105.844 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying: (/ a (- (acos a))) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.052 * * [simplify]: Extracting # 1 : cost 0 0.052 * * [simplify]: Extracting # 2 : cost 0 0.052 * * [simplify]: Extracting # 3 : cost 0 0.052 * * [simplify]: Extracting # 4 : cost 0 0.052 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.053 * [simplify]: Simplified to: (/ a (- (acos a))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.089 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.089 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.089 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.089 * [taylor]: Taking taylor expansion of -1 in a 0.089 * [backup-simplify]: Simplify -1 into -1 0.089 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.089 * [taylor]: Taking taylor expansion of a in a 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (acos a) in a 0.089 * [backup-simplify]: Simplify (acos a) into (acos a) 0.089 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.089 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.089 * [taylor]: Taking taylor expansion of -1 in a 0.089 * [backup-simplify]: Simplify -1 into -1 0.089 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.089 * [taylor]: Taking taylor expansion of a in a 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of (acos a) in a 0.090 * [backup-simplify]: Simplify (acos a) into (acos a) 0.090 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.090 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.090 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.090 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.091 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.096 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.102 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.102 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.102 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.102 * [taylor]: Taking taylor expansion of -1 in a 0.102 * [backup-simplify]: Simplify -1 into -1 0.102 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.102 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.103 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.103 * [taylor]: Taking taylor expansion of a in a 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.103 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.103 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.103 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.103 * [taylor]: Taking taylor expansion of -1 in a 0.103 * [backup-simplify]: Simplify -1 into -1 0.103 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.104 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.104 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.104 * [taylor]: Taking taylor expansion of a in a 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.104 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.104 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.105 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.105 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.116 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.116 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.117 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.117 * [taylor]: Taking taylor expansion of a in a 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.117 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.117 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.118 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.118 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.118 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.118 * [taylor]: Taking taylor expansion of a in a 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.118 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.118 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.119 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.119 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.134 * * * [progress]: simplifying candidates 0.135 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.138 * * [simplify]: Extracting # 0 : cost 0 0.138 * * [simplify]: Extracting # 1 : cost 0 0.138 * * [simplify]: Extracting # 2 : cost 0 0.139 * * [simplify]: Extracting # 3 : cost 0 0.139 * * [simplify]: Extracting # 4 : cost 0 0.139 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.181 * * [simplify]: Extracting # 0 : cost 0 0.182 * * [simplify]: Extracting # 1 : cost 0 0.182 * * [simplify]: Extracting # 2 : cost 0 0.183 * * [simplify]: Extracting # 3 : cost 0 0.193 * * [simplify]: iteration 1 : 173 enodes (cost 581 ) 0.260 * * [simplify]: Extracting # 0 : cost 0 0.261 * * [simplify]: Extracting # 1 : cost 0 0.262 * * [simplify]: Extracting # 2 : cost 0 0.263 * * [simplify]: Extracting # 3 : cost 0 0.264 * * [simplify]: iteration 2 : 463 enodes (cost 563 ) 0.629 * * [simplify]: Extracting # 0 : cost 0 0.635 * * [simplify]: Extracting # 1 : cost 0 0.640 * * [simplify]: Extracting # 2 : cost 0 0.644 * * [simplify]: Extracting # 3 : cost 0 0.649 * * [simplify]: Extracting # 4 : cost 0 0.654 * * [simplify]: iteration 3 : 2074 enodes (cost 563 ) 1.892 * * [simplify]: Extracting # 0 : cost 0 1.921 * * [simplify]: Extracting # 1 : cost 0 1.930 * * [simplify]: Extracting # 2 : cost 0 1.940 * * [simplify]: Extracting # 3 : cost 0 1.948 * * [simplify]: Extracting # 4 : cost 0 1.957 * * [simplify]: Extracting # 5 : cost 0 1.966 * * [simplify]: iteration done: 5000 enodes (cost 563 ) 1.967 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 1.967 * * * [progress]: adding candidates to table 2.225 * * [progress]: iteration 2 / 4 2.225 * * * [progress]: picking best candidate 2.274 * * * * [pick]: Picked # 2.274 * * * [progress]: localizing error 2.289 * * * [progress]: generating rewritten candidates 2.289 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.315 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.347 * * * [progress]: generating series expansions 2.347 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.348 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 2.348 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.348 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.348 * [taylor]: Taking taylor expansion of -1 in a 2.348 * [backup-simplify]: Simplify -1 into -1 2.348 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.348 * [taylor]: Taking taylor expansion of a in a 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (acos a) in a 2.348 * [backup-simplify]: Simplify (acos a) into (acos a) 2.348 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.348 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.348 * [taylor]: Taking taylor expansion of -1 in a 2.348 * [backup-simplify]: Simplify -1 into -1 2.348 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.348 * [taylor]: Taking taylor expansion of a in a 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (acos a) in a 2.348 * [backup-simplify]: Simplify (acos a) into (acos a) 2.348 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.349 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.349 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.349 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.350 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.356 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.359 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.360 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 2.360 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.360 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.360 * [taylor]: Taking taylor expansion of -1 in a 2.360 * [backup-simplify]: Simplify -1 into -1 2.360 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.360 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.360 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.360 * [taylor]: Taking taylor expansion of a in a 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 2.360 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 2.361 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.361 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.361 * [taylor]: Taking taylor expansion of -1 in a 2.361 * [backup-simplify]: Simplify -1 into -1 2.361 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.361 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.361 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.361 * [taylor]: Taking taylor expansion of a in a 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 2.361 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 2.361 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.362 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.362 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 2.363 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.365 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.367 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.369 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.371 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.371 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.371 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.371 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.371 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.371 * [taylor]: Taking taylor expansion of a in a 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.371 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.371 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.372 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.372 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.372 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.372 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.372 * [taylor]: Taking taylor expansion of a in a 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.372 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.372 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.373 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.373 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.393 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.394 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 2.394 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.394 * [taylor]: Taking taylor expansion of -1 in a 2.394 * [backup-simplify]: Simplify -1 into -1 2.394 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.394 * [taylor]: Taking taylor expansion of (acos a) in a 2.394 * [backup-simplify]: Simplify (acos a) into (acos a) 2.394 * [taylor]: Taking taylor expansion of a in a 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.394 * [taylor]: Taking taylor expansion of -1 in a 2.394 * [backup-simplify]: Simplify -1 into -1 2.394 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.394 * [taylor]: Taking taylor expansion of (acos a) in a 2.394 * [backup-simplify]: Simplify (acos a) into (acos a) 2.394 * [taylor]: Taking taylor expansion of a in a 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.394 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.395 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.396 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.414 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 2.414 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.414 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 2.414 * [taylor]: Taking taylor expansion of -1 in a 2.414 * [backup-simplify]: Simplify -1 into -1 2.414 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.414 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.414 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.414 * [taylor]: Taking taylor expansion of a in a 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.414 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 2.414 * [taylor]: Taking taylor expansion of -1 in a 2.414 * [backup-simplify]: Simplify -1 into -1 2.414 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.414 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.414 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.414 * [taylor]: Taking taylor expansion of a in a 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.414 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 2.415 * [backup-simplify]: Simplify (* -1 0) into 0 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 2.416 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 2.416 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 2.416 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 2.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 2.417 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.421 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 2.424 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.431 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.431 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.431 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.431 * [taylor]: Taking taylor expansion of a in a 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.431 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.431 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.431 * [taylor]: Taking taylor expansion of a in a 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.432 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.432 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.432 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 2.442 * * * [progress]: simplifying candidates 2.448 * [simplify]: Simplifying: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) 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1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (- (acos 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(/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 2.456 * * [simplify]: Extracting # 0 : cost 0 2.457 * * [simplify]: Extracting # 1 : cost 0 2.458 * * [simplify]: Extracting # 2 : cost 0 2.459 * * [simplify]: Extracting # 3 : cost 0 2.459 * * [simplify]: Extracting # 4 : cost 0 2.460 * * [simplify]: Extracting # 5 : cost 0 2.461 * * [simplify]: iteration 0 : 292 enodes (cost 3194 ) 2.749 * * [simplify]: Extracting # 0 : cost 0 2.752 * * [simplify]: Extracting # 1 : cost 0 2.753 * * [simplify]: Extracting # 2 : cost 0 2.754 * * [simplify]: Extracting # 3 : cost 0 2.755 * * [simplify]: iteration 1 : 790 enodes (cost 2648 ) 3.329 * * [simplify]: Extracting # 0 : cost 0 3.337 * * [simplify]: Extracting # 1 : cost 0 3.344 * * [simplify]: Extracting # 2 : cost 0 3.351 * * [simplify]: Extracting # 3 : cost 0 3.358 * * [simplify]: Extracting # 4 : cost 0 3.366 * * [simplify]: iteration 2 : 3997 enodes (cost 2582 ) 4.873 * * [simplify]: Extracting # 0 : cost 0 4.886 * * [simplify]: Extracting # 1 : cost 0 4.897 * * [simplify]: Extracting # 2 : cost 0 4.915 * * [simplify]: iteration done: 5000 enodes (cost 2578 ) 4.918 * [simplify]: Simplified to: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) -1 (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ 1 (pow (/ (- (acos a)) a) 3)) (/ 1 (pow (/ (- (acos a)) a) 3)) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (pow (* (/ 1 (- (acos a))) a) 3) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) -1 (/ (acos a) a) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (/ 1 (/ (sqrt (- (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (/ 1 (/ (sqrt (- (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (/ 1 (/ (sqrt (- (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (- (acos a))) a (* (/ 1 (- (acos a))) a) (/ (- (acos a)) a) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (/ (cbrt (- (acos a))) (/ (* (cbrt a) (cbrt a)) (cbrt (- (acos a))))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (/ (sqrt (- (acos a))) (cbrt a)) (cbrt a)) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (- (cbrt (acos a))) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (/ (- (sqrt (acos a))) (cbrt a)) (cbrt a)) (/ (sqrt (acos a)) (cbrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (- (cbrt (acos a))) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) 4.921 * * * [progress]: adding candidates to table 5.695 * * [progress]: iteration 3 / 4 5.695 * * * [progress]: picking best candidate 5.762 * * * * [pick]: Picked # 5.762 * * * [progress]: localizing error 5.783 * * * [progress]: generating rewritten candidates 5.783 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.827 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.875 * * * [progress]: generating series expansions 5.875 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 5.875 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 5.875 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 5.875 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 5.875 * [taylor]: Taking taylor expansion of -1 in a 5.875 * [backup-simplify]: Simplify -1 into -1 5.875 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.875 * [taylor]: Taking taylor expansion of (acos a) in a 5.876 * [backup-simplify]: Simplify (acos a) into (acos a) 5.876 * [taylor]: Taking taylor expansion of a in a 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.876 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 5.876 * [taylor]: Taking taylor expansion of -1 in a 5.876 * [backup-simplify]: Simplify -1 into -1 5.876 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.876 * [taylor]: Taking taylor expansion of (acos a) in a 5.876 * [backup-simplify]: Simplify (acos a) into (acos a) 5.876 * [taylor]: Taking taylor expansion of a in a 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.876 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 5.876 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 5.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 5.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 5.881 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.884 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.893 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 5.893 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 5.899 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* (acos (/ 1 a)) a)) 5.899 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.899 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 5.899 * [taylor]: Taking taylor expansion of -1 in a 5.899 * [backup-simplify]: Simplify -1 into -1 5.899 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.899 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.899 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.899 * [taylor]: Taking taylor expansion of a in a 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 5.899 * [taylor]: Taking taylor expansion of -1 in a 5.899 * [backup-simplify]: Simplify -1 into -1 5.899 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.899 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.899 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.899 * [taylor]: Taking taylor expansion of a in a 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.900 * [backup-simplify]: Simplify (* -1 0) into 0 5.900 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.901 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 5.902 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 5.902 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 5.903 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 5.905 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 5.908 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 5.915 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 5.919 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 5.920 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 5.920 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 5.920 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.920 * [taylor]: Taking taylor expansion of a in a 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.920 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.920 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.920 * [taylor]: Taking taylor expansion of a in a 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.920 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.921 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.921 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.932 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.935 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.937 * [backup-simplify]: Simplify 0 into 0 5.938 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 5.938 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.938 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 5.938 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.938 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.938 * [taylor]: Taking taylor expansion of -1 in a 5.938 * [backup-simplify]: Simplify -1 into -1 5.938 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.938 * [taylor]: Taking taylor expansion of a in a 5.938 * [backup-simplify]: Simplify 0 into 0 5.938 * [backup-simplify]: Simplify 1 into 1 5.938 * [taylor]: Taking taylor expansion of (acos a) in a 5.938 * [backup-simplify]: Simplify (acos a) into (acos a) 5.938 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.938 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.939 * [taylor]: Taking taylor expansion of -1 in a 5.939 * [backup-simplify]: Simplify -1 into -1 5.939 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.939 * [taylor]: Taking taylor expansion of a in a 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 1 into 1 5.939 * [taylor]: Taking taylor expansion of (acos a) in a 5.939 * [backup-simplify]: Simplify (acos a) into (acos a) 5.939 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.939 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.939 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.940 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.940 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.943 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.943 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.951 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 5.951 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.951 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.951 * [taylor]: Taking taylor expansion of -1 in a 5.951 * [backup-simplify]: Simplify -1 into -1 5.951 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.951 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.951 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.952 * [taylor]: Taking taylor expansion of a in a 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.952 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.952 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.952 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.952 * [taylor]: Taking taylor expansion of -1 in a 5.953 * [backup-simplify]: Simplify -1 into -1 5.953 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.953 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.953 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.953 * [taylor]: Taking taylor expansion of a in a 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 1 into 1 5.953 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.953 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.954 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.954 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.955 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.955 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.956 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.958 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.958 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.958 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.960 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.960 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.962 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.965 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.965 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 5.965 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.965 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.965 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.965 * [taylor]: Taking taylor expansion of a in a 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.966 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.966 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.966 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.966 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.966 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.966 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.966 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.967 * [taylor]: Taking taylor expansion of a in a 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify 1 into 1 5.967 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.967 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.967 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.967 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.967 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.968 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.971 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.976 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.980 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.984 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.984 * * * [progress]: simplifying candidates 5.987 * [simplify]: Simplifying: (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) (- (log 1) (log a)))) (- (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (* (- (acos a)) (/ 1 a)))) (- 0 (+ (log (- (acos a))) (- (log a)))) (- 0 (+ (log (- (acos a))) (- 0 (log a)))) (- 0 (+ (log (- (acos a))) (- (log 1) (log a)))) (- 0 (+ (log (- (acos a))) (log (/ 1 a)))) (- 0 (log (* (- (acos a)) (/ 1 a)))) (- (log 1) (+ (log (- (acos a))) (- (log a)))) (- (log 1) (+ (log (- (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 5.991 * * [simplify]: Extracting # 0 : cost 0 5.991 * * [simplify]: Extracting # 1 : cost 0 5.991 * * [simplify]: Extracting # 2 : cost 0 5.992 * * [simplify]: Extracting # 3 : cost 0 5.992 * * [simplify]: Extracting # 4 : cost 0 5.993 * * [simplify]: Extracting # 5 : cost 0 5.993 * * [simplify]: Extracting # 6 : cost 0 5.993 * * [simplify]: Extracting # 7 : cost 0 5.994 * * [simplify]: iteration 0 : 129 enodes (cost 968 ) 6.082 * * [simplify]: Extracting # 0 : cost 0 6.084 * * [simplify]: Extracting # 1 : cost 0 6.084 * * [simplify]: Extracting # 2 : cost 0 6.085 * * [simplify]: Extracting # 3 : cost 0 6.086 * * [simplify]: iteration 1 : 383 enodes (cost 723 ) 6.442 * * [simplify]: Extracting # 0 : cost 0 6.449 * * [simplify]: Extracting # 1 : cost 0 6.454 * * [simplify]: Extracting # 2 : cost 0 6.459 * * [simplify]: Extracting # 3 : cost 0 6.464 * * [simplify]: Extracting # 4 : cost 0 6.469 * * [simplify]: Extracting # 5 : cost 0 6.474 * * [simplify]: iteration 2 : 2410 enodes (cost 605 ) 10.002 * * [simplify]: Extracting # 0 : cost 0 10.031 * * [simplify]: Extracting # 1 : cost 0 10.047 * * [simplify]: Extracting # 2 : cost 0 10.059 * * [simplify]: Extracting # 3 : cost 0 10.070 * * [simplify]: iteration done: 5000 enodes (cost 601 ) 10.071 * [simplify]: Simplified to: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (/ (acos a) a)) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (exp (/ (- (acos a)) a)) (pow (- (/ (acos a) a)) 3) (pow (- (/ (acos a) a)) 3) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (pow (- (/ (acos a) a)) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (acos a) a) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (- (acos a)) (- (acos a)) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (- (/ (acos a) a)) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (/ (- (cbrt (acos a))) a) (- (/ (sqrt (acos a)) a)) (- (/ (acos a) a)) (- (acos a)) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) -1 -1 (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ 1 (pow (- (/ (acos a) a)) 3)) (/ 1 (pow (- (/ (acos a) a)) 3)) (/ 1 (pow (- (/ (acos a) a)) 3)) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (/ 1 (pow (- (/ (acos a) a)) 3)) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) -1 (/ (acos a) a) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (/ (- (acos a)) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 10.072 * * * [progress]: adding candidates to table 10.405 * * [progress]: iteration 4 / 4 10.405 * * * [progress]: picking best candidate 10.473 * * * * [pick]: Picked # 10.474 * * * [progress]: localizing error 10.494 * * * [progress]: generating rewritten candidates 10.494 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 10.556 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 10.671 * * * [progress]: generating series expansions 10.671 * * * * [progress]: [ 1 / 2 ] generating series at (2) 10.671 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 10.671 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 10.671 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.671 * [taylor]: Taking taylor expansion of -1 in a 10.671 * [backup-simplify]: Simplify -1 into -1 10.671 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.671 * [taylor]: Taking taylor expansion of a in a 10.672 * [backup-simplify]: Simplify 0 into 0 10.672 * [backup-simplify]: Simplify 1 into 1 10.672 * [taylor]: Taking taylor expansion of (acos a) in a 10.672 * [backup-simplify]: Simplify (acos a) into (acos a) 10.672 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.672 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.672 * [taylor]: Taking taylor expansion of -1 in a 10.672 * [backup-simplify]: Simplify -1 into -1 10.672 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.672 * [taylor]: Taking taylor expansion of a in a 10.672 * [backup-simplify]: Simplify 0 into 0 10.672 * [backup-simplify]: Simplify 1 into 1 10.672 * [taylor]: Taking taylor expansion of (acos a) in a 10.672 * [backup-simplify]: Simplify (acos a) into (acos a) 10.672 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.672 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 10.673 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.673 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 10.674 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.675 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 10.675 * [backup-simplify]: Simplify 0 into 0 10.676 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.677 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 10.677 * [backup-simplify]: Simplify 0 into 0 10.678 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.679 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 10.679 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 10.682 * [backup-simplify]: Simplify 0 into 0 10.682 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 10.685 * [backup-simplify]: Simplify 0 into 0 10.685 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 10.685 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 10.685 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 10.685 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 10.685 * [taylor]: Taking taylor expansion of -1 in a 10.685 * [backup-simplify]: Simplify -1 into -1 10.685 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.685 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.686 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.686 * [taylor]: Taking taylor expansion of a in a 10.686 * [backup-simplify]: Simplify 0 into 0 10.686 * [backup-simplify]: Simplify 1 into 1 10.686 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.686 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.686 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.686 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 10.686 * [taylor]: Taking taylor expansion of -1 in a 10.687 * [backup-simplify]: Simplify -1 into -1 10.687 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.687 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.687 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.687 * [taylor]: Taking taylor expansion of a in a 10.687 * [backup-simplify]: Simplify 0 into 0 10.687 * [backup-simplify]: Simplify 1 into 1 10.687 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.687 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.687 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.688 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.689 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 10.689 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.689 * [backup-simplify]: Simplify 0 into 0 10.690 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.690 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.690 * [backup-simplify]: Simplify 0 into 0 10.691 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.692 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.692 * [backup-simplify]: Simplify 0 into 0 10.693 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.694 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.694 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.696 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.696 * [backup-simplify]: Simplify 0 into 0 10.698 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 10.698 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.698 * [backup-simplify]: Simplify 0 into 0 10.699 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 10.699 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 10.699 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 10.699 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.699 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.699 * [taylor]: Taking taylor expansion of a in a 10.699 * [backup-simplify]: Simplify 0 into 0 10.699 * [backup-simplify]: Simplify 1 into 1 10.699 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.699 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.699 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.700 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.700 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.700 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.700 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.700 * [taylor]: Taking taylor expansion of a in a 10.700 * [backup-simplify]: Simplify 0 into 0 10.700 * [backup-simplify]: Simplify 1 into 1 10.700 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.700 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.700 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.701 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.701 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 10.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.702 * [backup-simplify]: Simplify 0 into 0 10.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 10.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.704 * [backup-simplify]: Simplify 0 into 0 10.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 10.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.706 * [backup-simplify]: Simplify 0 into 0 10.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 10.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.709 * [backup-simplify]: Simplify 0 into 0 10.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 10.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.723 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 10.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 10.727 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 10.727 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 10.727 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 10.727 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 10.727 * [taylor]: Taking taylor expansion of -1 in a 10.727 * [backup-simplify]: Simplify -1 into -1 10.727 * [taylor]: Taking taylor expansion of (acos a) in a 10.727 * [backup-simplify]: Simplify (acos a) into (acos a) 10.728 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.728 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 10.728 * [taylor]: Taking taylor expansion of -1 in a 10.728 * [backup-simplify]: Simplify -1 into -1 10.728 * [taylor]: Taking taylor expansion of (acos a) in a 10.728 * [backup-simplify]: Simplify (acos a) into (acos a) 10.728 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.728 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.728 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 10.728 * [backup-simplify]: Simplify 0 into 0 10.729 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.729 * [backup-simplify]: Simplify 0 into 0 10.729 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.729 * [backup-simplify]: Simplify 0 into 0 10.730 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.730 * [backup-simplify]: Simplify 0 into 0 10.730 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.730 * [backup-simplify]: Simplify 0 into 0 10.731 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.731 * [backup-simplify]: Simplify 0 into 0 10.731 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.731 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 10.731 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 10.731 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 10.731 * [taylor]: Taking taylor expansion of -1 in a 10.731 * [backup-simplify]: Simplify -1 into -1 10.731 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.731 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.732 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.732 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 10.732 * [taylor]: Taking taylor expansion of -1 in a 10.732 * [backup-simplify]: Simplify -1 into -1 10.732 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.732 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.732 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.732 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.732 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.733 * [backup-simplify]: Simplify 0 into 0 10.733 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.733 * [backup-simplify]: Simplify 0 into 0 10.733 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.734 * [backup-simplify]: Simplify 0 into 0 10.734 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.734 * [backup-simplify]: Simplify 0 into 0 10.735 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.735 * [backup-simplify]: Simplify 0 into 0 10.736 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.736 * [backup-simplify]: Simplify 0 into 0 10.736 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 10.736 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 10.736 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 10.736 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 10.736 * [taylor]: Taking taylor expansion of -1 in a 10.736 * [backup-simplify]: Simplify -1 into -1 10.736 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.736 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.736 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.736 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 10.737 * [taylor]: Taking taylor expansion of -1 in a 10.737 * [backup-simplify]: Simplify -1 into -1 10.737 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.737 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.737 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.737 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.737 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.737 * [backup-simplify]: Simplify 0 into 0 10.738 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.738 * [backup-simplify]: Simplify 0 into 0 10.738 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.738 * [backup-simplify]: Simplify 0 into 0 10.739 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.739 * [backup-simplify]: Simplify 0 into 0 10.740 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.740 * [backup-simplify]: Simplify 0 into 0 10.741 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.741 * [backup-simplify]: Simplify 0 into 0 10.741 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 10.741 * * * [progress]: simplifying candidates 10.764 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- 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(acos a))) (- (acos a)) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 14.108 * * * [progress]: adding candidates to table 14.994 * [progress]: [Phase 3 of 3] Extracting. 14.994 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 14.996 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 14.996 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # #) 15.083 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 15.169 * * * [regime]: Found split indices: #