61.992 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying: (/ a (- (acos a))) 0.046 * * [simplify]: iteration 0: 4 enodes 0.048 * * [simplify]: iteration complete: 4 enodes 0.048 * * [simplify]: Extracting #0: cost 1 inf + 0 0.048 * * [simplify]: Extracting #1: cost 3 inf + 0 0.048 * * [simplify]: Extracting #2: cost 3 inf + 1 0.048 * * [simplify]: Extracting #3: cost 1 inf + 223 0.048 * * [simplify]: Extracting #4: cost 0 inf + 394 0.048 * [simplify]: Simplified to: (/ a (- (acos a))) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.100 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.100 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.100 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.100 * [taylor]: Taking taylor expansion of -1 in a 0.100 * [backup-simplify]: Simplify -1 into -1 0.100 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.100 * [taylor]: Taking taylor expansion of a in a 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of (acos a) in a 0.102 * [backup-simplify]: Simplify (acos a) into (acos a) 0.103 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.103 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.103 * [taylor]: Taking taylor expansion of -1 in a 0.103 * [backup-simplify]: Simplify -1 into -1 0.103 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.103 * [taylor]: Taking taylor expansion of a in a 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [taylor]: Taking taylor expansion of (acos a) in a 0.103 * [backup-simplify]: Simplify (acos a) into (acos a) 0.103 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.103 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.103 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.104 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.104 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.106 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [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 0.109 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [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 0.112 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [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 0.115 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.115 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.115 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.116 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.116 * [taylor]: Taking taylor expansion of -1 in a 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.116 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.116 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.116 * [taylor]: Taking taylor expansion of a in a 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.116 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.117 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.117 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.117 * [taylor]: Taking taylor expansion of -1 in a 0.117 * [backup-simplify]: Simplify -1 into -1 0.117 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.117 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.117 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.117 * [taylor]: Taking taylor expansion of a in a 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.117 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.118 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.118 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.119 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.122 * [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 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.124 * [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 0.124 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.126 * [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 0.126 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.130 * [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 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.130 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.130 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.130 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.130 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.130 * [taylor]: Taking taylor expansion of a in a 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.131 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.131 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.132 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.132 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.132 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.132 * [taylor]: Taking taylor expansion of a in a 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.132 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.132 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.133 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.133 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.142 * [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 0.142 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.146 * [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 0.146 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.149 * [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 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.149 * * * [progress]: simplifying candidates 0.151 * [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))) 0.154 * * [simplify]: iteration 0: 94 enodes 0.200 * * [simplify]: iteration 1: 171 enodes 0.299 * * [simplify]: iteration 2: 454 enodes 0.635 * * [simplify]: iteration 3: 1327 enodes 2.019 * * [simplify]: iteration complete: 5000 enodes 2.019 * * [simplify]: Extracting #0: cost 63 inf + 0 2.022 * * [simplify]: Extracting #1: cost 768 inf + 560 2.034 * * [simplify]: Extracting #2: cost 1539 inf + 25158 2.098 * * [simplify]: Extracting #3: cost 620 inf + 256552 2.198 * * [simplify]: Extracting #4: cost 36 inf + 378568 2.301 * * [simplify]: Extracting #5: cost 0 inf + 385054 2.412 * [simplify]: Simplified to: (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ 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 (- (acos a)))) (/ (cbrt 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 (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (/ (sqrt a) (cbrt (acos a))) (- (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (/ a -1) (/ (/ a (- (cbrt (acos a)))) (cbrt (acos a))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 2.418 * * * [progress]: adding candidates to table 2.725 * * [progress]: iteration 2 / 4 2.725 * * * [progress]: picking best candidate 2.791 * * * * [pick]: Picked # 2.791 * * * [progress]: localizing error 2.815 * * * [progress]: generating rewritten candidates 2.815 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.850 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.895 * * * [progress]: generating series expansions 2.895 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.895 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 2.895 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.895 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.895 * [taylor]: Taking taylor expansion of -1 in a 2.895 * [backup-simplify]: Simplify -1 into -1 2.895 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.895 * [taylor]: Taking taylor expansion of a in a 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [taylor]: Taking taylor expansion of (acos a) in a 2.895 * [backup-simplify]: Simplify (acos a) into (acos a) 2.895 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.896 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.896 * [taylor]: Taking taylor expansion of -1 in a 2.896 * [backup-simplify]: Simplify -1 into -1 2.896 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.896 * [taylor]: Taking taylor expansion of a in a 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [taylor]: Taking taylor expansion of (acos a) in a 2.896 * [backup-simplify]: Simplify (acos a) into (acos a) 2.896 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.896 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.896 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.896 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.897 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.899 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.909 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.910 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 2.910 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.910 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.910 * [taylor]: Taking taylor expansion of -1 in a 2.910 * [backup-simplify]: Simplify -1 into -1 2.910 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.910 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.910 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.910 * [taylor]: Taking taylor expansion of a in a 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 2.911 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 2.911 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.911 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.911 * [taylor]: Taking taylor expansion of -1 in a 2.911 * [backup-simplify]: Simplify -1 into -1 2.911 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.911 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.911 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.911 * [taylor]: Taking taylor expansion of a in a 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 2.913 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 2.913 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.913 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.914 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 2.914 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.916 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.920 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.922 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.924 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.925 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.925 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.925 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.925 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.925 * [taylor]: Taking taylor expansion of a in a 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.925 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.925 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.926 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.926 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.926 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.926 * [taylor]: Taking taylor expansion of a in a 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.927 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.927 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.927 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.928 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.943 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.943 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 2.943 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.943 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.943 * [taylor]: Taking taylor expansion of -1 in a 2.943 * [backup-simplify]: Simplify -1 into -1 2.943 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.943 * [taylor]: Taking taylor expansion of (acos a) in a 2.943 * [backup-simplify]: Simplify (acos a) into (acos a) 2.943 * [taylor]: Taking taylor expansion of a in a 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.943 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.943 * [taylor]: Taking taylor expansion of -1 in a 2.943 * [backup-simplify]: Simplify -1 into -1 2.943 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.943 * [taylor]: Taking taylor expansion of (acos a) in a 2.944 * [backup-simplify]: Simplify (acos a) into (acos a) 2.944 * [taylor]: Taking taylor expansion of a in a 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.944 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.944 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.976 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 2.976 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.976 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 2.976 * [taylor]: Taking taylor expansion of -1 in a 2.976 * [backup-simplify]: Simplify -1 into -1 2.976 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.976 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.976 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.976 * [taylor]: Taking taylor expansion of a in a 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 2.977 * [taylor]: Taking taylor expansion of -1 in a 2.977 * [backup-simplify]: Simplify -1 into -1 2.977 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.977 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.977 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.977 * [taylor]: Taking taylor expansion of a in a 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 2.978 * [backup-simplify]: Simplify (* -1 0) into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 2.979 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 2.979 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 2.980 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 2.980 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 2.980 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.983 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.997 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.997 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.997 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.998 * [taylor]: Taking taylor expansion of a in a 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.998 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.998 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.998 * [taylor]: Taking taylor expansion of a in a 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.998 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.998 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.999 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.010 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 3.011 * * * [progress]: simplifying candidates 3.018 * [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)) (/ (sqrt (- (acos a))) (* 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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)) (/ (- 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)) (/ (* (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)) (/ 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(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) (/ (- 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) (/ (* (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)) (* 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(/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 3.029 * * [simplify]: iteration 0: 288 enodes 3.317 * * [simplify]: iteration 1: 768 enodes 3.813 * * [simplify]: iteration 2: 1547 enodes 5.139 * * [simplify]: iteration 3: 3465 enodes 6.602 * * [simplify]: iteration complete: 5000 enodes 6.602 * * [simplify]: Extracting #0: cost 117 inf + 0 6.620 * * [simplify]: Extracting #1: cost 867 inf + 87 6.633 * * [simplify]: Extracting #2: cost 1109 inf + 45068 6.681 * * [simplify]: Extracting #3: cost 404 inf + 233769 6.760 * * [simplify]: Extracting #4: cost 64 inf + 332230 6.854 * * [simplify]: Extracting #5: cost 2 inf + 341321 6.950 * * [simplify]: Extracting #6: cost 0 inf + 342267 7.067 * [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)))) (* (* (/ a (acos a)) (/ a (acos a))) (/ a (- (acos a)))) (* (* (/ a (acos a)) (/ a (acos a))) (/ 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)))) -1 (/ (acos a) a) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt a) (cbrt (- (acos a)))) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (/ (cbrt a) (cbrt (acos a))) (- (/ (cbrt (acos a)) (cbrt 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)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (/ (sqrt a) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ a (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt a) (cbrt (- (acos a)))) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (/ (cbrt a) (cbrt (acos a))) (- (/ (cbrt (acos a)) (cbrt 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)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (/ (sqrt a) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ a (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt a) (cbrt (- (acos a)))) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (/ (cbrt a) (cbrt (acos a))) (- (/ (cbrt (acos a)) (cbrt 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)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (/ (sqrt a) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ a (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) (cbrt a))) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (* (- (cbrt a)) (cbrt a)) (- (sqrt a)) -1 (/ (/ (cbrt a) (cbrt (acos a))) (- (/ (cbrt (acos a)) (cbrt 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) (/ 1 (- (sqrt (acos a))))) (/ 1 (- (sqrt (acos a)))) (* (- (cbrt a)) (cbrt a)) (- (sqrt a)) -1 (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (- (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a))) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (- (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a))) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (* (cbrt (- (acos a))) (/ (cbrt (- (acos a))) (sqrt a))) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (- (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (* (/ (cbrt (acos a)) (sqrt a)) (- (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (/ (sqrt (acos a)) (cbrt a))) (cbrt a)) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (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)) (cbrt (acos a))) (- (/ (cbrt (acos a)) a)) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (- (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (- (/ (sqrt (acos a)) a)) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (- (/ (/ (acos a) (cbrt a)) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) 7.092 * * * [progress]: adding candidates to table 8.013 * * [progress]: iteration 3 / 4 8.013 * * * [progress]: picking best candidate 8.088 * * * * [pick]: Picked # 8.088 * * * [progress]: localizing error 8.130 * * * [progress]: generating rewritten candidates 8.130 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.193 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.329 * * * [progress]: generating series expansions 8.329 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.329 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 8.329 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 8.329 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.329 * [taylor]: Taking taylor expansion of -1 in a 8.329 * [backup-simplify]: Simplify -1 into -1 8.329 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.329 * [taylor]: Taking taylor expansion of a in a 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 1 into 1 8.329 * [taylor]: Taking taylor expansion of (acos a) in a 8.329 * [backup-simplify]: Simplify (acos a) into (acos a) 8.330 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.330 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.330 * [taylor]: Taking taylor expansion of -1 in a 8.330 * [backup-simplify]: Simplify -1 into -1 8.330 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.330 * [taylor]: Taking taylor expansion of a in a 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 1 into 1 8.330 * [taylor]: Taking taylor expansion of (acos a) in a 8.330 * [backup-simplify]: Simplify (acos a) into (acos a) 8.330 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.330 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 8.330 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.331 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 8.332 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.333 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.335 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.336 * [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 8.338 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.339 * [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 8.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.342 * [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 8.344 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 8.345 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 8.345 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 8.345 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 8.345 * [taylor]: Taking taylor expansion of -1 in a 8.345 * [backup-simplify]: Simplify -1 into -1 8.345 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.345 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.345 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.345 * [taylor]: Taking taylor expansion of a in a 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 1 into 1 8.346 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 8.346 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 8.346 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.347 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 8.347 * [taylor]: Taking taylor expansion of -1 in a 8.347 * [backup-simplify]: Simplify -1 into -1 8.347 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.347 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.347 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.347 * [taylor]: Taking taylor expansion of a in a 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 1 into 1 8.347 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 8.347 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 8.348 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.348 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.349 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 8.349 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.349 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.350 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.352 * [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 8.352 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.354 * [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 8.354 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.357 * [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 8.357 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.359 * [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 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 8.360 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 8.360 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 8.360 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.360 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.360 * [taylor]: Taking taylor expansion of a in a 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 1 into 1 8.360 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.360 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.360 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.361 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.361 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.361 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.361 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.361 * [taylor]: Taking taylor expansion of a in a 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 1 into 1 8.361 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.361 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.361 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.362 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.362 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 8.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 8.364 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.366 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.371 * [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 8.371 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.375 * [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 8.375 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 8.378 * [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 8.378 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 8.379 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.379 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 8.379 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 8.379 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 8.379 * [taylor]: Taking taylor expansion of -1 in a 8.379 * [backup-simplify]: Simplify -1 into -1 8.379 * [taylor]: Taking taylor expansion of (acos a) in a 8.379 * [backup-simplify]: Simplify (acos a) into (acos a) 8.379 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.379 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 8.379 * [taylor]: Taking taylor expansion of -1 in a 8.379 * [backup-simplify]: Simplify -1 into -1 8.379 * [taylor]: Taking taylor expansion of (acos a) in a 8.380 * [backup-simplify]: Simplify (acos a) into (acos a) 8.380 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.380 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.380 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.393 * [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 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [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 8.393 * [backup-simplify]: Simplify 0 into 0 8.394 * [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 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.394 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 8.394 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 8.394 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 8.395 * [taylor]: Taking taylor expansion of -1 in a 8.395 * [backup-simplify]: Simplify -1 into -1 8.395 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.395 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.395 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.395 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 8.395 * [taylor]: Taking taylor expansion of -1 in a 8.395 * [backup-simplify]: Simplify -1 into -1 8.395 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.395 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.395 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.395 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.395 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.395 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [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 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [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 8.396 * [backup-simplify]: Simplify 0 into 0 8.397 * [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 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [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 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 8.398 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 8.398 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 8.398 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 8.398 * [taylor]: Taking taylor expansion of -1 in a 8.398 * [backup-simplify]: Simplify -1 into -1 8.398 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.398 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.398 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 8.398 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 8.398 * [taylor]: Taking taylor expansion of -1 in a 8.398 * [backup-simplify]: Simplify -1 into -1 8.398 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.398 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.398 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 8.398 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 8.399 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [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 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [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 8.399 * [backup-simplify]: Simplify 0 into 0 8.400 * [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 8.400 * [backup-simplify]: Simplify 0 into 0 8.400 * [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 8.400 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 8.400 * * * [progress]: simplifying candidates 8.417 * [simplify]: Simplifying: (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) 1) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) 1) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ (cbrt 1) (cbrt (- (acos a)))) (cbrt (/ 1 a))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (sqrt (/ 1 a))) (/ (/ (cbrt 1) (cbrt (- (acos a)))) (sqrt (/ 1 a))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ 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a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) a (/ (- (acos a)) a) (/ (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (- (acos a))) (/ (/ 1 (sqrt (/ 1 a))) (- (acos a))) (/ (* (cbrt a) (cbrt a)) (- (acos a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (/ (* (cbrt a) (cbrt a)) (- (acos a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (/ (* (cbrt a) (cbrt a)) (- (acos a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ 1 (- (acos a)))) a)) (/ 1 (* (sqrt (/ 1 (- (acos a)))) a)) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (sqrt (acos a)) (/ 1 a)) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (sqrt (acos a)) (/ 1 a)) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (sqrt (acos a)) (/ 1 a)) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ (/ 1 (* (acos a) (acos a))) (- (acos a))) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (/ (/ 1 (* (acos a) (acos a))) (- (acos a))) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) -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 (/ 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 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 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 (/ 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 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 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 (/ 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 (* (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 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 13.126 * * * [progress]: adding candidates to table 14.452 * * [progress]: iteration 4 / 4 14.453 * * * [progress]: picking best candidate 14.506 * * * * [pick]: Picked # 14.506 * * * [progress]: localizing error 14.530 * * * [progress]: generating rewritten candidates 14.530 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 14.573 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 14.639 * * * [progress]: generating series expansions 14.639 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 14.640 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 14.640 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 14.640 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 14.640 * [taylor]: Taking taylor expansion of -1 in a 14.640 * [backup-simplify]: Simplify -1 into -1 14.640 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 14.640 * [taylor]: Taking taylor expansion of (acos a) in a 14.640 * [backup-simplify]: Simplify (acos a) into (acos a) 14.640 * [taylor]: Taking taylor expansion of a in a 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.640 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 14.640 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 14.640 * [taylor]: Taking taylor expansion of -1 in a 14.640 * [backup-simplify]: Simplify -1 into -1 14.640 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 14.640 * [taylor]: Taking taylor expansion of (acos a) in a 14.640 * [backup-simplify]: Simplify (acos a) into (acos a) 14.640 * [taylor]: Taking taylor expansion of a in a 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.641 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 14.641 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 14.641 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 14.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 14.643 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 14.643 * [backup-simplify]: Simplify 0 into 0 14.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.645 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 14.645 * [backup-simplify]: Simplify 0 into 0 14.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 14.648 * [backup-simplify]: Simplify 0 into 0 14.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 14.653 * [backup-simplify]: Simplify 0 into 0 14.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.658 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 14.658 * [backup-simplify]: Simplify 0 into 0 14.661 * [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 14.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 14.663 * [backup-simplify]: Simplify 0 into 0 14.663 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 14.664 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* (acos (/ 1 a)) a)) 14.664 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 14.664 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 14.664 * [taylor]: Taking taylor expansion of -1 in a 14.664 * [backup-simplify]: Simplify -1 into -1 14.664 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 14.664 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 14.664 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.664 * [taylor]: Taking taylor expansion of a in a 14.664 * [backup-simplify]: Simplify 0 into 0 14.664 * [backup-simplify]: Simplify 1 into 1 14.664 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 14.664 * [taylor]: Taking taylor expansion of -1 in a 14.664 * [backup-simplify]: Simplify -1 into -1 14.664 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 14.664 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 14.664 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.664 * [taylor]: Taking taylor expansion of a in a 14.664 * [backup-simplify]: Simplify 0 into 0 14.664 * [backup-simplify]: Simplify 1 into 1 14.665 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 14.665 * [backup-simplify]: Simplify (* -1 0) into 0 14.665 * [backup-simplify]: Simplify 0 into 0 14.666 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 14.666 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 14.666 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 14.667 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 14.668 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 14.668 * [backup-simplify]: Simplify 0 into 0 14.669 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.670 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 14.670 * [backup-simplify]: Simplify 0 into 0 14.671 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.673 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 14.673 * [backup-simplify]: Simplify 0 into 0 14.674 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.676 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 14.676 * [backup-simplify]: Simplify 0 into 0 14.677 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 14.679 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 14.679 * [backup-simplify]: Simplify 0 into 0 14.681 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 14.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 14.683 * [backup-simplify]: Simplify 0 into 0 14.684 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 14.684 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 14.684 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 14.684 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 14.684 * [taylor]: Taking taylor expansion of a in a 14.684 * [backup-simplify]: Simplify 0 into 0 14.684 * [backup-simplify]: Simplify 1 into 1 14.684 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 14.684 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.684 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 14.684 * [taylor]: Taking taylor expansion of a in a 14.684 * [backup-simplify]: Simplify 0 into 0 14.684 * [backup-simplify]: Simplify 1 into 1 14.684 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 14.684 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.685 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 14.685 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 14.686 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 14.687 * [backup-simplify]: Simplify 0 into 0 14.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 14.689 * [backup-simplify]: Simplify 0 into 0 14.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 14.691 * [backup-simplify]: Simplify 0 into 0 14.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 14.693 * [backup-simplify]: Simplify 0 into 0 14.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 14.696 * [backup-simplify]: Simplify 0 into 0 14.697 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 14.697 * * * * [progress]: [ 2 / 2 ] generating series at (2) 14.697 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 14.697 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 14.697 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 14.697 * [taylor]: Taking taylor expansion of -1 in a 14.697 * [backup-simplify]: Simplify -1 into -1 14.697 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 14.697 * [taylor]: Taking taylor expansion of a in a 14.697 * [backup-simplify]: Simplify 0 into 0 14.697 * [backup-simplify]: Simplify 1 into 1 14.697 * [taylor]: Taking taylor expansion of (acos a) in a 14.697 * [backup-simplify]: Simplify (acos a) into (acos a) 14.697 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 14.697 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 14.697 * [taylor]: Taking taylor expansion of -1 in a 14.697 * [backup-simplify]: Simplify -1 into -1 14.697 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 14.697 * [taylor]: Taking taylor expansion of a in a 14.698 * [backup-simplify]: Simplify 0 into 0 14.698 * [backup-simplify]: Simplify 1 into 1 14.698 * [taylor]: Taking taylor expansion of (acos a) in a 14.698 * [backup-simplify]: Simplify (acos a) into (acos a) 14.698 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 14.698 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 14.698 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 14.698 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 14.699 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 14.699 * [backup-simplify]: Simplify 0 into 0 14.699 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 14.700 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 14.700 * [backup-simplify]: Simplify 0 into 0 14.701 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 14.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 14.702 * [backup-simplify]: Simplify 0 into 0 14.703 * [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 14.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 14.704 * [backup-simplify]: Simplify 0 into 0 14.705 * [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 14.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 14.707 * [backup-simplify]: Simplify 0 into 0 14.708 * [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 14.710 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 14.710 * [backup-simplify]: Simplify 0 into 0 14.710 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 14.710 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 14.710 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 14.710 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 14.710 * [taylor]: Taking taylor expansion of -1 in a 14.710 * [backup-simplify]: Simplify -1 into -1 14.710 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 14.710 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 14.711 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.711 * [taylor]: Taking taylor expansion of a in a 14.711 * [backup-simplify]: Simplify 0 into 0 14.711 * [backup-simplify]: Simplify 1 into 1 14.711 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 14.711 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 14.711 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 14.711 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 14.711 * [taylor]: Taking taylor expansion of -1 in a 14.711 * [backup-simplify]: Simplify -1 into -1 14.712 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 14.712 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 14.712 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.712 * [taylor]: Taking taylor expansion of a in a 14.712 * [backup-simplify]: Simplify 0 into 0 14.712 * [backup-simplify]: Simplify 1 into 1 14.712 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 14.712 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 14.712 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 14.713 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 14.713 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 14.714 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 14.714 * [backup-simplify]: Simplify 0 into 0 14.715 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.715 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 14.715 * [backup-simplify]: Simplify 0 into 0 14.716 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.717 * [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 14.717 * [backup-simplify]: Simplify 0 into 0 14.718 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.719 * [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 14.719 * [backup-simplify]: Simplify 0 into 0 14.720 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 14.721 * [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 14.721 * [backup-simplify]: Simplify 0 into 0 14.723 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 14.724 * [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 14.724 * [backup-simplify]: Simplify 0 into 0 14.724 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 14.724 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 14.725 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 14.725 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 14.725 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 14.725 * [taylor]: Taking taylor expansion of a in a 14.725 * [backup-simplify]: Simplify 0 into 0 14.725 * [backup-simplify]: Simplify 1 into 1 14.725 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 14.725 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.725 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 14.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 14.726 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 14.726 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 14.726 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 14.726 * [taylor]: Taking taylor expansion of a in a 14.726 * [backup-simplify]: Simplify 0 into 0 14.726 * [backup-simplify]: Simplify 1 into 1 14.726 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 14.726 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.726 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 14.727 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 14.727 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 14.727 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 14.728 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 14.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 14.728 * [backup-simplify]: Simplify 0 into 0 14.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 14.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 14.730 * [backup-simplify]: Simplify 0 into 0 14.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 14.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 14.732 * [backup-simplify]: Simplify 0 into 0 14.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 14.735 * [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 14.735 * [backup-simplify]: Simplify 0 into 0 14.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 14.738 * [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 14.738 * [backup-simplify]: Simplify 0 into 0 14.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 14.741 * [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 14.741 * [backup-simplify]: Simplify 0 into 0 14.742 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 14.742 * * * [progress]: simplifying candidates 14.744 * [simplify]: Simplifying: (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) (- (log 1) (log a)))) (- (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (* (- (acos a)) (/ 1 a)))) (- 0 (+ (log (- (acos a))) (- (log a)))) (- 0 (+ (log (- (acos a))) (- 0 (log a)))) (- 0 (+ (log (- (acos a))) (- (log 1) (log a)))) (- 0 (+ (log (- (acos a))) (log (/ 1 a)))) (- 0 (log (* (- (acos a)) (/ 1 a)))) (- (log 1) (+ (log (- (acos a))) (- (log a)))) (- (log 1) (+ (log (- (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 14.747 * * [simplify]: iteration 0: 125 enodes 14.849 * * [simplify]: iteration 1: 346 enodes 15.060 * * [simplify]: iteration 2: 894 enodes 16.500 * * [simplify]: iteration 3: 2568 enodes 17.816 * * [simplify]: iteration complete: 5023 enodes 17.816 * * [simplify]: Extracting #0: cost 32 inf + 0 17.819 * * [simplify]: Extracting #1: cost 809 inf + 2 17.832 * * [simplify]: Extracting #2: cost 1231 inf + 20950 17.891 * * [simplify]: Extracting #3: cost 372 inf + 212477 17.999 * * [simplify]: Extracting #4: cost 10 inf + 298353 18.182 * * [simplify]: Extracting #5: cost 1 inf + 300716 18.322 * * [simplify]: Extracting #6: cost 0 inf + 301249 18.432 * [simplify]: Simplified to: (/ (- (acos a)) a) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (- (* (/ (acos a) a) (* (/ (acos a) a) (/ (acos a) a)))) (- (* (/ (acos a) a) (* (/ (acos a) a) (/ (acos a) a)))) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (- (* (/ (acos a) a) (* (/ (acos a) a) (/ (acos a) a)))) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (* (sqrt (/ 1 a)) (sqrt (- (acos a)))) (* (sqrt (/ 1 a)) (sqrt (- (acos a)))) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (acos a) a) (* (cbrt (/ 1 a)) (* (cbrt (/ 1 a)) (- (acos a)))) (* (sqrt (/ 1 a)) (- (acos a))) (- (/ (acos a) (* (cbrt a) (cbrt a)))) (- (/ (acos a) (sqrt a))) (- (acos a)) (- (/ (acos a) (* (cbrt a) (cbrt a)))) (- (/ (acos a) (sqrt a))) (- (acos a)) (- (/ (acos a) (* (cbrt a) (cbrt a)))) (- (/ (acos a) (sqrt a))) (- (acos a)) (- (acos a)) (- (acos a)) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (/ (- (acos a)) a) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (/ (- (cbrt (acos a))) a) (/ (- (sqrt (acos a))) a) (/ (- (acos a)) a) (- (acos a)) -1 -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)))) (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)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (/ a (- (acos a))) (* (/ a (- (acos a))) (/ a (- (acos a))))) (* (/ a (- (acos a))) (* (/ a (- (acos a))) (/ a (- (acos a))))) (* (/ a (- (acos a))) (* (/ a (- (acos a))) (/ 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)))) -1 (/ (acos a) a) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 18.438 * * * [progress]: adding candidates to table 18.777 * [progress]: [Phase 3 of 3] Extracting. 18.777 * * [regime]: Finding splitpoints for: (# # # # # # #) 18.779 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 18.779 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # #) 18.867 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 18.944 * * * [regime]: Found split indices: #