21.818 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (/ a (- (acos a))) 0.043 * * [simplify]: iteration 0: 4 enodes 0.044 * * [simplify]: iteration complete: 4 enodes 0.044 * * [simplify]: Extracting #0: cost 1 inf + 0 0.044 * * [simplify]: Extracting #1: cost 3 inf + 0 0.045 * * [simplify]: Extracting #2: cost 3 inf + 1 0.045 * * [simplify]: Extracting #3: cost 0 inf + 394 0.045 * [simplify]: Simplified to: (/ a (- (acos a))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.082 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.082 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.082 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.082 * [taylor]: Taking taylor expansion of -1 in a 0.082 * [backup-simplify]: Simplify -1 into -1 0.082 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.082 * [taylor]: Taking taylor expansion of a in a 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of (acos a) in a 0.082 * [backup-simplify]: Simplify (acos a) into (acos a) 0.083 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.083 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.083 * [taylor]: Taking taylor expansion of -1 in a 0.083 * [backup-simplify]: Simplify -1 into -1 0.083 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.083 * [taylor]: Taking taylor expansion of a in a 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (acos a) in a 0.083 * [backup-simplify]: Simplify (acos a) into (acos a) 0.083 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.083 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.083 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.084 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.085 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [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 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.096 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.100 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.100 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.101 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.101 * [taylor]: Taking taylor expansion of -1 in a 0.101 * [backup-simplify]: Simplify -1 into -1 0.101 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.101 * [taylor]: Taking taylor expansion of a in a 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.101 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.101 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.102 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.102 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.102 * [taylor]: Taking taylor expansion of -1 in a 0.102 * [backup-simplify]: Simplify -1 into -1 0.102 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.102 * [taylor]: Taking taylor expansion of a in a 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.103 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.103 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.104 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.104 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.121 * [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 0.121 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) 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)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.127 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.127 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.127 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.127 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.127 * [taylor]: Taking taylor expansion of a in a 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.127 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.128 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.129 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.129 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.129 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.129 * [taylor]: Taking taylor expansion of a in a 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.129 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.129 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.130 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.130 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.140 * [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 0.140 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.144 * [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 0.144 * [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: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.153 * * [simplify]: iteration 0: 96 enodes 0.198 * * [simplify]: iteration 1: 173 enodes 0.257 * * [simplify]: iteration 2: 437 enodes 0.480 * * [simplify]: iteration 3: 1263 enodes 1.460 * * [simplify]: iteration complete: 5003 enodes 1.460 * * [simplify]: Extracting #0: cost 65 inf + 0 1.464 * * [simplify]: Extracting #1: cost 886 inf + 44 1.487 * * [simplify]: Extracting #2: cost 1709 inf + 24717 1.529 * * [simplify]: Extracting #3: cost 660 inf + 281794 1.608 * * [simplify]: Extracting #4: cost 27 inf + 412590 1.710 * * [simplify]: Extracting #5: cost 2 inf + 417927 1.786 * * [simplify]: Extracting #6: cost 0 inf + 418693 1.869 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (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) (sqrt (- (acos a)))) (cbrt 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 (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)) -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)) 1.874 * * * [progress]: adding candidates to table 2.124 * * [progress]: iteration 2 / 4 2.124 * * * [progress]: picking best candidate 2.151 * * * * [pick]: Picked # 2.151 * * * [progress]: localizing error 2.161 * * * [progress]: generating rewritten candidates 2.161 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.168 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.192 * * * [progress]: generating series expansions 2.192 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.193 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 2.193 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.193 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.193 * [taylor]: Taking taylor expansion of -1 in a 2.193 * [backup-simplify]: Simplify -1 into -1 2.193 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.193 * [taylor]: Taking taylor expansion of (acos a) in a 2.193 * [backup-simplify]: Simplify (acos a) into (acos a) 2.193 * [taylor]: Taking taylor expansion of a in a 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.193 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.193 * [taylor]: Taking taylor expansion of -1 in a 2.193 * [backup-simplify]: Simplify -1 into -1 2.193 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.193 * [taylor]: Taking taylor expansion of (acos a) in a 2.193 * [backup-simplify]: Simplify (acos a) into (acos a) 2.194 * [taylor]: Taking taylor expansion of a in a 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.194 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.194 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.221 * [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 2.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.224 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 2.225 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 2.225 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.225 * [taylor]: Taking taylor expansion of -1 in a 2.225 * [backup-simplify]: Simplify -1 into -1 2.225 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.225 * [taylor]: Taking taylor expansion of a in a 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.225 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.225 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.225 * [taylor]: Taking taylor expansion of -1 in a 2.225 * [backup-simplify]: Simplify -1 into -1 2.225 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.225 * [taylor]: Taking taylor expansion of a in a 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.225 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.226 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.226 * [backup-simplify]: Simplify (* -1 0) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.228 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 2.228 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 2.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.230 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.246 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.252 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.264 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.265 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.265 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.265 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.265 * [taylor]: Taking taylor expansion of a in a 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.265 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.265 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.265 * [taylor]: Taking taylor expansion of a in a 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.265 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.266 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.267 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 2.281 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.281 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 2.281 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.281 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.281 * [taylor]: Taking taylor expansion of -1 in a 2.281 * [backup-simplify]: Simplify -1 into -1 2.281 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.281 * [taylor]: Taking taylor expansion of a in a 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [taylor]: Taking taylor expansion of (acos a) in a 2.282 * [backup-simplify]: Simplify (acos a) into (acos a) 2.282 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.282 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.282 * [taylor]: Taking taylor expansion of -1 in a 2.282 * [backup-simplify]: Simplify -1 into -1 2.282 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.282 * [taylor]: Taking taylor expansion of a in a 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [taylor]: Taking taylor expansion of (acos a) in a 2.282 * [backup-simplify]: Simplify (acos a) into (acos a) 2.282 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.282 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.282 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.283 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.284 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.285 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.288 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [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 2.291 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.292 * [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 2.294 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.295 * [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 2.298 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.299 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 2.299 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 2.299 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.299 * [taylor]: Taking taylor expansion of -1 in a 2.299 * [backup-simplify]: Simplify -1 into -1 2.299 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.299 * [taylor]: Taking taylor expansion of a in a 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.299 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.300 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.301 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.301 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.301 * [taylor]: Taking taylor expansion of -1 in a 2.301 * [backup-simplify]: Simplify -1 into -1 2.301 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.301 * [taylor]: Taking taylor expansion of a in a 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.301 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.301 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.302 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.302 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.304 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.310 * [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 2.310 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.314 * [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 2.314 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.318 * [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 2.318 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.323 * [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 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.323 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.323 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.323 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.323 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.323 * [taylor]: Taking taylor expansion of a in a 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.324 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.324 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.325 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.325 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.325 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.325 * [taylor]: Taking taylor expansion of a in a 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.325 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.325 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.326 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.326 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.334 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.337 * [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 2.337 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.341 * [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 2.342 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.346 * [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 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.347 * * * [progress]: simplifying candidates 2.354 * [simplify]: Simplifying: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) 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(cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt 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)) (/ (* (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)) (/ (* (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 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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 (* (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 (/ (* (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))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 2.359 * * [simplify]: iteration 0: 292 enodes 2.538 * * [simplify]: iteration 1: 774 enodes 2.906 * * [simplify]: iteration 2: 2016 enodes 4.499 * * [simplify]: iteration 3: 4741 enodes 5.516 * * [simplify]: iteration complete: 5020 enodes 5.516 * * [simplify]: Extracting #0: cost 117 inf + 0 5.519 * * [simplify]: Extracting #1: cost 654 inf + 643 5.535 * * [simplify]: Extracting #2: cost 699 inf + 63005 5.574 * * [simplify]: Extracting #3: cost 125 inf + 206535 5.628 * * [simplify]: Extracting #4: cost 1 inf + 236148 5.682 * * [simplify]: Extracting #5: cost 0 inf + 236520 5.756 * [simplify]: Simplified to: (expm1 (- (/ (acos a) a))) (log1p (- (/ (acos a) 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))) (cbrt (acos a))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (* (- (cbrt (acos a))) (cbrt (acos a))) (/ (cbrt (acos a)) a) (- (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ (/ -1 (cbrt a)) (cbrt a)) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (cbrt (acos a)) (cbrt 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 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))) (expm1 (/ (- a) (acos a))) (log1p (/ (- a) (acos a))) -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 a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (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) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (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)))) (/ (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) (sqrt (acos a))) (/ (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)) 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 a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (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) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (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)))) (/ (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) (sqrt (acos a))) (/ (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)) 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 a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (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) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* (- (cbrt a)) (cbrt a)) (/ (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)))) (/ (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) (sqrt (acos a))) (/ (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)) 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 a) (cbrt (- (acos a))))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (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) (- (sqrt (acos a)))) (cbrt a)) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (* (- (cbrt a)) (cbrt a)) (- (sqrt a)) -1 (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 5.779 * * * [progress]: adding candidates to table 6.513 * * [progress]: iteration 3 / 4 6.514 * * * [progress]: picking best candidate 6.563 * * * * [pick]: Picked # 6.563 * * * [progress]: localizing error 6.574 * * * [progress]: generating rewritten candidates 6.574 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.608 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.698 * * * [progress]: generating series expansions 6.698 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.698 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 6.698 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 6.698 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 6.698 * [taylor]: Taking taylor expansion of -1 in a 6.698 * [backup-simplify]: Simplify -1 into -1 6.698 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 6.698 * [taylor]: Taking taylor expansion of a in a 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [taylor]: Taking taylor expansion of (acos a) in a 6.698 * [backup-simplify]: Simplify (acos a) into (acos a) 6.698 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 6.698 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 6.698 * [taylor]: Taking taylor expansion of -1 in a 6.698 * [backup-simplify]: Simplify -1 into -1 6.698 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 6.698 * [taylor]: Taking taylor expansion of a in a 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [taylor]: Taking taylor expansion of (acos a) in a 6.698 * [backup-simplify]: Simplify (acos a) into (acos a) 6.698 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 6.699 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 6.699 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 6.699 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 6.700 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 6.701 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 6.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 6.702 * [backup-simplify]: Simplify 0 into 0 6.702 * [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 6.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [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 6.706 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [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 6.708 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 6.709 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 6.709 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 6.709 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 6.709 * [taylor]: Taking taylor expansion of -1 in a 6.709 * [backup-simplify]: Simplify -1 into -1 6.709 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 6.709 * [taylor]: Taking taylor expansion of a in a 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.709 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 6.709 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 6.709 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 6.709 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.709 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 6.709 * [taylor]: Taking taylor expansion of -1 in a 6.710 * [backup-simplify]: Simplify -1 into -1 6.710 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 6.710 * [taylor]: Taking taylor expansion of a in a 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 1 into 1 6.710 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.710 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 6.710 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 6.710 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 6.710 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.710 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 6.711 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 6.713 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 6.713 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 6.715 * [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 6.716 * [backup-simplify]: Simplify 0 into 0 6.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 6.719 * [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 6.719 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 6.723 * [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 6.723 * [backup-simplify]: Simplify 0 into 0 6.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 6.728 * [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 6.728 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 6.729 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 6.729 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 6.729 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 6.729 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 6.729 * [taylor]: Taking taylor expansion of a in a 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify 1 into 1 6.729 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.729 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.729 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 6.730 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 6.730 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 6.731 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 6.731 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 6.731 * [taylor]: Taking taylor expansion of a in a 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify 1 into 1 6.731 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.731 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.731 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 6.732 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 6.732 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 6.732 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 6.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 6.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 6.734 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 6.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 6.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 6.752 * [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 6.752 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 6.756 * [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 6.756 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 6.760 * [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 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 6.761 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.761 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 6.761 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 6.761 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 6.761 * [taylor]: Taking taylor expansion of -1 in a 6.761 * [backup-simplify]: Simplify -1 into -1 6.761 * [taylor]: Taking taylor expansion of (acos a) in a 6.761 * [backup-simplify]: Simplify (acos a) into (acos a) 6.762 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 6.762 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 6.762 * [taylor]: Taking taylor expansion of -1 in a 6.762 * [backup-simplify]: Simplify -1 into -1 6.762 * [taylor]: Taking taylor expansion of (acos a) in a 6.762 * [backup-simplify]: Simplify (acos a) into (acos a) 6.762 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 6.762 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 6.762 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 6.763 * [backup-simplify]: Simplify 0 into 0 6.764 * [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 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [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 6.764 * [backup-simplify]: Simplify 0 into 0 6.765 * [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 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 6.765 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 6.765 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 6.765 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 6.765 * [taylor]: Taking taylor expansion of -1 in a 6.765 * [backup-simplify]: Simplify -1 into -1 6.765 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.765 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 6.766 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.766 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 6.766 * [taylor]: Taking taylor expansion of -1 in a 6.766 * [backup-simplify]: Simplify -1 into -1 6.766 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.766 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 6.766 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.766 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.766 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 6.766 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [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 6.767 * [backup-simplify]: Simplify 0 into 0 6.768 * [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 6.768 * [backup-simplify]: Simplify 0 into 0 6.769 * [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 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [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 6.769 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 6.770 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 6.770 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 6.770 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 6.770 * [taylor]: Taking taylor expansion of -1 in a 6.770 * [backup-simplify]: Simplify -1 into -1 6.770 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.770 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.770 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 6.770 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 6.770 * [taylor]: Taking taylor expansion of -1 in a 6.770 * [backup-simplify]: Simplify -1 into -1 6.770 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.770 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.770 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 6.771 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 6.771 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 6.771 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 6.771 * [backup-simplify]: Simplify 0 into 0 6.772 * [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 6.772 * [backup-simplify]: Simplify 0 into 0 6.773 * [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 6.773 * [backup-simplify]: Simplify 0 into 0 6.773 * [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 6.773 * [backup-simplify]: Simplify 0 into 0 6.774 * [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 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 6.774 * * * [progress]: simplifying candidates 6.794 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 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)) (* 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a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos 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 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos 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 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos 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 (- (acos a))) (sqrt (/ 1 a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) (/ (/ 1 a) (sqrt (/ 1 (- (acos a))))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (/ (* 1 (acos a)) a) (* (cbrt (acos a)) (/ 1 a)) (* (/ 1 a) (sqrt (acos a))) (/ (* 1 (acos a)) a) (- (* (cbrt (acos a)) (/ 1 a))) (- (* (/ 1 a) (sqrt (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (/ (* 1 (acos a)) a) (* (cbrt (acos a)) (/ 1 a)) (* (/ 1 a) (sqrt (acos a))) (/ (* 1 (acos a)) a) (- (* (cbrt (acos a)) (/ 1 a))) (- (* (/ 1 a) (sqrt (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (/ (* 1 (acos a)) a) (* (cbrt (acos a)) (/ 1 a)) (* (/ 1 a) (sqrt (acos a))) (/ (* 1 (acos a)) a) (- (* (cbrt (acos a)) (/ 1 a))) (- (* (/ 1 a) (sqrt (acos a)))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (expm1 (/ 1 (- (acos a)))) (log1p (/ 1 (- (acos 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))) (/ 1 (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))) (/ 1 (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))) (/ 1 (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))) (/ 1 (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)) 10.610 * * * [progress]: adding candidates to table 11.804 * * [progress]: iteration 4 / 4 11.804 * * * [progress]: picking best candidate 11.828 * * * * [pick]: Picked # 11.828 * * * [progress]: localizing error 11.849 * * * [progress]: generating rewritten candidates 11.849 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 11.856 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 11.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.916 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 11.972 * * * [progress]: generating series expansions 11.972 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 11.972 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) into (/ (cbrt -1) (acos a)) 11.972 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in (a) around 0 11.972 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 11.972 * [taylor]: Taking taylor expansion of (cbrt -1) in a 11.972 * [taylor]: Taking taylor expansion of -1 in a 11.972 * [backup-simplify]: Simplify -1 into -1 11.973 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.974 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.974 * [taylor]: Taking taylor expansion of (acos a) in a 11.974 * [backup-simplify]: Simplify (acos a) into (acos a) 11.975 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 11.975 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 11.975 * [taylor]: Taking taylor expansion of (cbrt -1) in a 11.975 * [taylor]: Taking taylor expansion of -1 in a 11.975 * [backup-simplify]: Simplify -1 into -1 11.975 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.976 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.976 * [taylor]: Taking taylor expansion of (acos a) in a 11.976 * [backup-simplify]: Simplify (acos a) into (acos a) 11.976 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 11.977 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 11.977 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 11.977 * [backup-simplify]: Simplify 0 into 0 11.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.980 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.980 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.982 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.982 * [backup-simplify]: Simplify 0 into 0 11.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.984 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.984 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.986 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.986 * [backup-simplify]: Simplify 0 into 0 11.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.989 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -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 11.989 * [backup-simplify]: Simplify 0 into 0 11.989 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 11.990 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a)))))) into (/ (cbrt -1) (acos (/ 1 a))) 11.990 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in (a) around 0 11.990 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 11.990 * [taylor]: Taking taylor expansion of (cbrt -1) in a 11.990 * [taylor]: Taking taylor expansion of -1 in a 11.990 * [backup-simplify]: Simplify -1 into -1 11.990 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.991 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.991 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.991 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.991 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 11.991 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 11.991 * [taylor]: Taking taylor expansion of (cbrt -1) in a 11.991 * [taylor]: Taking taylor expansion of -1 in a 11.991 * [backup-simplify]: Simplify -1 into -1 11.992 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.992 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.992 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.993 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.993 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 11.993 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 11.994 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 11.994 * [backup-simplify]: Simplify 0 into 0 11.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.996 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.996 * [backup-simplify]: Simplify 0 into 0 11.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.998 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.998 * [backup-simplify]: Simplify 0 into 0 11.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.000 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 12.000 * [backup-simplify]: Simplify 0 into 0 12.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.002 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 12.002 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.005 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) into (/ (cbrt -1) (acos a)) 12.006 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) (acos (/ 1 (- a))))))) into (/ (cbrt -1) (acos (/ -1 a))) 12.006 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in (a) around 0 12.006 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 12.006 * [taylor]: Taking taylor expansion of (cbrt -1) in a 12.006 * [taylor]: Taking taylor expansion of -1 in a 12.006 * [backup-simplify]: Simplify -1 into -1 12.006 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.007 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.007 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 12.007 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 12.007 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 12.007 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 12.007 * [taylor]: Taking taylor expansion of (cbrt -1) in a 12.007 * [taylor]: Taking taylor expansion of -1 in a 12.007 * [backup-simplify]: Simplify -1 into -1 12.008 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.008 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.008 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 12.009 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 12.009 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 12.010 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 12.010 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 12.010 * [backup-simplify]: Simplify 0 into 0 12.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.012 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 12.012 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.015 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 12.015 * [backup-simplify]: Simplify 0 into 0 12.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.019 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 12.019 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.021 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 12.021 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.023 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 12.023 * [backup-simplify]: Simplify 0 into 0 12.024 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 (/ 1 (- a))))) into (/ (cbrt -1) (acos a)) 12.024 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 12.024 * [backup-simplify]: Simplify (* (* (acos a) (acos a)) (acos a)) into (pow (acos a) 3) 12.024 * [approximate]: Taking taylor expansion of (pow (acos a) 3) in (a) around 0 12.024 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 12.024 * [taylor]: Taking taylor expansion of (acos a) in a 12.024 * [backup-simplify]: Simplify (acos a) into (acos a) 12.024 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 12.024 * [taylor]: Taking taylor expansion of (acos a) in a 12.024 * [backup-simplify]: Simplify (acos a) into (acos a) 12.025 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 12.025 * [backup-simplify]: Simplify (* (acos a) (pow (acos a) 2)) into (pow (acos a) 3) 12.025 * [backup-simplify]: Simplify (pow (acos a) 3) into (pow (acos a) 3) 12.025 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (acos a))) into 0 12.025 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (pow (acos a) 2))) into 0 12.025 * [backup-simplify]: Simplify 0 into 0 12.026 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (acos a)))) into 0 12.027 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))) into 0 12.027 * [backup-simplify]: Simplify 0 into 0 12.028 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 12.029 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2))))) into 0 12.029 * [backup-simplify]: Simplify 0 into 0 12.031 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 12.032 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))))) into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.034 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 12.036 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2))))))) into 0 12.036 * [backup-simplify]: Simplify 0 into 0 12.039 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 12.041 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))))))) into 0 12.041 * [backup-simplify]: Simplify 0 into 0 12.041 * [backup-simplify]: Simplify (pow (acos a) 3) into (pow (acos a) 3) 12.041 * [backup-simplify]: Simplify (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 3) 12.041 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in (a) around 0 12.041 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 12.041 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 12.042 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 12.042 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 12.042 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 12.042 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 12.042 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 12.042 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (pow (acos (/ 1 a)) 2)) into (pow (acos (/ 1 a)) 3) 12.042 * [backup-simplify]: Simplify (pow (acos (/ 1 a)) 3) into (pow (acos (/ 1 a)) 3) 12.042 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (acos (/ 1 a)))) into 0 12.042 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (pow (acos (/ 1 a)) 2))) into 0 12.042 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))) into 0 12.044 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))) into 0 12.044 * [backup-simplify]: Simplify 0 into 0 12.044 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 12.045 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2))))) into 0 12.045 * [backup-simplify]: Simplify 0 into 0 12.046 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 12.047 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))))) into 0 12.048 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 12.050 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2))))))) into 0 12.050 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 12.053 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))))))) into 0 12.053 * [backup-simplify]: Simplify 0 into 0 12.054 * [backup-simplify]: Simplify (pow (acos (/ 1 (/ 1 a))) 3) into (pow (acos a) 3) 12.054 * [backup-simplify]: Simplify (* (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) (acos (/ 1 (- a)))) into (pow (acos (/ -1 a)) 3) 12.054 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in (a) around 0 12.054 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 12.054 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 12.054 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 12.054 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 12.054 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 12.054 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 12.054 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (acos (/ -1 a))) into (pow (acos (/ -1 a)) 2) 12.054 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (pow (acos (/ -1 a)) 2)) into (pow (acos (/ -1 a)) 3) 12.054 * [backup-simplify]: Simplify (pow (acos (/ -1 a)) 3) into (pow (acos (/ -1 a)) 3) 12.055 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (acos (/ -1 a)))) into 0 12.055 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (pow (acos (/ -1 a)) 2))) into 0 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))) into 0 12.056 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))) into 0 12.056 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 12.058 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2))))) into 0 12.058 * [backup-simplify]: Simplify 0 into 0 12.059 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 12.060 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))))) into 0 12.060 * [backup-simplify]: Simplify 0 into 0 12.061 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 12.062 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2))))))) into 0 12.063 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 12.066 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))))))) into 0 12.066 * [backup-simplify]: Simplify 0 into 0 12.066 * [backup-simplify]: Simplify (pow (acos (/ -1 (/ 1 (- a)))) 3) into (pow (acos a) 3) 12.066 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.066 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (/ 1 a)) into (/ (* (cbrt -1) a) (acos a)) 12.066 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in (a) around 0 12.066 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 12.066 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 12.066 * [taylor]: Taking taylor expansion of (cbrt -1) in a 12.066 * [taylor]: Taking taylor expansion of -1 in a 12.066 * [backup-simplify]: Simplify -1 into -1 12.067 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.073 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.073 * [taylor]: Taking taylor expansion of a in a 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify 1 into 1 12.073 * [taylor]: Taking taylor expansion of (acos a) in a 12.073 * [backup-simplify]: Simplify (acos a) into (acos a) 12.074 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 12.076 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 12.076 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 12.077 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 12.077 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 12.077 * [taylor]: Taking taylor expansion of (cbrt -1) in a 12.077 * [taylor]: Taking taylor expansion of -1 in a 12.077 * [backup-simplify]: Simplify -1 into -1 12.077 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.078 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.078 * [taylor]: Taking taylor expansion of a in a 12.078 * [backup-simplify]: Simplify 0 into 0 12.078 * [backup-simplify]: Simplify 1 into 1 12.078 * [taylor]: Taking taylor expansion of (acos a) in a 12.078 * [backup-simplify]: Simplify (acos a) into (acos a) 12.078 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 12.080 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 12.080 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 12.081 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 12.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.083 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 12.083 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 12.083 * [backup-simplify]: Simplify 0 into 0 12.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.085 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.086 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 12.086 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.089 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.089 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 12.090 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.092 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.093 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 12.093 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.095 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.096 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 12.096 * [backup-simplify]: Simplify 0 into 0 12.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.099 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.100 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -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 12.100 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos a)) a) into (/ (* (cbrt -1) a) (acos a)) 12.101 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a)))))) (/ 1 (/ 1 a))) into (/ (cbrt -1) (* a (acos (/ 1 a)))) 12.101 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in (a) around 0 12.101 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in a 12.101 * [taylor]: Taking taylor expansion of (cbrt -1) in a 12.101 * [taylor]: Taking taylor expansion of -1 in a 12.101 * [backup-simplify]: Simplify -1 into -1 12.102 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.102 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.102 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 12.102 * [taylor]: Taking taylor expansion of a in a 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.102 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 12.102 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 12.102 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 12.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 12.103 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 12.103 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in a 12.103 * [taylor]: Taking taylor expansion of (cbrt -1) in a 12.103 * [taylor]: Taking taylor expansion of -1 in a 12.103 * [backup-simplify]: Simplify -1 into -1 12.104 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.104 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.104 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 12.104 * [taylor]: Taking taylor expansion of a in a 12.104 * [backup-simplify]: Simplify 0 into 0 12.104 * [backup-simplify]: Simplify 1 into 1 12.104 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 12.105 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 12.105 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 12.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 12.105 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 12.106 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 12.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 12.107 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 12.107 * [backup-simplify]: Simplify 0 into 0 12.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 12.110 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 12.110 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 12.113 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 12.113 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 12.118 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 12.118 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 12.122 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 12.122 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 12.128 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 12.128 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (/ (* (cbrt -1) a) (acos a)) 12.129 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) (acos (/ 1 (- a))))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) 12.129 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in (a) around 0 12.129 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in a 12.129 * [taylor]: Taking taylor expansion of -1 in a 12.129 * [backup-simplify]: Simplify -1 into -1 12.129 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ -1 a)))) in a 12.129 * [taylor]: Taking taylor expansion of (cbrt -1) in a 12.129 * [taylor]: Taking taylor expansion of -1 in a 12.129 * [backup-simplify]: Simplify -1 into -1 12.130 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.130 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.130 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 12.131 * [taylor]: Taking taylor expansion of a in a 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 1 into 1 12.131 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 12.131 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 12.131 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 12.131 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 12.132 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 12.132 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in a 12.132 * [taylor]: Taking taylor expansion of -1 in a 12.132 * [backup-simplify]: Simplify -1 into -1 12.132 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ -1 a)))) in a 12.132 * [taylor]: Taking taylor expansion of (cbrt -1) in a 12.132 * [taylor]: Taking taylor expansion of -1 in a 12.132 * [backup-simplify]: Simplify -1 into -1 12.132 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.133 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.133 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 12.133 * [taylor]: Taking taylor expansion of a in a 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.133 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 12.133 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 12.133 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 12.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 12.134 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 12.134 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 12.135 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 12.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 12.136 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 12.137 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))) into 0 12.137 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 12.141 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 12.142 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))) into 0 12.142 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 12.145 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 12.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))) into 0 12.146 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 12.150 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 12.152 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))) into 0 12.152 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 12.155 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 12.157 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))))) into 0 12.157 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 12.162 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 12.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))))) into 0 12.166 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify (* (* -1 (/ (cbrt -1) (acos (/ -1 (/ 1 (- a)))))) (/ 1 (/ 1 (- a)))) into (/ (* (cbrt -1) a) (acos a)) 12.167 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 12.167 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 12.167 * [approximate]: Taking taylor expansion of (pow (acos a) 2) in (a) around 0 12.167 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 12.167 * [taylor]: Taking taylor expansion of (acos a) in a 12.167 * [backup-simplify]: Simplify (acos a) into (acos a) 12.167 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 12.167 * [taylor]: Taking taylor expansion of (acos a) in a 12.167 * [backup-simplify]: Simplify (acos a) into (acos a) 12.168 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 12.168 * [backup-simplify]: Simplify (pow (acos a) 2) into (pow (acos a) 2) 12.168 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (acos a))) into 0 12.168 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (acos a)))) into 0 12.169 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 12.170 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 12.172 * [backup-simplify]: Simplify 0 into 0 12.174 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 12.174 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify (pow (acos a) 2) into (pow (acos a) 2) 12.175 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 12.176 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in (a) around 0 12.176 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 12.176 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 12.176 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 12.176 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 12.176 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 12.176 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 12.176 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 12.176 * [backup-simplify]: Simplify (pow (acos (/ 1 a)) 2) into (pow (acos (/ 1 a)) 2) 12.176 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (acos (/ 1 a)))) into 0 12.176 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))) into 0 12.177 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 12.178 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 12.179 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 12.180 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 12.182 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify (pow (acos (/ 1 (/ 1 a))) 2) into (pow (acos a) 2) 12.182 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) into (pow (acos (/ -1 a)) 2) 12.182 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in (a) around 0 12.182 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 12.182 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 12.183 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 12.183 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 12.183 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 12.183 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 12.183 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (acos (/ -1 a))) into (pow (acos (/ -1 a)) 2) 12.183 * [backup-simplify]: Simplify (pow (acos (/ -1 a)) 2) into (pow (acos (/ -1 a)) 2) 12.183 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (acos (/ -1 a)))) into 0 12.183 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))) into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 12.186 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 12.187 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify (pow (acos (/ -1 (/ 1 (- a)))) 2) into (pow (acos a) 2) 12.190 * * * [progress]: simplifying candidates 12.209 * [simplify]: Simplifying: (expm1 (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (log1p (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (log (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (exp (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (* (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (sqrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (sqrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* (* (acos a) (acos a)) (acos a)))) (cbrt (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (/ (cbrt 1) (cbrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (cbrt 1) (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) -1)) (cbrt (/ (cbrt 1) (* (* (acos a) (acos a)) (acos a)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (- (* (acos a) (acos a))))) (cbrt (/ (cbrt 1) (acos a))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (acos a) (acos a)))) (cbrt (/ (cbrt 1) (- (acos a)))) (cbrt (/ (sqrt 1) (* (cbrt (- (* (* (acos a) (acos a)) (acos a)))) (cbrt (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (/ (sqrt 1) (cbrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (sqrt 1) (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (sqrt 1) (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (sqrt 1) 1)) (cbrt (/ (sqrt 1) (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ (sqrt 1) -1)) (cbrt (/ (sqrt 1) (* (* (acos a) (acos a)) (acos a)))) (cbrt (/ (sqrt 1) (- (* (acos a) (acos a))))) (cbrt (/ (sqrt 1) (acos a))) (cbrt (/ (sqrt 1) (* (acos a) (acos a)))) (cbrt (/ (sqrt 1) (- (acos a)))) (cbrt (/ 1 (* (cbrt (- (* (* (acos a) (acos a)) (acos a)))) (cbrt (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (/ 1 (cbrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ 1 (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ 1 (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ 1 1)) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ 1 -1)) (cbrt (/ 1 (* (* (acos a) (acos a)) (acos a)))) (cbrt (/ 1 (- (* (acos a) (acos a))))) (cbrt (/ 1 (acos a))) (cbrt (/ 1 (* (acos a) (acos a)))) (cbrt (/ 1 (- (acos a)))) (cbrt 1) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt 1) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt 1) (cbrt (- (* (* (acos a) (acos a)) (acos a)))) (* (cbrt (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (* (* (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (sqrt (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (sqrt (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (expm1 (* (* (acos a) (acos a)) (acos a))) (log1p (* (* (acos a) (acos a)) (acos a))) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (acos a)) (log (acos a))) (log (acos a))) (+ (log (* (acos a) (acos a))) (log (acos a))) (log (* (* (acos a) (acos a)) (acos a))) (exp (* (* (acos a) (acos a)) (acos a))) (* (* (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a))) (* (* (acos a) (acos a)) (acos a))) (* (* (* (* (acos a) (acos a)) (* (acos a) (acos a))) (* (acos a) (acos a))) (* (* (acos a) (acos a)) (acos a))) (* (cbrt (* (* (acos a) (acos a)) (acos a))) (cbrt (* (* (acos a) (acos a)) (acos a)))) (cbrt (* (* (acos a) (acos a)) (acos a))) (* (* (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a))) (* (* (acos a) (acos a)) (acos a))) (sqrt (* (* (acos a) (acos a)) (acos a))) (sqrt (* (* (acos a) (acos a)) (acos a))) (* (acos a) (sqrt (acos a))) (* (acos a) (sqrt (acos a))) (* (* (acos a) (acos a)) (* 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a))) (* 1 1) (* (acos a) (acos a)) (* (sqrt (acos a)) (sqrt (acos a))) (* (sqrt (acos a)) (sqrt (acos a))) (* 2 1) (* (acos a) (* (cbrt (acos a)) (cbrt (acos a)))) (* (acos a) (sqrt (acos a))) (* (acos a) 1) (* (cbrt (acos a)) (acos a)) (* (sqrt (acos a)) (acos a)) (* (acos a) (acos a)) (/ (cbrt -1) (acos a)) (/ (cbrt -1) (acos a)) (/ (cbrt -1) (acos a)) (pow (acos a) 3) (pow (acos a) 3) (pow (acos a) 3) (/ (* (cbrt -1) a) (acos a)) (/ (* (cbrt -1) a) (acos a)) (/ (* (cbrt -1) a) (acos a)) (pow (acos a) 2) (pow (acos a) 2) (pow (acos a) 2) 12.233 * * [simplify]: iteration 0: 732 enodes 12.804 * * [simplify]: iteration 1: 1805 enodes 14.169 * * [simplify]: iteration 2: 2996 enodes 15.114 * * [simplify]: iteration complete: 5000 enodes 15.115 * * [simplify]: Extracting #0: cost 159 inf + 0 15.117 * * [simplify]: Extracting #1: cost 780 inf + 1060 15.124 * * [simplify]: Extracting #2: cost 919 inf + 26863 15.147 * * [simplify]: Extracting #3: cost 567 inf + 136954 15.207 * * [simplify]: Extracting #4: cost 196 inf + 292110 15.274 * * [simplify]: Extracting #5: cost 9 inf + 390029 15.351 * * [simplify]: Extracting #6: cost 0 inf + 395697 15.417 * [simplify]: Simplified to: (expm1 (cbrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))))) (log1p (cbrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))))) (log (cbrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))))) (exp (cbrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))))) (cbrt (* (cbrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a)))) (cbrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a)))))) (cbrt (cbrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))))) (cbrt (sqrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))))) (cbrt (sqrt (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))))) (cbrt (* (/ 1 (cbrt (* (* (acos a) (acos a)) (- (acos a))))) (/ 1 (cbrt (* (* (acos a) (acos a)) (- (acos a))))))) (cbrt (/ 1 (cbrt (* (* (acos a) (acos a)) (- (acos a)))))) (cbrt (/ 1 (sqrt (* (* (acos a) (acos a)) (- (acos a)))))) (cbrt (/ 1 (sqrt (* (* (acos a) (acos a)) (- (acos 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