taking taylor expansion of a in a 1.402 * [taylor]: Taking taylor expansion of 1 in a 1.404 * [taylor]: Taking taylor expansion of 1 in a 1.404 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 a)))) in a 1.404 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 a)))) 1) 1.404 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 a)))) in a 1.404 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 a))) in a 1.404 * [taylor]: Taking taylor expansion of 2 in a 1.404 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.404 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.404 * [taylor]: Rewrote expression to (- (exp a) 1) 1.404 * [taylor]: Taking taylor expansion of (exp a) in a 1.404 * [taylor]: Taking taylor expansion of a in a 1.404 * [taylor]: Taking taylor expansion of 1 in a 1.406 * [taylor]: Taking taylor expansion of 1 in a 1.408 * [taylor]: Taking taylor expansion of (/ (+ (exp (sin (expm1 a))) 1) (expm1 (* 2 (sin (expm1 a))))) in a 1.408 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 a))) 1) in a 1.408 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 1.408 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.408 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.408 * [taylor]: Rewrote expression to (- (exp a) 1) 1.408 * [taylor]: Taking taylor expansion of (exp a) in a 1.408 * [taylor]: Taking taylor expansion of a in a 1.408 * [taylor]: Taking taylor expansion of 1 in a 1.410 * [taylor]: Taking taylor expansion of 1 in a 1.410 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 a)))) in a 1.410 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 a)))) 1) 1.410 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 a)))) in a 1.410 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 a))) in a 1.410 * [taylor]: Taking taylor expansion of 2 in a 1.411 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.411 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.411 * [taylor]: Rewrote expression to (- (exp a) 1) 1.411 * [taylor]: Taking taylor expansion of (exp a) in a 1.411 * [taylor]: Taking taylor expansion of a in a 1.411 * [taylor]: Taking taylor expansion of 1 in a 1.413 * [taylor]: Taking taylor expansion of 1 in a 1.432 * [approximate]: Taking taylor expansion of (/ (+ (exp (sin (expm1 (/ 1 a)))) 1) (expm1 (* 2 (sin (expm1 (/ 1 a)))))) in (a) around 0 1.432 * [taylor]: Taking taylor expansion of (/ (+ (exp (sin (expm1 (/ 1 a)))) 1) (expm1 (* 2 (sin (expm1 (/ 1 a)))))) in a 1.432 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 (/ 1 a)))) 1) in a 1.432 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 1.432 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.432 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.432 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.433 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.433 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.433 * [taylor]: Taking taylor expansion of a in a 1.433 * [taylor]: Taking taylor expansion of 1 in a 1.433 * [taylor]: Taking taylor expansion of 1 in a 1.434 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 (/ 1 a))))) in a 1.434 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 (/ 1 a))))) 1) 1.434 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 (/ 1 a))))) in a 1.434 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 (/ 1 a)))) in a 1.434 * [taylor]: Taking taylor expansion of 2 in a 1.434 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.434 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.434 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.434 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.434 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.434 * [taylor]: Taking taylor expansion of a in a 1.434 * [taylor]: Taking taylor expansion of 1 in a 1.435 * [taylor]: Taking taylor expansion of 1 in a 1.435 * [taylor]: Taking taylor expansion of (/ (+ (exp (sin (expm1 (/ 1 a)))) 1) (expm1 (* 2 (sin (expm1 (/ 1 a)))))) in a 1.435 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 (/ 1 a)))) 1) in a 1.435 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) in a 1.435 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.435 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.435 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.436 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.436 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.436 * [taylor]: Taking taylor expansion of a in a 1.436 * [taylor]: Taking taylor expansion of 1 in a 1.436 * [taylor]: Taking taylor expansion of 1 in a 1.436 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 (/ 1 a))))) in a 1.437 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 (/ 1 a))))) 1) 1.437 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 (/ 1 a))))) in a 1.437 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 (/ 1 a)))) in a 1.437 * [taylor]: Taking taylor expansion of 2 in a 1.437 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.437 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.437 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.437 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.437 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.437 * [taylor]: Taking taylor expansion of a in a 1.437 * [taylor]: Taking taylor expansion of 1 in a 1.438 * [taylor]: Taking taylor expansion of 1 in a 1.514 * [approximate]: Taking taylor expansion of (/ (+ (exp (sin (expm1 (/ -1 a)))) 1) (expm1 (* 2 (sin (expm1 (/ -1 a)))))) in (a) around 0 1.514 * [taylor]: Taking taylor expansion of (/ (+ (exp (sin (expm1 (/ -1 a)))) 1) (expm1 (* 2 (sin (expm1 (/ -1 a)))))) in a 1.514 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 (/ -1 a)))) 1) in a 1.514 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 1.515 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.515 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.515 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.515 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.515 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.515 * [taylor]: Taking taylor expansion of -1 in a 1.515 * [taylor]: Taking taylor expansion of a in a 1.515 * [taylor]: Taking taylor expansion of 1 in a 1.516 * [taylor]: Taking taylor expansion of 1 in a 1.516 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 (/ -1 a))))) in a 1.516 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 (/ -1 a))))) 1) 1.516 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 (/ -1 a))))) in a 1.516 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 (/ -1 a)))) in a 1.516 * [taylor]: Taking taylor expansion of 2 in a 1.516 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.516 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.516 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.516 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.516 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.516 * [taylor]: Taking taylor expansion of -1 in a 1.516 * [taylor]: Taking taylor expansion of a in a 1.516 * [taylor]: Taking taylor expansion of 1 in a 1.517 * [taylor]: Taking taylor expansion of 1 in a 1.518 * [taylor]: Taking taylor expansion of (/ (+ (exp (sin (expm1 (/ -1 a)))) 1) (expm1 (* 2 (sin (expm1 (/ -1 a)))))) in a 1.518 * [taylor]: Taking taylor expansion of (+ (exp (sin (expm1 (/ -1 a)))) 1) in a 1.518 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 1.518 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.518 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.518 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.518 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.518 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.518 * [taylor]: Taking taylor expansion of -1 in a 1.518 * [taylor]: Taking taylor expansion of a in a 1.518 * [taylor]: Taking taylor expansion of 1 in a 1.519 * [taylor]: Taking taylor expansion of 1 in a 1.519 * [taylor]: Taking taylor expansion of (expm1 (* 2 (sin (expm1 (/ -1 a))))) in a 1.519 * [taylor]: Rewrote expression to (- (exp (* 2 (sin (expm1 (/ -1 a))))) 1) 1.519 * [taylor]: Taking taylor expansion of (exp (* 2 (sin (expm1 (/ -1 a))))) in a 1.519 * [taylor]: Taking taylor expansion of (* 2 (sin (expm1 (/ -1 a)))) in a 1.519 * [taylor]: Taking taylor expansion of 2 in a 1.519 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.519 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.519 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.519 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.519 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.519 * [taylor]: Taking taylor expansion of -1 in a 1.519 * [taylor]: Taking taylor expansion of a in a 1.519 * [taylor]: Taking taylor expansion of 1 in a 1.520 * [taylor]: Taking taylor expansion of 1 in a 1.596 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2 1 2) 1.596 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.596 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.596 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.596 * [taylor]: Rewrote expression to (- (exp a) 1) 1.596 * [taylor]: Taking taylor expansion of (exp a) in a 1.596 * [taylor]: Taking taylor expansion of a in a 1.596 * [taylor]: Taking taylor expansion of 1 in a 1.598 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.598 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.598 * [taylor]: Rewrote expression to (- (exp a) 1) 1.598 * [taylor]: Taking taylor expansion of (exp a) in a 1.598 * [taylor]: Taking taylor expansion of a in a 1.598 * [taylor]: Taking taylor expansion of 1 in a 1.607 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.607 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.608 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.608 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.608 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.608 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.608 * [taylor]: Taking taylor expansion of a in a 1.608 * [taylor]: Taking taylor expansion of 1 in a 1.608 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.608 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.608 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.608 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.608 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.608 * [taylor]: Taking taylor expansion of a in a 1.609 * [taylor]: Taking taylor expansion of 1 in a 1.629 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.629 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.629 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.629 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.629 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.629 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.630 * [taylor]: Taking taylor expansion of -1 in a 1.630 * [taylor]: Taking taylor expansion of a in a 1.630 * [taylor]: Taking taylor expansion of 1 in a 1.630 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.630 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.630 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.630 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.630 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.630 * [taylor]: Taking taylor expansion of -1 in a 1.630 * [taylor]: Taking taylor expansion of a in a 1.631 * [taylor]: Taking taylor expansion of 1 in a 1.651 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1 1) 1.651 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 1.651 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.651 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.651 * [taylor]: Rewrote expression to (- (exp a) 1) 1.651 * [taylor]: Taking taylor expansion of (exp a) in a 1.651 * [taylor]: Taking taylor expansion of a in a 1.651 * [taylor]: Taking taylor expansion of 1 in a 1.653 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.653 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.653 * [taylor]: Rewrote expression to (- (exp a) 1) 1.653 * [taylor]: Taking taylor expansion of (exp a) in a 1.653 * [taylor]: Taking taylor expansion of a in a 1.653 * [taylor]: Taking taylor expansion of 1 in a 1.668 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 1.668 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.668 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.668 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.668 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.668 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.668 * [taylor]: Taking taylor expansion of a in a 1.669 * [taylor]: Taking taylor expansion of 1 in a 1.669 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.669 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.669 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.669 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.669 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.669 * [taylor]: Taking taylor expansion of a in a 1.669 * [taylor]: Taking taylor expansion of 1 in a 1.691 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 1.691 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.691 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.691 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.691 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.691 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.691 * [taylor]: Taking taylor expansion of -1 in a 1.691 * [taylor]: Taking taylor expansion of a in a 1.692 * [taylor]: Taking taylor expansion of 1 in a 1.692 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.692 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.692 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.692 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.692 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.692 * [taylor]: Taking taylor expansion of -1 in a 1.692 * [taylor]: Taking taylor expansion of a in a 1.692 * [taylor]: Taking taylor expansion of 1 in a 1.713 * * * [progress]: simplifying candidates 1.713 * [simplify]: Simplifying using # : (- (+ (exp (sin (expm1 a))) 1)) (- (expm1 (* 2 (sin (expm1 a))))) (/ 1 (expm1 (* 2 (sin (expm1 a))))) (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (* (expm1 (* 2 (sin (expm1 a)))) (+ (* (exp (sin (expm1 a))) (exp (sin (expm1 a)))) (- (* 1 1) (* (exp (sin (expm1 a))) 1)))) (* (expm1 (* 2 (sin (expm1 a)))) (- (exp (sin (expm1 a))) 1)) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (- (+ (* 1/3 a) (/ 1 a)) 1) (/ (+ (exp (sin (- (exp a) 1))) 1) (- (exp (* 2 (sin (- (exp a) 1)))) 1)) (/ (+ (exp (sin (- (exp a) 1))) 1) (- (exp (* 2 (sin (- (exp a) 1)))) 1)) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) (- (+ (* 1/2 (pow a 2)) a) (* 5/24 (pow a 4))) (sin (- (exp a) 1)) (sin (- (exp a) 1)) 1.716 * * [simplify]: iteration 0 : 112 enodes (cost 148 ) 1.719 * * [simplify]: iteration 1 : 343 enodes (cost 143 ) 1.725 * * [simplify]: iteration 2 : 1361 enodes (cost 139 ) 1.763 * * [simplify]: iteration 3 : 5001 enodes (cost 139 ) 1.764 * [simplify]: Simplified to: (- (+ (exp (sin (expm1 a))) 1)) (- (expm1 (* 2 (sin (expm1 a))))) (/ 1 (expm1 (* 2 (sin (expm1 a))))) (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (* (- (+ (pow (exp (sin (expm1 a))) 2) 1) (exp (sin (expm1 a)))) (expm1 (* 2 (sin (expm1 a))))) (* (expm1 (sin (expm1 a))) (expm1 (* 2 (sin (expm1 a))))) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (* (sin (exp a)) (cos 1)) (* (cos (exp a)) (sin 1)) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fmod (atan2 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1)) (atan a)) a) (fma a 1/3 (- (/ 1 a) 1)) (/ 1 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1))) (/ 1 (/ (expm1 (* 2 (sin (expm1 a)))) (+ (exp (sin (expm1 a))) 1))) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) (fma (pow a 2) 1/2 (- a (* 5/24 (pow a 4)))) (sin (expm1 a)) (sin (expm1 a)) 1.764 * * * [progress]: adding candidates to table 1.822 * [progress]: [Phase 3 of 3] Extracting. 1.823 * * [regime]: Finding splitpoints for: (# # # #) 1.825 * * * [regime-changes]: Trying 1 branch expressions: (a) 1.825 * * * * [regimes]: Trying to branch on a from (# # # #) 1.855 * * * [regime]: Found split indices: #