0.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.373 * * * [progress]: [2/2] Setting up program. 0.376 * [progress]: [Phase 2 of 3] Improving. 0.376 * [simplify]: Simplifying using # : (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.376 * [simplify]: Sending expressions to egg_math: (fabs (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) 0.379 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.379 * [simplify]: Simplified to: (fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)) 0.379 * * [progress]: iteration 1 / 4 0.379 * * * [progress]: picking best candidate 0.382 * * * * [pick]: Picked # 0.382 * * * [progress]: localizing error 0.394 * * * [progress]: generating rewritten candidates 0.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.394 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.397 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.397 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.398 * * * [progress]: generating series expansions 0.398 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.398 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.398 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.399 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.399 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.399 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.400 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.400 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.400 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.400 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.400 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.401 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.401 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.401 * [taylor]: Rewrote expression to (- (exp a) 1) 0.401 * [taylor]: Taking taylor expansion of (exp a) in a 0.401 * [taylor]: Taking taylor expansion of a in a 0.401 * [taylor]: Taking taylor expansion of 1 in a 0.402 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.402 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.402 * [taylor]: Rewrote expression to (- (exp a) 1) 0.402 * [taylor]: Taking taylor expansion of (exp a) in a 0.402 * [taylor]: Taking taylor expansion of a in a 0.402 * [taylor]: Taking taylor expansion of 1 in a 0.413 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.413 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.413 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.413 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.413 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.413 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.413 * [taylor]: Taking taylor expansion of a in a 0.413 * [taylor]: Taking taylor expansion of 1 in a 0.414 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.414 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.414 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.414 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.414 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.414 * [taylor]: Taking taylor expansion of a in a 0.414 * [taylor]: Taking taylor expansion of 1 in a 0.441 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.441 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.441 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.441 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.441 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.441 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.441 * [taylor]: Taking taylor expansion of -1 in a 0.441 * [taylor]: Taking taylor expansion of a in a 0.441 * [taylor]: Taking taylor expansion of 1 in a 0.442 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.442 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.442 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.442 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.442 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.442 * [taylor]: Taking taylor expansion of -1 in a 0.442 * [taylor]: Taking taylor expansion of a in a 0.442 * [taylor]: Taking taylor expansion of 1 in a 0.462 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.462 * [approximate]: Taking taylor expansion of (expm1 (sin (expm1 a))) in (a) around 0 0.462 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.462 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.462 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.462 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.462 * [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 0.464 * [taylor]: Taking taylor expansion of 1 in a 0.464 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 a))) in a 0.464 * [taylor]: Rewrote expression to (- (exp (sin (expm1 a))) 1) 0.464 * [taylor]: Taking taylor expansion of (exp (sin (expm1 a))) in a 0.464 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.465 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.465 * [taylor]: Rewrote expression to (- (exp a) 1) 0.465 * [taylor]: Taking taylor expansion of (exp a) in a 0.465 * [taylor]: Taking taylor expansion of a in a 0.465 * [taylor]: Taking taylor expansion of 1 in a 0.466 * [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 0.476 * [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 0.476 * [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) 0.477 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ 1 a)))) 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 0.477 * [taylor]: Taking taylor expansion of a in a 0.477 * [taylor]: Taking taylor expansion of 1 in a 0.478 * [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 0.509 * [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) 0.509 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.509 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.509 * [taylor]: Taking taylor expansion of -1 in a 0.509 * [taylor]: Taking taylor expansion of a in a 0.509 * [taylor]: Taking taylor expansion of 1 in a 0.510 * [taylor]: Taking taylor expansion of 1 in a 0.510 * [taylor]: Taking taylor expansion of (expm1 (sin (expm1 (/ -1 a)))) in a 0.510 * [taylor]: Rewrote expression to (- (exp (sin (expm1 (/ -1 a)))) 1) 0.510 * [taylor]: Taking taylor expansion of (exp (sin (expm1 (/ -1 a)))) in a 0.510 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.510 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.510 * [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 0.511 * [taylor]: Taking taylor expansion of 1 in a 0.546 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.546 * [approximate]: Taking taylor expansion of (atan2 (expm1 (sin (expm1 a))) (atan a)) in (a) around 0 0.546 * [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 0.547 * [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 0.548 * * * [progress]: simplifying candidates 0.548 * [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)) 0.548 * [simplify]: Sending expressions to egg_math: (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (sin (expm1 h0))) (log1p (sin (expm1 h0))) (* (sin (exp h0)) (cos 1)) (* (cos (exp h0)) (sin 1)) (log (sin (expm1 h0))) (exp (sin (expm1 h0))) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))) (* (* (sin (expm1 h0)) (sin (expm1 h0))) (sin (expm1 h0))) (sqrt (sin (expm1 h0))) (sqrt (sin (expm1 h0))) (exp (sin (expm1 h0))) (expm1 (expm1 (sin (expm1 h0)))) (log1p (expm1 (sin (expm1 h0)))) (log (expm1 (sin (expm1 h0)))) (exp (expm1 (sin (expm1 h0)))) (* (cbrt (expm1 (sin (expm1 h0)))) (cbrt (expm1 (sin (expm1 h0))))) (cbrt (expm1 (sin (expm1 h0)))) (* (* (expm1 (sin (expm1 h0))) (expm1 (sin (expm1 h0)))) (expm1 (sin (expm1 h0)))) (sqrt (expm1 (sin (expm1 h0)))) (sqrt (expm1 (sin (expm1 h0)))) (expm1 (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (log1p (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (log (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (exp (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (* (cbrt (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (cbrt (atan2 (expm1 (sin (expm1 h0))) (atan h0)))) (cbrt (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (* (* (atan2 (expm1 (sin (expm1 h0))) (atan h0)) (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (sqrt (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (sqrt (atan2 (expm1 (sin (expm1 h0))) (atan h0))) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (- (+ (* 1/2 (pow h0 2)) h0) (* 5/24 (pow h0 4))) (sin (- (exp h0) 1)) (sin (- (exp h0) 1)) (+ (* 2/3 (pow h0 3)) (+ (pow h0 2) h0)) (- (exp (sin (- (exp h0) 1))) 1) (- (exp (sin (- (exp h0) 1))) 1) (atan2 (expm1 (sin (expm1 h0))) (atan h0)) (atan2 (expm1 (sin (expm1 h0))) (atan h0)) (atan2 (expm1 (sin (expm1 h0))) (atan h0)) 0.551 * * [simplify]: iteration 0 : 108 enodes (cost 302 ) 0.554 * * [simplify]: iteration 1 : 242 enodes (cost 264 ) 0.558 * * [simplify]: iteration 2 : 720 enodes (cost 264 ) 0.573 * * [simplify]: iteration 3 : 2933 enodes (cost 264 ) 0.667 * * [simplify]: iteration 4 : 5001 enodes (cost 264 ) 0.668 * [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)) 0.669 * * * [progress]: adding candidates to table 0.826 * * [progress]: iteration 2 / 4 0.826 * * * [progress]: picking best candidate 0.865 * * * * [pick]: Picked # 0.865 * * * [progress]: localizing error 0.882 * * * [progress]: generating rewritten candidates 0.882 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.882 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.882 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.882 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1) 0.885 * * * [progress]: generating series expansions 0.885 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.886 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.886 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.886 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.886 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.886 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.886 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.887 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.887 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.887 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.888 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.888 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.888 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.888 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.888 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.888 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.888 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.889 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.889 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.889 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.890 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.890 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 0.890 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.890 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 0.890 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 0.890 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.891 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 0.891 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 0.891 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.891 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 0.892 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1) 0.892 * [approximate]: Taking taylor expansion of (sin (expm1 a)) in (a) around 0 0.892 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.892 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.892 * [taylor]: Rewrote expression to (- (exp a) 1) 0.892 * [taylor]: Taking taylor expansion of (exp a) in a 0.892 * [taylor]: Taking taylor expansion of a in a 0.892 * [taylor]: Taking taylor expansion of 1 in a 0.894 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 0.894 * [taylor]: Taking taylor expansion of (expm1 a) in a 0.894 * [taylor]: Rewrote expression to (- (exp a) 1) 0.894 * [taylor]: Taking taylor expansion of (exp a) in a 0.894 * [taylor]: Taking taylor expansion of a in a 0.894 * [taylor]: Taking taylor expansion of 1 in a 0.903 * [approximate]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in (a) around 0 0.903 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.904 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.904 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.904 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.904 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.904 * [taylor]: Taking taylor expansion of a in a 0.904 * [taylor]: Taking taylor expansion of 1 in a 0.904 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 0.904 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 0.904 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 0.904 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.904 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.904 * [taylor]: Taking taylor expansion of a in a 0.905 * [taylor]: Taking taylor expansion of 1 in a 0.929 * [approximate]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in (a) around 0 0.929 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.929 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.929 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.929 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.929 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.929 * [taylor]: Taking taylor expansion of -1 in a 0.929 * [taylor]: Taking taylor expansion of a in a 0.930 * [taylor]: Taking taylor expansion of 1 in a 0.930 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 0.930 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 0.930 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 0.930 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.930 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.930 * [taylor]: Taking taylor expansion of -1 in a 0.930 * [taylor]: Taking taylor expansion of a in a 0.930 * [taylor]: Taking taylor expansion of 1 in a 0.950 * * * [progress]: simplifying candidates 0.951 * [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 (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 (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))) (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) (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) (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)) 0.951 * [simplify]: Sending expressions to egg_math: (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (sin (expm1 h0))) (log1p (sin (expm1 h0))) (* (sin (exp h0)) (cos 1)) (* (cos (exp h0)) (sin 1)) (log (sin (expm1 h0))) (exp (sin (expm1 h0))) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))) (* (* (sin (expm1 h0)) (sin (expm1 h0))) (sin (expm1 h0))) (sqrt (sin (expm1 h0))) (sqrt (sin (expm1 h0))) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (- (+ (* 1/2 (pow h0 2)) h0) (* 5/24 (pow h0 4))) (sin (- (exp h0) 1)) (sin (- (exp h0) 1)) 0.954 * * [simplify]: iteration 0 : 67 enodes (cost 360 ) 0.956 * * [simplify]: iteration 1 : 138 enodes (cost 315 ) 0.958 * * [simplify]: iteration 2 : 360 enodes (cost 315 ) 0.966 * * [simplify]: iteration 3 : 1390 enodes (cost 315 ) 1.014 * * [simplify]: iteration 4 : 5001 enodes (cost 315 ) 1.015 * [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 (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 (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))) (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) (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) (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)) 1.016 * * * [progress]: adding candidates to table 1.212 * * [progress]: iteration 3 / 4 1.212 * * * [progress]: picking best candidate 1.283 * * * * [pick]: Picked # 1.283 * * * [progress]: localizing error 1.312 * * * [progress]: generating rewritten candidates 1.312 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 1.313 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.313 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.313 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 1.331 * * * [progress]: generating series expansions 1.331 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 1.331 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.331 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.331 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.332 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.332 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.332 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.333 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.333 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.333 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.333 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.334 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.334 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.334 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.334 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.334 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.334 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.335 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.335 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.335 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.336 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.336 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 1.336 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.336 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 1.337 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 1.337 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.337 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 1.338 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 1.338 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.338 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 1.338 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1) 1.338 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in (a) around 0 1.338 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.338 * [taylor]: Taking taylor expansion of 1/3 in a 1.338 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.338 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.338 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.339 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.339 * [taylor]: Rewrote expression to (- (exp a) 1) 1.339 * [taylor]: Taking taylor expansion of (exp a) in a 1.339 * [taylor]: Taking taylor expansion of a in a 1.339 * [taylor]: Taking taylor expansion of 1 in a 1.342 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 a)) 2) 1/3) in a 1.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 a)) 2)))) in a 1.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 a)) 2))) in a 1.342 * [taylor]: Taking taylor expansion of 1/3 in a 1.342 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 a)) 2)) in a 1.342 * [taylor]: Taking taylor expansion of (pow (sin (expm1 a)) 2) in a 1.342 * [taylor]: Taking taylor expansion of (sin (expm1 a)) in a 1.342 * [taylor]: Taking taylor expansion of (expm1 a) in a 1.342 * [taylor]: Rewrote expression to (- (exp a) 1) 1.342 * [taylor]: Taking taylor expansion of (exp a) in a 1.342 * [taylor]: Taking taylor expansion of a in a 1.342 * [taylor]: Taking taylor expansion of 1 in a 1.359 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in (a) around 0 1.359 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.359 * [taylor]: Taking taylor expansion of 1/3 in a 1.359 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.359 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.359 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.359 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.359 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.359 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.359 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.359 * [taylor]: Taking taylor expansion of a in a 1.359 * [taylor]: Taking taylor expansion of 1 in a 1.360 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ 1 a))) 2) 1/3) in a 1.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2)))) in a 1.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ 1 a))) 2))) in a 1.360 * [taylor]: Taking taylor expansion of 1/3 in a 1.360 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ 1 a))) 2)) in a 1.360 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ 1 a))) 2) in a 1.360 * [taylor]: Taking taylor expansion of (sin (expm1 (/ 1 a))) in a 1.360 * [taylor]: Taking taylor expansion of (expm1 (/ 1 a)) in a 1.360 * [taylor]: Rewrote expression to (- (exp (/ 1 a)) 1) 1.361 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.361 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.361 * [taylor]: Taking taylor expansion of a in a 1.361 * [taylor]: Taking taylor expansion of 1 in a 1.418 * [approximate]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in (a) around 0 1.418 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.418 * [taylor]: Taking taylor expansion of 1/3 in a 1.418 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.418 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.418 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.418 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.418 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.418 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.418 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.418 * [taylor]: Taking taylor expansion of -1 in a 1.418 * [taylor]: Taking taylor expansion of a in a 1.418 * [taylor]: Taking taylor expansion of 1 in a 1.420 * [taylor]: Taking taylor expansion of (pow (pow (sin (expm1 (/ -1 a))) 2) 1/3) in a 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2)))) in a 1.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (expm1 (/ -1 a))) 2))) in a 1.420 * [taylor]: Taking taylor expansion of 1/3 in a 1.420 * [taylor]: Taking taylor expansion of (log (pow (sin (expm1 (/ -1 a))) 2)) in a 1.420 * [taylor]: Taking taylor expansion of (pow (sin (expm1 (/ -1 a))) 2) in a 1.420 * [taylor]: Taking taylor expansion of (sin (expm1 (/ -1 a))) in a 1.420 * [taylor]: Taking taylor expansion of (expm1 (/ -1 a)) in a 1.420 * [taylor]: Rewrote expression to (- (exp (/ -1 a)) 1) 1.420 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.420 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.420 * [taylor]: Taking taylor expansion of -1 in a 1.420 * [taylor]: Taking taylor expansion of a in a 1.420 * [taylor]: Taking taylor expansion of 1 in a 1.483 * * * [progress]: simplifying candidates 1.484 * [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 (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 (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log1p (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (log (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (exp (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a))) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (* (* (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a))))) (atan a)) a)) (expm1 (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (log1p (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (+ 1/3 1/3) (+ 1 1) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (+ 1 1) (+ (log (cbrt (sin (expm1 a)))) (log (cbrt (sin (expm1 a))))) (log (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (exp (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (sin (expm1 a)) (sin (expm1 a))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (* (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (sqrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 1 1) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* (sqrt (cbrt (sin (expm1 a)))) (sqrt (cbrt (sin (expm1 a))))) (* 2 1/3) (* 2 1) (* (cbrt (sin (expm1 a))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) (cbrt 1)) (* (cbrt (sin (expm1 a))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a)))))) (* (cbrt (sin (expm1 a))) (sqrt (cbrt (sin (expm1 a))))) (* (cbrt (sin (expm1 a))) 1) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (sqrt (cbrt (sin (expm1 a)))) (cbrt (sin (expm1 a)))) (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))) (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) (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) 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) 1.484 * [simplify]: Sending expressions to egg_math: (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0))))) (atan h0)) h0)) (expm1 (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (log1p (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (+ 1/3 1/3) (+ 1 1) (* (sin (expm1 h0)) (sin (expm1 h0))) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (+ 1 1) (+ (log (cbrt (sin (expm1 h0)))) (log (cbrt (sin (expm1 h0))))) (log (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (exp (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (* (sin (expm1 h0)) (sin (expm1 h0))) (* (cbrt (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (cbrt (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))))) (cbrt (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (* (* (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (sqrt (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (sqrt (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (* (cbrt (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0))))) (cbrt (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))))) (* (cbrt (cbrt (sin (expm1 h0)))) (cbrt (cbrt (sin (expm1 h0))))) (* (cbrt (sqrt (sin (expm1 h0)))) (cbrt (sqrt (sin (expm1 h0))))) (* (cbrt (sqrt (sin (expm1 h0)))) (cbrt (sqrt (sin (expm1 h0))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (* (* (cbrt (cbrt (sin (expm1 h0)))) (cbrt (cbrt (sin (expm1 h0))))) (* (cbrt (cbrt (sin (expm1 h0)))) (cbrt (cbrt (sin (expm1 h0)))))) (* (cbrt (cbrt (sin (expm1 h0)))) (cbrt (cbrt (sin (expm1 h0))))) (* (sqrt (cbrt (sin (expm1 h0)))) (sqrt (cbrt (sin (expm1 h0))))) (* (sqrt (cbrt (sin (expm1 h0)))) (sqrt (cbrt (sin (expm1 h0))))) (* 1 1) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (* (cbrt (sqrt (sin (expm1 h0)))) (cbrt (sqrt (sin (expm1 h0))))) (* (cbrt (sqrt (sin (expm1 h0)))) (cbrt (sqrt (sin (expm1 h0))))) (* (cbrt (sqrt (sin (expm1 h0)))) (sqrt (cbrt (sin (expm1 h0))))) (* (cbrt (sqrt (sin (expm1 h0)))) (sqrt (cbrt (sin (expm1 h0))))) (* (sqrt (cbrt (sin (expm1 h0)))) (cbrt (sqrt (sin (expm1 h0))))) (* (sqrt (cbrt (sin (expm1 h0)))) (cbrt (sqrt (sin (expm1 h0))))) (* (sqrt (cbrt (sin (expm1 h0)))) (sqrt (cbrt (sin (expm1 h0))))) (* (sqrt (cbrt (sin (expm1 h0)))) (sqrt (cbrt (sin (expm1 h0))))) (* 2 1/3) (* 2 1) (* (cbrt (sin (expm1 h0))) (cbrt (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))))) (* (cbrt (sin (expm1 h0))) (cbrt (sqrt (sin (expm1 h0))))) (* (cbrt (sin (expm1 h0))) (cbrt 1)) (* (cbrt (sin (expm1 h0))) (* (cbrt (cbrt (sin (expm1 h0)))) (cbrt (cbrt (sin (expm1 h0)))))) (* (cbrt (sin (expm1 h0))) (sqrt (cbrt (sin (expm1 h0))))) (* (cbrt (sin (expm1 h0))) 1) (* (cbrt (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0)))) (* (cbrt (sqrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0)))) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (* (cbrt (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0)))) (* (sqrt (cbrt (sin (expm1 h0)))) (cbrt (sin (expm1 h0)))) (* (cbrt (sin (expm1 h0))) (cbrt (sin (expm1 h0)))) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (- (+ (pow h0 2/3) (* 1/3 (pow (pow h0 5) 1/3))) (* 1/36 (pow (pow h0 8) 1/3))) (pow (pow (sin (- (exp h0) 1)) 2) 1/3) (pow (pow (sin (- (exp h0) 1)) 2) 1/3) 1.488 * * [simplify]: iteration 0 : 151 enodes (cost 788 ) 1.492 * * [simplify]: iteration 1 : 447 enodes (cost 697 ) 1.503 * * [simplify]: iteration 2 : 1900 enodes (cost 571 ) 1.547 * * [simplify]: iteration 3 : 5001 enodes (cost 561 ) 1.549 * [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 (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 (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 (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (log1p (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) 2/3 2 (pow (sin (expm1 a)) 2) (pow (pow (sin (expm1 a)) 2) 1/3) 2 (* 2 (log (cbrt (sin (expm1 a))))) (* 2 (log (cbrt (sin (expm1 a))))) (pow (exp 1) (pow (sqrt (cbrt (sin (expm1 a)))) 4)) (pow (sin (expm1 a)) 2) (* (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))))) (pow (sin (expm1 a)) 2) (fabs (cbrt (sin (expm1 a)))) (fabs (cbrt (sin (expm1 a)))) (* (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a))))) (cbrt (* (cbrt (sin (expm1 a))) (cbrt (sin (expm1 a)))))) (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) (* (cbrt (sqrt (sin (expm1 a)))) (cbrt (sqrt (sin (expm1 a))))) 1 (pow (pow (sin (expm1 a)) 2) 1/3) (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 (pow (sin (expm1 a)) 2) 1/3) (* (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)))) 5) (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 (pow (sin (expm1 a)) 2) 1/3) (pow (cbrt (cbrt (sin (expm1 a)))) 4) (pow (sqrt (cbrt (sin (expm1 a)))) 3) (pow (pow (sin (expm1 a)) 2) 1/3) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (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) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) 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) 1.550 * * * [progress]: adding candidates to table 1.913 * * [progress]: iteration 4 / 4 1.913 * * * [progress]: picking best candidate 2.044 * * * * [pick]: Picked # 2.044 * * * [progress]: localizing error 2.082 * * * [progress]: generating rewritten candidates 2.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.082 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2 1) 2.083 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 1) 2.083 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 2.084 * * * [progress]: generating series expansions 2.084 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.084 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.084 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.084 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.085 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.085 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.085 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.085 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.085 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.085 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.086 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2 1) 2.086 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.086 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.086 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.087 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.087 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.087 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.087 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.087 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.088 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.088 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 1) 2.088 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.088 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.088 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.089 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.089 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.089 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.090 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.090 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.090 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.090 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1) 2.090 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in (a) around 0 2.090 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.090 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) in a 2.091 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in (a) around 0 2.091 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.091 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ 1 a)))) (atan (/ 1 a))) (/ 1 a)) in a 2.092 * [approximate]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in (a) around 0 2.092 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.092 * [taylor]: Taking taylor expansion of (fmod (atan2 (expm1 (sin (expm1 (/ -1 a)))) (atan (/ -1 a))) (/ -1 a)) in a 2.093 * * * [progress]: simplifying candidates 2.093 * [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 (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 (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 (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)) (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) (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) (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) 2.093 * [simplify]: Sending expressions to egg_math: (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (expm1 (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log1p (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (log (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (exp (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0))) (cbrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (* (* (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (sqrt (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0)) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) (fmod (atan2 (expm1 (sin (expm1 h0))) (atan h0)) h0) 2.096 * * [simplify]: iteration 0 : 17 enodes (cost 408 ) 2.097 * * [simplify]: iteration 1 : 19 enodes (cost 356 ) 2.099 * * [simplify]: iteration 2 : 23 enodes (cost 356 ) 2.100 * * [simplify]: iteration 3 : 28 enodes (cost 356 ) 2.101 * * [simplify]: iteration 4 : 47 enodes (cost 356 ) 2.103 * * [simplify]: iteration 5 : 101 enodes (cost 356 ) 2.107 * * [simplify]: iteration 6 : 507 enodes (cost 356 ) 2.121 * * [simplify]: iteration 7 : 1681 enodes (cost 356 ) 2.185 * * [simplify]: iteration 8 : 5001 enodes (cost 356 ) 2.187 * [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 (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 (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 (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)) (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) (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) (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) 2.187 * * * [progress]: adding candidates to table 2.456 * [progress]: [Phase 3 of 3] Extracting. 2.457 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # #) 2.473 * * * [regime-changes]: Trying 2 branch expressions: ((fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) a) 2.474 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # # # # # # # # # # # # # # # # # # # # # # # # #) 2.637 * * * * [regimes]: Trying to branch on (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a) from (# # #) 2.678 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # # # # # # # # # # #) 2.825 * * * [regime]: Found split indices: #