0.824 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.384 * * * [progress]: [2/2] Setting up program. 1.389 * [progress]: [Phase 2 of 3] Improving. 1.394 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.399 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.401 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.402 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.404 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.406 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.412 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.441 * * [simplify]: iteration 6 : 5001 enodes (cost 6 ) 1.442 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.444 * * [progress]: iteration 1 / 4 1.444 * * * [progress]: picking best candidate 1.447 * * * * [pick]: Picked # 1.447 * * * [progress]: localizing error 1.459 * * * [progress]: generating rewritten candidates 1.459 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.460 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.462 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 1.465 * * * [progress]: generating series expansions 1.465 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.469 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.469 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.471 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.472 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.472 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.472 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.473 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.473 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.474 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.474 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.474 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.474 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.474 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.475 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.475 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.475 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.476 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.476 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.476 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.477 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 1.477 * [approximate]: Taking taylor expansion of (cosh a) in (a) around 0 1.477 * [taylor]: Taking taylor expansion of (cosh a) in a 1.477 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.477 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.477 * [taylor]: Taking taylor expansion of (exp a) in a 1.477 * [taylor]: Taking taylor expansion of a in a 1.477 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.477 * [taylor]: Taking taylor expansion of (- a) in a 1.477 * [taylor]: Taking taylor expansion of a in a 1.478 * [taylor]: Taking taylor expansion of 2 in a 1.479 * [taylor]: Taking taylor expansion of (cosh a) in a 1.479 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.479 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.480 * [taylor]: Taking taylor expansion of (exp a) in a 1.480 * [taylor]: Taking taylor expansion of a in a 1.480 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.480 * [taylor]: Taking taylor expansion of (- a) in a 1.480 * [taylor]: Taking taylor expansion of a in a 1.480 * [taylor]: Taking taylor expansion of 2 in a 1.499 * [approximate]: Taking taylor expansion of (cosh (/ 1 a)) in (a) around 0 1.499 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.499 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.499 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.499 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.499 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.499 * [taylor]: Taking taylor expansion of a in a 1.500 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.500 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.500 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.500 * [taylor]: Taking taylor expansion of a in a 1.501 * [taylor]: Taking taylor expansion of 2 in a 1.501 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.501 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.501 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.501 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.501 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.501 * [taylor]: Taking taylor expansion of a in a 1.501 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.501 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.501 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.501 * [taylor]: Taking taylor expansion of a in a 1.503 * [taylor]: Taking taylor expansion of 2 in a 1.513 * [approximate]: Taking taylor expansion of (cosh (/ -1 a)) in (a) around 0 1.513 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.514 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.514 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.514 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.514 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.514 * [taylor]: Taking taylor expansion of -1 in a 1.514 * [taylor]: Taking taylor expansion of a in a 1.514 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.514 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.514 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.514 * [taylor]: Taking taylor expansion of -1 in a 1.514 * [taylor]: Taking taylor expansion of a in a 1.515 * [taylor]: Taking taylor expansion of 2 in a 1.515 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.515 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.515 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 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 (exp (- (/ -1 a))) in a 1.515 * [taylor]: Taking taylor expansion of (- (/ -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 1.516 * [taylor]: Taking taylor expansion of 2 in a 1.526 * * * [progress]: simplifying candidates 1.527 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (* (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (+ (exp a) (exp (- a))) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (* (* (cosh a) (cosh a)) (cosh a)) (sqrt (cosh a)) (sqrt (cosh a)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (* 1/2 (+ (exp (- a)) (exp a))) (* 1/2 (+ (exp (* -1 a)) (exp a))) 1.530 * * [simplify]: iteration 0 : 96 enodes (cost 184 ) 1.532 * * [simplify]: iteration 1 : 202 enodes (cost 161 ) 1.536 * * [simplify]: iteration 2 : 643 enodes (cost 153 ) 1.555 * * [simplify]: iteration 3 : 4010 enodes (cost 151 ) 1.685 * * [simplify]: iteration 4 : 5001 enodes (cost 151 ) 1.687 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cosh a) 2) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (pow (cosh a) 3) (sqrt (cosh a)) (sqrt (cosh a)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (cosh a) (cosh a) 1.687 * * * [progress]: adding candidates to table 1.781 * * [progress]: iteration 2 / 4 1.781 * * * [progress]: picking best candidate 1.800 * * * * [pick]: Picked # 1.800 * * * [progress]: localizing error 1.812 * * * [progress]: generating rewritten candidates 1.812 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.813 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.815 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 1.818 * * * [progress]: generating series expansions 1.818 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.818 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.818 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.819 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.819 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.819 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.819 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.820 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.820 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.820 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.820 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.821 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.821 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.821 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.821 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.821 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.821 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.822 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.822 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.822 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.822 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.822 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.822 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.823 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.823 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.823 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.823 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.824 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.824 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.825 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.825 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.825 * [approximate]: Taking taylor expansion of (cosh a) in (a) around 0 1.825 * [taylor]: Taking taylor expansion of (cosh a) in a 1.825 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.825 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.825 * [taylor]: Taking taylor expansion of (exp a) in a 1.825 * [taylor]: Taking taylor expansion of a in a 1.825 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.825 * [taylor]: Taking taylor expansion of (- a) in a 1.825 * [taylor]: Taking taylor expansion of a in a 1.826 * [taylor]: Taking taylor expansion of 2 in a 1.827 * [taylor]: Taking taylor expansion of (cosh a) in a 1.827 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.827 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.827 * [taylor]: Taking taylor expansion of (exp a) in a 1.827 * [taylor]: Taking taylor expansion of a in a 1.827 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.827 * [taylor]: Taking taylor expansion of (- a) in a 1.827 * [taylor]: Taking taylor expansion of a in a 1.827 * [taylor]: Taking taylor expansion of 2 in a 1.845 * [approximate]: Taking taylor expansion of (cosh (/ 1 a)) in (a) around 0 1.845 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.845 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.845 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.845 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.845 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.845 * [taylor]: Taking taylor expansion of a in a 1.845 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.845 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.845 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.845 * [taylor]: Taking taylor expansion of a in a 1.846 * [taylor]: Taking taylor expansion of 2 in a 1.846 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.846 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.846 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.846 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.846 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.846 * [taylor]: Taking taylor expansion of a in a 1.847 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.847 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.847 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.847 * [taylor]: Taking taylor expansion of a in a 1.847 * [taylor]: Taking taylor expansion of 2 in a 1.858 * [approximate]: Taking taylor expansion of (cosh (/ -1 a)) in (a) around 0 1.858 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.858 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.858 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.858 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.858 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.858 * [taylor]: Taking taylor expansion of -1 in a 1.858 * [taylor]: Taking taylor expansion of a in a 1.858 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.858 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.858 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.858 * [taylor]: Taking taylor expansion of -1 in a 1.858 * [taylor]: Taking taylor expansion of a in a 1.859 * [taylor]: Taking taylor expansion of 2 in a 1.859 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.859 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.859 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.859 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.859 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.859 * [taylor]: Taking taylor expansion of -1 in a 1.859 * [taylor]: Taking taylor expansion of a in a 1.860 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.860 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.860 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.860 * [taylor]: Taking taylor expansion of -1 in a 1.860 * [taylor]: Taking taylor expansion of a in a 1.860 * [taylor]: Taking taylor expansion of 2 in a 1.873 * * * [progress]: simplifying candidates 1.874 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (* (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (+ (exp a) (exp (- a))) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (* (* (cosh a) (cosh a)) (cosh a)) (sqrt (cosh a)) (sqrt (cosh a)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (* 1/2 (+ (exp (- a)) (exp a))) (* 1/2 (+ (exp (* -1 a)) (exp a))) 1.877 * * [simplify]: iteration 0 : 122 enodes (cost 305 ) 1.880 * * [simplify]: iteration 1 : 234 enodes (cost 263 ) 1.883 * * [simplify]: iteration 2 : 716 enodes (cost 255 ) 1.904 * * [simplify]: iteration 3 : 4418 enodes (cost 253 ) 2.038 * * [simplify]: iteration 4 : 5001 enodes (cost 253 ) 2.039 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cosh a) 2) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (pow (cosh a) 3) (sqrt (cosh a)) (sqrt (cosh a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (cosh a) (cosh a) 2.040 * * * [progress]: adding candidates to table 2.172 * * [progress]: iteration 3 / 4 2.172 * * * [progress]: picking best candidate 2.196 * * * * [pick]: Picked # 2.196 * * * [progress]: localizing error 2.214 * * * [progress]: generating rewritten candidates 2.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1 1) 2.214 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 2.215 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 2.216 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 2.219 * * * [progress]: generating series expansions 2.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1 1) 2.219 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.219 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.219 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.219 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.219 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.220 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.220 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.220 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.220 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.221 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 1 1) 2.221 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.221 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.221 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.221 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.221 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.221 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.222 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.222 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.222 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.222 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1 1) 2.222 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.222 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.223 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.223 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.223 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.223 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.223 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.224 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.224 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.224 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 2.224 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.224 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.224 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.225 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.225 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.225 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.225 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.225 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.226 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.226 * * * [progress]: simplifying candidates 2.227 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.230 * * [simplify]: iteration 0 : 52 enodes (cost 246 ) 2.231 * * [simplify]: iteration 1 : 75 enodes (cost 212 ) 2.233 * * [simplify]: iteration 2 : 157 enodes (cost 212 ) 2.236 * * [simplify]: iteration 3 : 405 enodes (cost 212 ) 2.248 * * [simplify]: iteration 4 : 1946 enodes (cost 212 ) 2.307 * * [simplify]: iteration 5 : 5003 enodes (cost 212 ) 2.308 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) 2.309 * * * [progress]: adding candidates to table 2.491 * * [progress]: iteration 4 / 4 2.491 * * * [progress]: picking best candidate 2.510 * * * * [pick]: Picked # 2.510 * * * [progress]: localizing error 2.524 * * * [progress]: generating rewritten candidates 2.524 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1 1 1) 2.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1) 2.525 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.528 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.532 * * * [progress]: generating series expansions 2.532 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1 1 1) 2.532 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.532 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.532 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.533 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.533 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.533 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.533 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.534 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.534 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1) 2.534 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.534 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.534 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.535 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.535 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.535 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.535 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.535 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.535 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.536 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 2.536 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in (a) around 0 2.536 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in a 2.536 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh a) (pow a 2)))) in a 2.536 * [taylor]: Taking taylor expansion of (exp (fmod (cosh a) (pow a 2))) in a 2.536 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.537 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in a 2.538 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh a) (pow a 2)))) in a 2.538 * [taylor]: Taking taylor expansion of (exp (fmod (cosh a) (pow a 2))) in a 2.538 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.575 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in (a) around 0 2.575 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 2.575 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 2.575 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 2.575 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.576 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 2.576 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 2.576 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 2.576 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.611 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in (a) around 0 2.611 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 2.611 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 2.611 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 2.611 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.612 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 2.612 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 2.612 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 2.612 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.650 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.650 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in (a) around 0 2.650 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in a 2.650 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh a) (pow a 2)))) in a 2.650 * [taylor]: Taking taylor expansion of (exp (fmod (cosh a) (pow a 2))) in a 2.650 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.651 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in a 2.651 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh a) (pow a 2)))) in a 2.651 * [taylor]: Taking taylor expansion of (exp (fmod (cosh a) (pow a 2))) in a 2.651 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.684 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in (a) around 0 2.684 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 2.684 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 2.684 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 2.684 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.685 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 2.685 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 2.685 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 2.685 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.720 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in (a) around 0 2.720 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 2.720 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 2.720 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 2.720 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.722 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 2.722 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 2.722 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 2.722 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.758 * * * [progress]: simplifying candidates 2.759 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (sqrt (exp (fmod (cosh a) (* a a))))) (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))) (log (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))) (log (sqrt (cbrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt 1)) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log 1) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a)))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (sqrt (exp (fmod (cosh a) (* a a)))))) (exp (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a))))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* (* (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log (* (cbrt (sqrt (exp (fmod (cosh a) (* a a))))) (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))) (log (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))) (log (sqrt (cbrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt 1)) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log 1) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a)))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (sqrt (exp (fmod (cosh a) (* a a)))))) (exp (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a))))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* (* (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) 2.763 * * [simplify]: iteration 0 : 66 enodes (cost 488 ) 2.765 * * [simplify]: iteration 1 : 98 enodes (cost 434 ) 2.767 * * [simplify]: iteration 2 : 180 enodes (cost 434 ) 2.771 * * [simplify]: iteration 3 : 439 enodes (cost 430 ) 2.782 * * [simplify]: iteration 4 : 2003 enodes (cost 430 ) 2.841 * * [simplify]: iteration 5 : 5002 enodes (cost 430 ) 2.844 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (pow a 2))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (pow a 2))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))) (log (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))) (log (sqrt (cbrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) 0 (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) 0 (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (fmod (cosh a) (* a a)) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (exp (fmod (cosh a) (* a a)))) (* (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a))))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (pow (log (sqrt (exp (fmod (cosh a) (pow a 2))))) 3) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* 2 (log (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))) (log (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))) (log (sqrt (cbrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) 0 (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) 0 (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (fmod (cosh a) (* a a)) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (exp (fmod (cosh a) (* a a)))) (* (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a))))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (pow (log (sqrt (exp (fmod (cosh a) (pow a 2))))) 3) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) 2.844 * * * [progress]: adding candidates to table 3.068 * [progress]: [Phase 3 of 3] Extracting. 3.068 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.071 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 3.071 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # #) 3.120 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # #) 3.150 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # #) 3.200 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # #) 3.229 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 3.267 * * * [regime]: Found split indices: #