23.649 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (/ a (- (acos a))) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: Extracting # 3 : cost 0 0.040 * * [simplify]: Extracting # 4 : cost 0 0.040 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.041 * [simplify]: Simplified to: (/ a (- (acos a))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.073 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.073 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.073 * [taylor]: Taking taylor expansion of -1 in a 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.073 * [taylor]: Taking taylor expansion of a in a 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (acos a) in a 0.075 * [backup-simplify]: Simplify (acos a) into (acos a) 0.075 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.075 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.075 * [taylor]: Taking taylor expansion of -1 in a 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.075 * [taylor]: Taking taylor expansion of a in a 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (acos a) in a 0.075 * [backup-simplify]: Simplify (acos a) into (acos a) 0.075 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.075 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.075 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.076 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.079 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [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 0.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [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 0.084 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [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 0.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.088 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.088 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.088 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.088 * [taylor]: Taking taylor expansion of -1 in a 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.088 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.088 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.088 * [taylor]: Taking taylor expansion of a in a 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.089 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.089 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) 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 (* (acos (/ 1 a)) a) in a 0.089 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.089 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 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 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.090 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.090 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.090 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.091 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.094 * [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 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.096 * [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 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.098 * [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 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.100 * [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 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.100 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.100 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.101 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.101 * [taylor]: Taking taylor expansion of a in a 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.101 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.101 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.101 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.102 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.102 * [taylor]: Taking taylor expansion of a in a 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.102 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.102 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.102 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.103 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.110 * [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 0.110 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.113 * [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 0.113 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.116 * [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 0.116 * [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 * * * [progress]: simplifying candidates 0.118 * [simplify]: Simplifying: (- (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))) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.121 * * [simplify]: Extracting # 2 : cost 0 0.121 * * [simplify]: Extracting # 3 : cost 0 0.121 * * [simplify]: Extracting # 4 : cost 0 0.122 * * [simplify]: Extracting # 5 : cost 0 0.122 * * [simplify]: iteration 0 : 94 enodes (cost 601 ) 0.176 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: Extracting # 1 : cost 0 0.177 * * [simplify]: Extracting # 2 : cost 0 0.177 * * [simplify]: Extracting # 3 : cost 0 0.177 * * [simplify]: iteration 1 : 164 enodes (cost 569 ) 0.239 * * [simplify]: Extracting # 0 : cost 0 0.239 * * [simplify]: Extracting # 1 : cost 0 0.239 * * [simplify]: Extracting # 2 : cost 0 0.240 * * [simplify]: Extracting # 3 : cost 0 0.240 * * [simplify]: Extracting # 4 : cost 0 0.240 * * [simplify]: iteration 2 : 334 enodes (cost 551 ) 0.378 * * [simplify]: Extracting # 0 : cost 0 0.380 * * [simplify]: Extracting # 1 : cost 0 0.381 * * [simplify]: Extracting # 2 : cost 0 0.382 * * [simplify]: Extracting # 3 : cost 0 0.383 * * [simplify]: Extracting # 4 : cost 0 0.383 * * [simplify]: iteration 3 : 587 enodes (cost 551 ) 0.740 * * [simplify]: Extracting # 0 : cost 0 0.741 * * [simplify]: Extracting # 1 : cost 0 0.742 * * [simplify]: Extracting # 2 : cost 0 0.742 * * [simplify]: Extracting # 3 : cost 0 0.743 * * [simplify]: Extracting # 4 : cost 0 0.744 * * [simplify]: iteration 4 : 1101 enodes (cost 551 ) 1.908 * * [simplify]: Extracting # 0 : cost 0 1.918 * * [simplify]: Extracting # 1 : cost 0 1.921 * * [simplify]: Extracting # 2 : cost 0 1.924 * * [simplify]: Extracting # 3 : cost 0 1.927 * * [simplify]: Extracting # 4 : cost 0 1.929 * * [simplify]: iteration 5 : 2149 enodes (cost 546 ) 4.814 * * [simplify]: Extracting # 0 : cost 0 4.819 * * [simplify]: Extracting # 1 : cost 0 4.823 * * [simplify]: Extracting # 2 : cost 0 4.831 * * [simplify]: Extracting # 3 : cost 0 4.836 * * [simplify]: Extracting # 4 : cost 0 4.840 * * [simplify]: iteration done: 5000 enodes (cost 546 ) 4.840 * [simplify]: Simplified to: (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) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (- a) (/ 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))) 4.840 * * * [progress]: adding candidates to table 4.949 * * [progress]: iteration 2 / 4 4.949 * * * [progress]: picking best candidate 4.965 * * * * [pick]: Picked # 4.965 * * * [progress]: localizing error 4.971 * * * [progress]: generating rewritten candidates 4.971 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.988 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 5.001 * * * [progress]: generating series expansions 5.001 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.002 * [backup-simplify]: Simplify (* a (/ -1 (acos a))) into (* -1 (/ a (acos a))) 5.002 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.002 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.002 * [taylor]: Taking taylor expansion of -1 in a 5.002 * [backup-simplify]: Simplify -1 into -1 5.002 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.002 * [taylor]: Taking taylor expansion of a in a 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 1 into 1 5.002 * [taylor]: Taking taylor expansion of (acos a) in a 5.002 * [backup-simplify]: Simplify (acos a) into (acos a) 5.002 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.002 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.002 * [taylor]: Taking taylor expansion of -1 in a 5.002 * [backup-simplify]: Simplify -1 into -1 5.002 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.002 * [taylor]: Taking taylor expansion of a in a 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 1 into 1 5.002 * [taylor]: Taking taylor expansion of (acos a) in a 5.002 * [backup-simplify]: Simplify (acos a) into (acos a) 5.002 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.003 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.003 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.003 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.004 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.005 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.007 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [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 5.009 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [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 5.011 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.012 * [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 5.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.014 * [backup-simplify]: Simplify (* (/ 1 a) (/ -1 (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 5.014 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.014 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.014 * [taylor]: Taking taylor expansion of -1 in a 5.014 * [backup-simplify]: Simplify -1 into -1 5.014 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.015 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.015 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.015 * [taylor]: Taking taylor expansion of a in a 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.015 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.015 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.015 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.016 * [taylor]: Taking taylor expansion of -1 in a 5.016 * [backup-simplify]: Simplify -1 into -1 5.016 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.016 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.016 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.016 * [taylor]: Taking taylor expansion of a in a 5.016 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify 1 into 1 5.016 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.016 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.016 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.017 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.017 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.018 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.018 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.019 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.019 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.021 * [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 5.021 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.023 * [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 5.023 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.025 * [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 5.025 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.027 * [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 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.027 * [backup-simplify]: Simplify (* (/ 1 (- a)) (/ -1 (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 5.028 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.028 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.028 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.028 * [taylor]: Taking taylor expansion of a in a 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify 1 into 1 5.028 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.028 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.028 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.028 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.029 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.029 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.029 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.029 * [taylor]: Taking taylor expansion of a in a 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.029 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.029 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.030 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.030 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.031 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.035 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.037 * [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 5.037 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.040 * [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 5.040 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.044 * [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 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.044 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 5.044 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.044 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 5.044 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.044 * [taylor]: Taking taylor expansion of -1 in a 5.044 * [backup-simplify]: Simplify -1 into -1 5.044 * [taylor]: Taking taylor expansion of (acos a) in a 5.044 * [backup-simplify]: Simplify (acos a) into (acos a) 5.045 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.045 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.045 * [taylor]: Taking taylor expansion of -1 in a 5.045 * [backup-simplify]: Simplify -1 into -1 5.045 * [taylor]: Taking taylor expansion of (acos a) in a 5.045 * [backup-simplify]: Simplify (acos a) into (acos a) 5.045 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.045 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.045 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 5.045 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [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 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [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 5.047 * [backup-simplify]: Simplify 0 into 0 5.048 * [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 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.048 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.048 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 5.048 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.048 * [taylor]: Taking taylor expansion of -1 in a 5.048 * [backup-simplify]: Simplify -1 into -1 5.048 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.048 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.048 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.048 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.048 * [taylor]: Taking taylor expansion of -1 in a 5.048 * [backup-simplify]: Simplify -1 into -1 5.048 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.048 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.049 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.049 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.049 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.049 * [backup-simplify]: Simplify 0 into 0 5.050 * [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 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [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 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [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 5.051 * [backup-simplify]: Simplify 0 into 0 5.052 * [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 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 5.052 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (- a)))) into (/ -1 (acos (/ -1 a))) 5.052 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 5.052 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.052 * [taylor]: Taking taylor expansion of -1 in a 5.052 * [backup-simplify]: Simplify -1 into -1 5.052 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.052 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.053 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.053 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.053 * [taylor]: Taking taylor expansion of -1 in a 5.053 * [backup-simplify]: Simplify -1 into -1 5.053 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.053 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.053 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.053 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.053 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [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 5.054 * [backup-simplify]: Simplify 0 into 0 5.055 * [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 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [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 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [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 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 5.056 * * * [progress]: simplifying candidates 5.058 * [simplify]: Simplifying: (* a (/ -1 (acos a))) (+ (log a) (- (log -1) (log (acos a)))) (+ (log a) (log (/ -1 (acos a)))) (log (* a (/ -1 (acos a)))) (exp (* a (/ -1 (acos a)))) (* (* (* a a) a) (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a)))) (* (* (* a a) a) (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a)))) (* (cbrt (* a (/ -1 (acos a)))) (cbrt (* a (/ -1 (acos a))))) (cbrt (* a (/ -1 (acos a)))) (* (* (* a (/ -1 (acos a))) (* a (/ -1 (acos a)))) (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* a (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a))))) (* a (sqrt (/ -1 (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) 1)) (* a (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt -1) (sqrt (acos a)))) (* a (/ (sqrt -1) 1)) (* a (/ 1 (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ 1 (sqrt (acos a)))) (* a (/ 1 1)) (* a 1) (* a -1) (* (cbrt a) (/ -1 (acos a))) (* (sqrt a) (/ -1 (acos a))) (* a (/ -1 (acos a))) (* a -1) (- (log -1) (log (acos a))) (log (/ -1 (acos a))) (exp (/ -1 (acos a))) (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a))) (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (cbrt (/ -1 (acos a))) (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a))) (sqrt (/ -1 (acos a))) (sqrt (/ -1 (acos a))) (- -1) (- (acos a)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt -1) (cbrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (cbrt -1) (sqrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (acos a)) (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt -1) (cbrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) 1) (/ (sqrt -1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) (/ 1 1) (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) (/ -1 1) (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 5.060 * * [simplify]: Extracting # 0 : cost 0 5.060 * * [simplify]: Extracting # 1 : cost 0 5.060 * * [simplify]: Extracting # 2 : cost 0 5.060 * * [simplify]: Extracting # 3 : cost 0 5.061 * * [simplify]: Extracting # 4 : cost 0 5.061 * * [simplify]: Extracting # 5 : cost 0 5.061 * * [simplify]: Extracting # 6 : cost 0 5.061 * * [simplify]: iteration 0 : 86 enodes (cost 558 ) 5.106 * * [simplify]: Extracting # 0 : cost 0 5.106 * * [simplify]: Extracting # 1 : cost 0 5.106 * * [simplify]: Extracting # 2 : cost 0 5.106 * * [simplify]: Extracting # 3 : cost 0 5.107 * * [simplify]: iteration 1 : 180 enodes (cost 510 ) 5.170 * * [simplify]: Extracting # 0 : cost 0 5.171 * * [simplify]: Extracting # 1 : cost 0 5.171 * * [simplify]: Extracting # 2 : cost 0 5.175 * * [simplify]: Extracting # 3 : cost 0 5.176 * * [simplify]: Extracting # 4 : cost 0 5.176 * * [simplify]: Extracting # 5 : cost 0 5.177 * * [simplify]: iteration 2 : 502 enodes (cost 460 ) 5.603 * * [simplify]: Extracting # 0 : cost 0 5.605 * * [simplify]: Extracting # 1 : cost 0 5.606 * * [simplify]: Extracting # 2 : cost 0 5.607 * * [simplify]: Extracting # 3 : cost 0 5.608 * * [simplify]: Extracting # 4 : cost 0 5.609 * * [simplify]: iteration 3 : 1348 enodes (cost 458 ) 9.366 * * [simplify]: Extracting # 0 : cost 0 9.370 * * [simplify]: Extracting # 1 : cost 0 9.373 * * [simplify]: Extracting # 2 : cost 0 9.375 * * [simplify]: Extracting # 3 : cost 0 9.377 * * [simplify]: Extracting # 4 : cost 0 9.379 * * [simplify]: iteration 4 : 3468 enodes (cost 458 ) 13.184 * * [simplify]: Extracting # 0 : cost 0 13.192 * * [simplify]: Extracting # 1 : cost 0 13.200 * * [simplify]: Extracting # 2 : cost 0 13.208 * * [simplify]: iteration done: 5001 enodes (cost 458 ) 13.209 * [simplify]: Simplified to: (- (/ a (acos a))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (exp (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (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)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* a (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a))))) (* a (sqrt (/ -1 (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a)))) (* a (* (cbrt -1) (cbrt -1))) (* a (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt -1) (sqrt (acos a)))) (* a (sqrt -1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a a (- a) (/ (- (cbrt a)) (acos a)) (/ (- (sqrt a)) (acos a)) (- (/ a (acos a))) (- a) (log (/ -1 (acos a))) (log (/ -1 (acos a))) (exp (/ -1 (acos a))) (pow (/ -1 (acos a)) 3) (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (cbrt (/ -1 (acos a))) (pow (/ -1 (acos a)) 3) (sqrt (/ -1 (acos a))) (sqrt (/ -1 (acos a))) 1 (- (acos a)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt -1) (cbrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (cbrt -1) (sqrt (acos a))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (acos a)) (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt -1) (cbrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (sqrt -1) (/ (sqrt -1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) 1 (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) -1 (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 13.209 * * * [progress]: adding candidates to table 13.420 * * [progress]: iteration 3 / 4 13.420 * * * [progress]: picking best candidate 13.437 * * * * [pick]: Picked # 13.437 * * * [progress]: localizing error 13.446 * * * [progress]: generating rewritten candidates 13.446 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 13.464 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 13.502 * * * [progress]: generating series expansions 13.502 * * * * [progress]: [ 1 / 2 ] generating series at (2) 13.502 * [backup-simplify]: Simplify (/ 1 (/ (acos a) (- a))) into (* -1 (/ a (acos a))) 13.502 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 13.502 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 13.502 * [taylor]: Taking taylor expansion of -1 in a 13.502 * [backup-simplify]: Simplify -1 into -1 13.502 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 13.502 * [taylor]: Taking taylor expansion of a in a 13.502 * [backup-simplify]: Simplify 0 into 0 13.502 * [backup-simplify]: Simplify 1 into 1 13.502 * [taylor]: Taking taylor expansion of (acos a) in a 13.502 * [backup-simplify]: Simplify (acos a) into (acos a) 13.502 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 13.502 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 13.502 * [taylor]: Taking taylor expansion of -1 in a 13.502 * [backup-simplify]: Simplify -1 into -1 13.502 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 13.502 * [taylor]: Taking taylor expansion of a in a 13.502 * [backup-simplify]: Simplify 0 into 0 13.502 * [backup-simplify]: Simplify 1 into 1 13.502 * [taylor]: Taking taylor expansion of (acos a) in a 13.502 * [backup-simplify]: Simplify (acos a) into (acos a) 13.502 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 13.502 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 13.503 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 13.503 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 13.503 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 13.503 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.504 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 13.504 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.505 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 13.505 * [backup-simplify]: Simplify 0 into 0 13.505 * [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 13.506 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 13.506 * [backup-simplify]: Simplify 0 into 0 13.507 * [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 13.508 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 13.508 * [backup-simplify]: Simplify 0 into 0 13.508 * [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 13.510 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 13.510 * [backup-simplify]: Simplify (/ 1 (/ (acos (/ 1 a)) (- (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 13.510 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 13.510 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 13.510 * [taylor]: Taking taylor expansion of -1 in a 13.510 * [backup-simplify]: Simplify -1 into -1 13.510 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.510 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.510 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.510 * [taylor]: Taking taylor expansion of a in a 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 1 into 1 13.510 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.510 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.511 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.511 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 13.511 * [taylor]: Taking taylor expansion of -1 in a 13.511 * [backup-simplify]: Simplify -1 into -1 13.511 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.511 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.511 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.511 * [taylor]: Taking taylor expansion of a in a 13.511 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify 1 into 1 13.511 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.511 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.511 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.511 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.512 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 13.512 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 13.512 * [backup-simplify]: Simplify 0 into 0 13.512 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.513 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 13.513 * [backup-simplify]: Simplify 0 into 0 13.513 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.514 * [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 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.515 * [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 13.515 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.516 * [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 13.516 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.517 * [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 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 13.518 * [backup-simplify]: Simplify (/ 1 (/ (acos (/ 1 (- a))) (- (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 13.518 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 13.518 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 13.518 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.518 * [taylor]: Taking taylor expansion of a in a 13.518 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify 1 into 1 13.518 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.518 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.518 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.518 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.518 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.518 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 13.518 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.518 * [taylor]: Taking taylor expansion of a in a 13.518 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify 1 into 1 13.518 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.518 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.518 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.519 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.519 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 13.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 13.520 * [backup-simplify]: Simplify 0 into 0 13.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 13.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.521 * [backup-simplify]: Simplify 0 into 0 13.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 13.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.522 * [backup-simplify]: Simplify 0 into 0 13.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 13.524 * [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 13.524 * [backup-simplify]: Simplify 0 into 0 13.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 13.526 * [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 13.526 * [backup-simplify]: Simplify 0 into 0 13.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 13.528 * [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 13.528 * [backup-simplify]: Simplify 0 into 0 13.528 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 13.528 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 13.529 * [backup-simplify]: Simplify (/ (acos a) (- a)) into (* -1 (/ (acos a) a)) 13.529 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 13.529 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 13.529 * [taylor]: Taking taylor expansion of -1 in a 13.529 * [backup-simplify]: Simplify -1 into -1 13.529 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 13.529 * [taylor]: Taking taylor expansion of (acos a) in a 13.529 * [backup-simplify]: Simplify (acos a) into (acos a) 13.529 * [taylor]: Taking taylor expansion of a in a 13.529 * [backup-simplify]: Simplify 0 into 0 13.529 * [backup-simplify]: Simplify 1 into 1 13.529 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 13.529 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 13.529 * [taylor]: Taking taylor expansion of -1 in a 13.529 * [backup-simplify]: Simplify -1 into -1 13.529 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 13.529 * [taylor]: Taking taylor expansion of (acos a) in a 13.529 * [backup-simplify]: Simplify (acos a) into (acos a) 13.529 * [taylor]: Taking taylor expansion of a in a 13.529 * [backup-simplify]: Simplify 0 into 0 13.529 * [backup-simplify]: Simplify 1 into 1 13.529 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 13.529 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 13.529 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 13.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 13.530 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 13.530 * [backup-simplify]: Simplify 0 into 0 13.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 13.532 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 13.534 * [backup-simplify]: Simplify 0 into 0 13.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.536 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 13.536 * [backup-simplify]: Simplify 0 into 0 13.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.539 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 13.539 * [backup-simplify]: Simplify 0 into 0 13.541 * [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 13.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 13.544 * [backup-simplify]: Simplify 0 into 0 13.544 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 13.544 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (- (/ 1 a))) into (* -1 (* (acos (/ 1 a)) a)) 13.544 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 13.544 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 13.544 * [taylor]: Taking taylor expansion of -1 in a 13.544 * [backup-simplify]: Simplify -1 into -1 13.544 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.544 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.544 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.544 * [taylor]: Taking taylor expansion of a in a 13.544 * [backup-simplify]: Simplify 0 into 0 13.544 * [backup-simplify]: Simplify 1 into 1 13.544 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 13.544 * [taylor]: Taking taylor expansion of -1 in a 13.544 * [backup-simplify]: Simplify -1 into -1 13.544 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.545 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.545 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.545 * [taylor]: Taking taylor expansion of a in a 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [backup-simplify]: Simplify 1 into 1 13.545 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.545 * [backup-simplify]: Simplify (* -1 0) into 0 13.545 * [backup-simplify]: Simplify 0 into 0 13.546 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.546 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 13.547 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 13.547 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 13.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 13.548 * [backup-simplify]: Simplify 0 into 0 13.549 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 13.551 * [backup-simplify]: Simplify 0 into 0 13.552 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.553 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 13.553 * [backup-simplify]: Simplify 0 into 0 13.555 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.557 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 13.557 * [backup-simplify]: Simplify 0 into 0 13.558 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.562 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 13.562 * [backup-simplify]: Simplify 0 into 0 13.564 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.567 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 13.567 * [backup-simplify]: Simplify 0 into 0 13.567 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 13.567 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (- (/ 1 (- a)))) into (* a (acos (/ -1 a))) 13.567 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 13.567 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.567 * [taylor]: Taking taylor expansion of a in a 13.568 * [backup-simplify]: Simplify 0 into 0 13.568 * [backup-simplify]: Simplify 1 into 1 13.568 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.568 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.568 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.568 * [taylor]: Taking taylor expansion of a in a 13.568 * [backup-simplify]: Simplify 0 into 0 13.568 * [backup-simplify]: Simplify 1 into 1 13.568 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.568 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.568 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.568 * [backup-simplify]: Simplify 0 into 0 13.569 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.569 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 13.570 * [backup-simplify]: Simplify 0 into 0 13.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 13.571 * [backup-simplify]: Simplify 0 into 0 13.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 13.572 * [backup-simplify]: Simplify 0 into 0 13.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 13.573 * [backup-simplify]: Simplify 0 into 0 13.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 13.574 * [backup-simplify]: Simplify 0 into 0 13.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 13.576 * [backup-simplify]: Simplify 0 into 0 13.576 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 13.576 * * * [progress]: simplifying candidates 13.579 * [simplify]: Simplifying: (- 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)))) (* (cbrt (/ 1 (/ (acos a) (- a)))) (cbrt (/ 1 (/ (acos a) (- a))))) (cbrt (/ 1 (/ (acos a) (- a)))) (* (* (/ 1 (/ (acos a) (- a))) (/ 1 (/ (acos a) (- a)))) (/ 1 (/ (acos a) (- a)))) (sqrt (/ 1 (/ (acos a) (- a)))) (sqrt (/ 1 (/ (acos a) (- a)))) (- 1) (- (/ (acos a) (- a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a))))) (/ (cbrt 1) (cbrt (/ (acos a) (- a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (acos a) (- a)))) (/ (cbrt 1) (sqrt (/ (acos a) (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (- a)) (cbrt (- a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (- a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) (- a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (sqrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- 1))) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (- (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (acos a)) (- (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) (- a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt (- a)) (cbrt (- a))))) (/ (cbrt 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)) (/ (sqrt (acos a)) -1)) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (- (* (cbrt a) (cbrt a))))) (/ (cbrt 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)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 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 -1)) (/ (cbrt 1) (/ (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 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 a)) (sqrt (- a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) (- a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ (sqrt 1) (/ (cbrt (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 a)) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- 1))) (/ (sqrt 1) (/ (cbrt (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 a)) (- (sqrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) (- a))) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt (- a)) (cbrt (- a))))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt (- a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt (- a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt (- a)))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) (- a))) (/ (sqrt 1) (/ (sqrt (acos a)) -1)) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (- (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (- (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (- 1))) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (- (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (- (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) (- a))) (/ (sqrt 1) (/ 1 (* (cbrt (- a)) (cbrt (- a))))) (/ (sqrt 1) (/ (acos a) (cbrt (- a)))) (/ (sqrt 1) (/ 1 (sqrt (- a)))) (/ (sqrt 1) (/ (acos a) (sqrt (- a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (acos a) (- a))) (/ (sqrt 1) (/ 1 -1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ 1 (- (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ 1 (- (sqrt a)))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ 1 (- 1))) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (- (cbrt a)))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (acos a) (- (sqrt a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (acos a) (- a))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (acos a) (- a))) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (/ 1 (- 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)) (/ 1 (/ (cbrt (acos a)) (- a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ 1 (/ (cbrt (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 (/ (* (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 (/ (sqrt (acos a)) -1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (sqrt (acos a)) (- (* (cbrt a) (cbrt a))))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (- (sqrt 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(acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 13.584 * * [simplify]: Extracting # 0 : cost 0 13.589 * * [simplify]: Extracting # 1 : cost 0 13.590 * * [simplify]: Extracting # 2 : cost 0 13.590 * * [simplify]: Extracting # 3 : cost 0 13.591 * * [simplify]: Extracting # 4 : cost 0 13.591 * * [simplify]: Extracting # 5 : cost 0 13.592 * * [simplify]: iteration 0 : 293 enodes (cost 3186 ) 13.809 * * [simplify]: Extracting # 0 : cost 0 13.810 * * [simplify]: Extracting # 1 : cost 0 13.811 * * [simplify]: Extracting # 2 : cost 0 13.811 * * [simplify]: Extracting # 3 : cost 0 13.812 * * [simplify]: iteration 1 : 611 enodes (cost 2657 ) 13.994 * * [simplify]: Extracting # 0 : cost 0 13.996 * * [simplify]: Extracting # 1 : cost 0 13.997 * * [simplify]: Extracting # 2 : cost 0 13.998 * * [simplify]: Extracting # 3 : cost 0 13.998 * * [simplify]: Extracting # 4 : cost 0 13.999 * * [simplify]: iteration 2 : 1135 enodes (cost 2356 ) 14.976 * * [simplify]: Extracting # 0 : cost 0 14.979 * * [simplify]: Extracting # 1 : cost 0 14.981 * * [simplify]: Extracting # 2 : cost 0 14.984 * * [simplify]: Extracting # 3 : cost 0 14.986 * * [simplify]: Extracting # 4 : cost 0 14.988 * * [simplify]: iteration 3 : 2752 enodes (cost 2260 ) 16.174 * * [simplify]: Extracting # 0 : cost 0 16.186 * * [simplify]: Extracting # 1 : cost 0 16.195 * * [simplify]: Extracting # 2 : cost 0 16.204 * * [simplify]: iteration done: 5000 enodes (cost 2260 ) 16.206 * [simplify]: Simplified to: -1 (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (exp (/ (- a) (acos a))) (pow (/ (- a) (acos a)) 3) (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))) -1 (- (/ (acos a) (- a))) (/ 1 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(cbrt (- a)) (cbrt (- a))) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt (- a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (- (* (cbrt a) (cbrt a))) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (- (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt (- a)) (cbrt (- a))) (sqrt (acos a))) (/ (sqrt (- a)) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) (- (/ (* (cbrt a) (cbrt a)) (sqrt (acos a)))) (/ (- (sqrt a)) (sqrt (acos a))) (/ -1 (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt (- a)) (cbrt (- a))) (sqrt (- a)) 1 -1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (acos 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 (/ PI (* a -2)) (/ (asin 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)) (/ (cbrt (acos a)) (/ -1 (cbrt (acos a)))) (/ (cbrt (acos a)) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (- (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (/ (- (sqrt a)) (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (/ (cbrt (acos a)) (/ -1 (cbrt (acos a)))) (/ (cbrt (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)) (/ (sqrt (acos a)) -1) (/ (sqrt (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) (/ (/ (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 (/ (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)) (/ -1 a) (/ (- a) (acos a)) (/ (acos a) (* (cbrt (- a)) (cbrt (- a)))) (/ (acos a) (sqrt (- a))) (acos 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) (/ (- 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)) 16.209 * * * [progress]: adding candidates to table 16.654 * * [progress]: iteration 4 / 4 16.654 * * * [progress]: picking best candidate 16.664 * * * * [pick]: Picked # 16.664 * * * [progress]: localizing error 16.680 * * * [progress]: generating rewritten candidates 16.680 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 16.736 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 16.791 * * * [progress]: generating series expansions 16.792 * * * * [progress]: [ 1 / 2 ] generating series at (2) 16.792 * [backup-simplify]: Simplify (/ (/ 1 (acos a)) (/ 1 (- a))) into (* -1 (/ a (acos a))) 16.792 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 16.792 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 16.792 * [taylor]: Taking taylor expansion of -1 in a 16.792 * [backup-simplify]: Simplify -1 into -1 16.792 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 16.792 * [taylor]: Taking taylor expansion of a in a 16.792 * [backup-simplify]: Simplify 0 into 0 16.792 * [backup-simplify]: Simplify 1 into 1 16.792 * [taylor]: Taking taylor expansion of (acos a) in a 16.792 * [backup-simplify]: Simplify (acos a) into (acos a) 16.792 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.792 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 16.792 * [taylor]: Taking taylor expansion of -1 in a 16.792 * [backup-simplify]: Simplify -1 into -1 16.792 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 16.792 * [taylor]: Taking taylor expansion of a in a 16.792 * [backup-simplify]: Simplify 0 into 0 16.792 * [backup-simplify]: Simplify 1 into 1 16.792 * [taylor]: Taking taylor expansion of (acos a) in a 16.792 * [backup-simplify]: Simplify (acos a) into (acos a) 16.792 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.792 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 16.792 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 16.793 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 16.793 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 16.793 * [backup-simplify]: Simplify 0 into 0 16.793 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.794 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 16.794 * [backup-simplify]: Simplify 0 into 0 16.794 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.796 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 16.796 * [backup-simplify]: Simplify 0 into 0 16.796 * [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 16.798 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 16.798 * [backup-simplify]: Simplify 0 into 0 16.798 * [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 16.800 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 16.800 * [backup-simplify]: Simplify 0 into 0 16.801 * [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 16.803 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 16.804 * [backup-simplify]: Simplify 0 into 0 16.804 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 16.804 * [backup-simplify]: Simplify (/ (/ 1 (acos (/ 1 a))) (/ 1 (- (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 16.804 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 16.804 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 16.804 * [taylor]: Taking taylor expansion of -1 in a 16.804 * [backup-simplify]: Simplify -1 into -1 16.804 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 16.804 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.804 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.804 * [taylor]: Taking taylor expansion of a in a 16.804 * [backup-simplify]: Simplify 0 into 0 16.804 * [backup-simplify]: Simplify 1 into 1 16.804 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 16.805 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 16.805 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.805 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 16.805 * [taylor]: Taking taylor expansion of -1 in a 16.805 * [backup-simplify]: Simplify -1 into -1 16.805 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 16.805 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.805 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.805 * [taylor]: Taking taylor expansion of a in a 16.805 * [backup-simplify]: Simplify 0 into 0 16.805 * [backup-simplify]: Simplify 1 into 1 16.806 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 16.806 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 16.806 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.806 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.807 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 16.807 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 16.807 * [backup-simplify]: Simplify 0 into 0 16.808 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.809 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.809 * [backup-simplify]: Simplify 0 into 0 16.810 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.810 * [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 16.810 * [backup-simplify]: Simplify 0 into 0 16.812 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 16.812 * [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 16.812 * [backup-simplify]: Simplify 0 into 0 16.814 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 16.814 * [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 16.815 * [backup-simplify]: Simplify 0 into 0 16.816 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 16.817 * [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 16.817 * [backup-simplify]: Simplify 0 into 0 16.817 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 16.817 * [backup-simplify]: Simplify (/ (/ 1 (acos (/ 1 (- a)))) (/ 1 (- (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 16.817 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 16.818 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 16.818 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 16.818 * [taylor]: Taking taylor expansion of a in a 16.818 * [backup-simplify]: Simplify 0 into 0 16.818 * [backup-simplify]: Simplify 1 into 1 16.818 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.818 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.818 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 16.818 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 16.819 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.819 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 16.819 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 16.819 * [taylor]: Taking taylor expansion of a in a 16.819 * [backup-simplify]: Simplify 0 into 0 16.819 * [backup-simplify]: Simplify 1 into 1 16.819 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.819 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.819 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 16.819 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 16.820 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.820 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 16.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 16.821 * [backup-simplify]: Simplify 0 into 0 16.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 16.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.823 * [backup-simplify]: Simplify 0 into 0 16.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 16.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.825 * [backup-simplify]: Simplify 0 into 0 16.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 16.828 * [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 16.828 * [backup-simplify]: Simplify 0 into 0 16.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 16.831 * [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 16.831 * [backup-simplify]: Simplify 0 into 0 16.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 16.834 * [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 16.834 * [backup-simplify]: Simplify 0 into 0 16.835 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 16.835 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 16.835 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.835 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 16.835 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 16.835 * [taylor]: Taking taylor expansion of (acos a) in a 16.835 * [backup-simplify]: Simplify (acos a) into (acos a) 16.835 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.835 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 16.835 * [taylor]: Taking taylor expansion of (acos a) in a 16.835 * [backup-simplify]: Simplify (acos a) into (acos a) 16.835 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.836 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 16.836 * [backup-simplify]: Simplify 0 into 0 16.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.836 * [backup-simplify]: Simplify 0 into 0 16.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.837 * [backup-simplify]: Simplify 0 into 0 16.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.837 * [backup-simplify]: Simplify 0 into 0 16.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.838 * [backup-simplify]: Simplify 0 into 0 16.838 * [backup-simplify]: Simplify (- (+ (* (/ 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 16.838 * [backup-simplify]: Simplify 0 into 0 16.838 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.838 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.838 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 16.839 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 16.839 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.839 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.839 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.839 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 16.839 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.839 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.839 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.839 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 16.839 * [backup-simplify]: Simplify 0 into 0 16.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.840 * [backup-simplify]: Simplify 0 into 0 16.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.840 * [backup-simplify]: Simplify 0 into 0 16.841 * [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 16.841 * [backup-simplify]: Simplify 0 into 0 16.842 * [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 16.842 * [backup-simplify]: Simplify 0 into 0 16.843 * [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 16.843 * [backup-simplify]: Simplify 0 into 0 16.843 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 (/ 1 a)))) into (/ 1 (acos a)) 16.843 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 (- a)))) into (/ 1 (acos (/ -1 a))) 16.843 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 16.843 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 16.843 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.843 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.843 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.843 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 16.843 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.844 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.844 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.844 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 16.844 * [backup-simplify]: Simplify 0 into 0 16.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.845 * [backup-simplify]: Simplify 0 into 0 16.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.845 * [backup-simplify]: Simplify 0 into 0 16.846 * [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 16.846 * [backup-simplify]: Simplify 0 into 0 16.846 * [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 16.846 * [backup-simplify]: Simplify 0 into 0 16.847 * [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 16.847 * [backup-simplify]: Simplify 0 into 0 16.847 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 (/ 1 (- a))))) into (/ 1 (acos a)) 16.847 * * * [progress]: simplifying candidates 16.877 * [simplify]: Simplifying: (- (- (log (acos a))) (- (log (- a)))) (- (- (log (acos a))) (- 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cost 0 16.931 * * [simplify]: Extracting # 4 : cost 0 16.935 * * [simplify]: Extracting # 5 : cost 0 16.938 * * [simplify]: Extracting # 6 : cost 0 16.942 * * [simplify]: iteration 0 : 805 enodes (cost 12210 ) 17.840 * * [simplify]: Extracting # 0 : cost 0 17.848 * * [simplify]: Extracting # 1 : cost 0 17.849 * * [simplify]: Extracting # 2 : cost 0 17.849 * * [simplify]: Extracting # 3 : cost 0 17.851 * * [simplify]: iteration 1 : 2273 enodes (cost 8248 ) 18.169 * * [simplify]: Extracting # 0 : cost 0 18.172 * * [simplify]: Extracting # 1 : cost 0 18.173 * * [simplify]: Extracting # 2 : cost 0 18.175 * * [simplify]: Extracting # 3 : cost 0 18.177 * * [simplify]: iteration 2 : 3256 enodes (cost 7104 ) 19.012 * * [simplify]: Extracting # 0 : cost 0 19.024 * * [simplify]: Extracting # 1 : cost 0 19.027 * * [simplify]: Extracting # 2 : cost 0 19.030 * * [simplify]: Extracting # 3 : cost 0 19.033 * * [simplify]: Extracting # 4 : cost 0 19.035 * * [simplify]: Extracting # 5 : cost 0 19.039 * 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