59.108 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (/ a (- (acos a))) 0.025 * * [simplify]: iteration 0: 4 enodes 0.025 * * [simplify]: iteration complete: 4 enodes 0.026 * * [simplify]: Extracting #0: cost 1 inf + 0 0.026 * * [simplify]: Extracting #1: cost 3 inf + 0 0.026 * * [simplify]: Extracting #2: cost 3 inf + 1 0.026 * * [simplify]: Extracting #3: cost 0 inf + 394 0.026 * [simplify]: Simplified to: (/ a (- (acos a))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.062 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.062 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.062 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.062 * [taylor]: Taking taylor expansion of -1 in a 0.062 * [backup-simplify]: Simplify -1 into -1 0.062 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.062 * [taylor]: Taking taylor expansion of a in a 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of (acos a) in a 0.074 * [backup-simplify]: Simplify (acos a) into (acos a) 0.074 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.074 * [taylor]: Taking taylor expansion of -1 in a 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.074 * [taylor]: Taking taylor expansion of a in a 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (acos a) in a 0.074 * [backup-simplify]: Simplify (acos a) into (acos a) 0.075 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.075 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.075 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.075 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.084 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [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 0.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.092 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.092 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.092 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.092 * [taylor]: Taking taylor expansion of -1 in a 0.092 * [backup-simplify]: Simplify -1 into -1 0.092 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.092 * [taylor]: Taking taylor expansion of a in a 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.092 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.093 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.093 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.093 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.093 * [taylor]: Taking taylor expansion of -1 in a 0.093 * [backup-simplify]: Simplify -1 into -1 0.093 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.093 * [taylor]: Taking taylor expansion of a in a 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.094 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.094 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.094 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.095 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.096 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.101 * [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 0.101 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.104 * [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 0.104 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.107 * [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 0.107 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.111 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.111 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.112 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.112 * [taylor]: Taking taylor expansion of a in a 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.112 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.112 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.113 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.113 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.113 * [taylor]: Taking taylor expansion of a in a 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.113 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.113 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.114 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.114 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.123 * [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 0.123 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.126 * [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 0.126 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.131 * * * [progress]: simplifying candidates 0.133 * [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))) 0.135 * * [simplify]: iteration 0: 96 enodes 0.172 * * [simplify]: iteration 1: 173 enodes 0.228 * * [simplify]: iteration 2: 466 enodes 0.497 * * [simplify]: iteration 3: 2093 enodes 1.379 * * [simplify]: iteration complete: 5000 enodes 1.380 * * [simplify]: Extracting #0: cost 65 inf + 0 1.383 * * [simplify]: Extracting #1: cost 663 inf + 44 1.393 * * [simplify]: Extracting #2: cost 1308 inf + 12084 1.440 * * [simplify]: Extracting #3: cost 640 inf + 213544 1.530 * * [simplify]: Extracting #4: cost 41 inf + 343143 1.601 * * [simplify]: Extracting #5: cost 4 inf + 354388 1.662 * * [simplify]: Extracting #6: cost 0 inf + 355660 1.719 * [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 (acos a))) (cbrt 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) (sqrt (acos a))) (cbrt 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))) 1.724 * * * [progress]: adding candidates to table 2.019 * * [progress]: iteration 2 / 4 2.019 * * * [progress]: picking best candidate 2.049 * * * * [pick]: Picked # 2.049 * * * [progress]: localizing error 2.068 * * * [progress]: generating rewritten candidates 2.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.092 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.112 * * * [progress]: generating series expansions 2.112 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.112 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 2.112 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.112 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.112 * [taylor]: Taking taylor expansion of -1 in a 2.112 * [backup-simplify]: Simplify -1 into -1 2.112 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.112 * [taylor]: Taking taylor expansion of a in a 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [taylor]: Taking taylor expansion of (acos a) in a 2.112 * [backup-simplify]: Simplify (acos a) into (acos a) 2.112 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.112 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.112 * [taylor]: Taking taylor expansion of -1 in a 2.112 * [backup-simplify]: Simplify -1 into -1 2.112 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.112 * [taylor]: Taking taylor expansion of a in a 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [taylor]: Taking taylor expansion of (acos a) in a 2.112 * [backup-simplify]: Simplify (acos a) into (acos a) 2.113 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.113 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.113 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.113 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.114 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.116 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [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 2.117 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [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 2.119 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [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 2.121 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.121 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 2.121 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 2.121 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.121 * [taylor]: Taking taylor expansion of -1 in a 2.121 * [backup-simplify]: Simplify -1 into -1 2.121 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.121 * [taylor]: Taking taylor expansion of a in a 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.121 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.121 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.122 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.122 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.122 * [taylor]: Taking taylor expansion of -1 in a 2.122 * [backup-simplify]: Simplify -1 into -1 2.122 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.122 * [taylor]: Taking taylor expansion of a in a 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.122 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.122 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.122 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.123 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.123 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.126 * [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)))))) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.128 * [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 2.128 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.131 * [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 2.131 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.135 * [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 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.135 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.135 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.136 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.136 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.136 * [taylor]: Taking taylor expansion of a in a 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.136 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.136 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.137 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.137 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.137 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.137 * [taylor]: Taking taylor expansion of a in a 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.137 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.137 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.138 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.138 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.142 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.143 * [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 2.143 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.145 * [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 2.145 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.147 * [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 2.147 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.148 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.148 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 2.148 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.148 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.148 * [taylor]: Taking taylor expansion of -1 in a 2.148 * [backup-simplify]: Simplify -1 into -1 2.148 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.148 * [taylor]: Taking taylor expansion of (acos a) in a 2.148 * [backup-simplify]: Simplify (acos a) into (acos a) 2.148 * [taylor]: Taking taylor expansion of a in a 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.148 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.148 * [taylor]: Taking taylor expansion of -1 in a 2.148 * [backup-simplify]: Simplify -1 into -1 2.148 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.148 * [taylor]: Taking taylor expansion of (acos a) in a 2.148 * [backup-simplify]: Simplify (acos a) into (acos a) 2.148 * [taylor]: Taking taylor expansion of a in a 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.148 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.148 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.166 * [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 2.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.168 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 2.168 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 2.168 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.168 * [taylor]: Taking taylor expansion of -1 in a 2.168 * [backup-simplify]: Simplify -1 into -1 2.168 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.168 * [taylor]: Taking taylor expansion of a in a 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.169 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.169 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.169 * [taylor]: Taking taylor expansion of -1 in a 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.169 * [taylor]: Taking taylor expansion of a in a 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.169 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.169 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.170 * [backup-simplify]: Simplify (* -1 0) into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.171 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 2.171 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 2.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.172 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.181 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.191 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.191 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.191 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.191 * [taylor]: Taking taylor expansion of a in a 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.191 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.191 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.191 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.191 * [taylor]: Taking taylor expansion of a in a 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.191 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.191 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.192 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.192 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 2.200 * * * [progress]: simplifying candidates 2.205 * [simplify]: Simplifying: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (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 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (- (acos a))) a)) (/ (sqrt 1) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (- (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (/ -1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ -1 (sqrt a))) (/ (sqrt 1) 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(cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (- (cbrt (acos a))) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (- (sqrt (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos 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(/ 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))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 2.209 * * [simplify]: iteration 0: 292 enodes 2.437 * * [simplify]: iteration 1: 790 enodes 2.972 * * [simplify]: iteration 2: 3977 enodes 3.804 * * [simplify]: iteration complete: 5001 enodes 3.805 * * [simplify]: Extracting #0: cost 129 inf + 0 3.816 * * [simplify]: Extracting #1: cost 1397 inf + 309 3.827 * * [simplify]: Extracting #2: cost 1350 inf + 71522 3.876 * * [simplify]: Extracting #3: cost 515 inf + 280139 3.949 * * [simplify]: Extracting #4: cost 15 inf + 405861 4.017 * * [simplify]: Extracting #5: cost 0 inf + 410681 4.114 * [simplify]: Simplified to: (expm1 (* (/ 1 (- (acos a))) a)) (log1p (* (/ 1 (- (acos a))) a)) -1 (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (exp (* (/ 1 (- (acos a))) a)) (/ (/ 1 (* (/ (acos a) a) (/ (acos a) a))) (- (/ (acos a) a))) (/ (/ 1 (* (/ (acos a) a) (/ (acos a) a))) (- (/ (acos a) a))) (* (cbrt (* (/ 1 (- (acos a))) a)) (cbrt (* (/ 1 (- (acos a))) a))) (cbrt (* (/ 1 (- (acos a))) a)) (* (* (/ 1 (- (acos a))) a) (* (* (/ 1 (- (acos a))) a) (* (/ 1 (- (acos a))) a))) (sqrt (* (/ 1 (- (acos a))) a)) (sqrt (* (/ 1 (- (acos a))) a)) -1 (/ (acos a) a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a)))) (/ (* 1 (cbrt a)) (cbrt (- (acos a)))) (* (sqrt a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a))))) (/ (* 1 (sqrt a)) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos 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a)) (/ 1 (sqrt (acos a))) (/ 1 (- (/ (sqrt (acos a)) a))) (* (cbrt a) (cbrt a)) (/ (* 1 (cbrt a)) (- (acos a))) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (- (acos a))) a (* (/ 1 (- (acos a))) a) (- (/ (acos a) a)) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a)))) (* (sqrt a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (* (* (/ 1 (sqrt (- (acos a)))) (cbrt a)) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ 1 (- (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (* (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (cbrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (* (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (sqrt a)) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (* (* (cbrt a) (cbrt a)) (/ 1 (sqrt (acos a)))) (/ (* 1 (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))) (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))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (- (/ (acos a) (sqrt a))) 1 (- (/ (acos a) a)) (/ (/ -1 (cbrt a)) (cbrt a)) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (- (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a))))) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ (/ -1 (cbrt a)) (cbrt a)) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (- (/ (cbrt (acos a)) a)) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (- (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt (acos a)) (sqrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (sqrt (acos a)) (- (/ (sqrt (acos a)) a)) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (- (/ (acos a) (sqrt a))) 1 (- (/ (acos a) a)) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (- (/ (acos a) (* (cbrt a) (cbrt a)))) (- (/ (acos a) (sqrt a))) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) 4.128 * * * [progress]: adding candidates to table 4.986 * * [progress]: iteration 3 / 4 4.986 * * * [progress]: picking best candidate 5.045 * * * * [pick]: Picked # 5.045 * * * [progress]: localizing error 5.056 * * * [progress]: generating rewritten candidates 5.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.136 * * * [progress]: generating series expansions 5.136 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.136 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 5.136 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.136 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.136 * [taylor]: Taking taylor expansion of -1 in a 5.136 * [backup-simplify]: Simplify -1 into -1 5.136 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.136 * [taylor]: Taking taylor expansion of a in a 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.136 * [taylor]: Taking taylor expansion of (acos a) in a 5.136 * [backup-simplify]: Simplify (acos a) into (acos a) 5.136 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.136 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.136 * [taylor]: Taking taylor expansion of -1 in a 5.136 * [backup-simplify]: Simplify -1 into -1 5.136 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.137 * [taylor]: Taking taylor expansion of a in a 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [taylor]: Taking taylor expansion of (acos a) in a 5.137 * [backup-simplify]: Simplify (acos a) into (acos a) 5.137 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.137 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.137 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.137 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.138 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.142 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.146 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.147 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 5.147 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 5.147 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.147 * [taylor]: Taking taylor expansion of -1 in a 5.147 * [backup-simplify]: Simplify -1 into -1 5.147 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.147 * [taylor]: Taking taylor expansion of a in a 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.147 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.147 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.147 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.148 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.148 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.148 * [taylor]: Taking taylor expansion of -1 in a 5.148 * [backup-simplify]: Simplify -1 into -1 5.148 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.148 * [taylor]: Taking taylor expansion of a in a 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify 1 into 1 5.148 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.148 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.148 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.148 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.148 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 5.149 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 5.151 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 5.152 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.152 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 5.157 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 5.159 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.160 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 5.160 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.160 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.160 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.160 * [taylor]: Taking taylor expansion of a in a 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.160 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.160 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.160 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.160 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.160 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.160 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.160 * [taylor]: Taking taylor expansion of a in a 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.161 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.161 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.161 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.161 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.172 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.172 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 5.172 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 5.172 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.172 * [taylor]: Taking taylor expansion of -1 in a 5.172 * [backup-simplify]: Simplify -1 into -1 5.172 * [taylor]: Taking taylor expansion of (acos a) in a 5.172 * [backup-simplify]: Simplify (acos a) into (acos a) 5.172 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.172 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.172 * [taylor]: Taking taylor expansion of -1 in a 5.172 * [backup-simplify]: Simplify -1 into -1 5.172 * [taylor]: Taking taylor expansion of (acos a) in a 5.172 * [backup-simplify]: Simplify (acos a) into (acos a) 5.172 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.172 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.172 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.174 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 5.174 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 5.174 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.174 * [taylor]: Taking taylor expansion of -1 in a 5.174 * [backup-simplify]: Simplify -1 into -1 5.174 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.174 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.174 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.174 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.174 * [taylor]: Taking taylor expansion of -1 in a 5.174 * [backup-simplify]: Simplify -1 into -1 5.174 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.174 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.175 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.175 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.175 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 5.177 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 5.177 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 5.177 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.177 * [taylor]: Taking taylor expansion of -1 in a 5.177 * [backup-simplify]: Simplify -1 into -1 5.177 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.177 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.177 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.177 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.177 * [taylor]: Taking taylor expansion of -1 in a 5.177 * [backup-simplify]: Simplify -1 into -1 5.177 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.177 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.177 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.177 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.177 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.177 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.178 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 5.179 * * * [progress]: simplifying candidates 5.588 * [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)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 1) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) 1) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) (/ 1 1) (/ 1 -1) (/ 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) (/ (- (acos a)) (cbrt 1)) (/ (- (acos a)) (sqrt 1)) (/ (- (acos a)) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 5.616 * * [simplify]: iteration 0: 811 enodes 7.379 * * [simplify]: iteration 1: 2950 enodes 7.928 * * [simplify]: iteration complete: 5001 enodes 7.929 * * [simplify]: Extracting #0: cost 139 inf + 0 7.933 * * [simplify]: Extracting #1: cost 1000 inf + 357 7.947 * * [simplify]: Extracting #2: cost 957 inf + 43039 7.984 * * [simplify]: Extracting #3: cost 286 inf + 220288 8.047 * * [simplify]: Extracting #4: cost 23 inf + 295551 8.108 * * 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(cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) a (- (* (/ 1 a) (acos a))) (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 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)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (- (* (/ 1 a) (acos a))) (- (* (/ 1 a) (acos a))) (- (* (/ 1 a) (acos 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))) (/ 1 (- (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)) 8.232 * * * [progress]: adding candidates to table 9.342 * * [progress]: iteration 4 / 4 9.342 * * * [progress]: picking best candidate 9.395 * * * * [pick]: Picked # 9.395 * * * [progress]: localizing error 9.438 * * * [progress]: generating rewritten candidates 9.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.449 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 9.478 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 9.561 * * * [progress]: generating series expansions 9.561 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.562 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) into (/ (cbrt -1) (acos a)) 9.562 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in (a) around 0 9.562 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 9.562 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.562 * [taylor]: Taking taylor expansion of -1 in a 9.562 * [backup-simplify]: Simplify -1 into -1 9.563 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.564 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.564 * [taylor]: Taking taylor expansion of (acos a) in a 9.564 * [backup-simplify]: Simplify (acos a) into (acos a) 9.565 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.565 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 9.565 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.565 * [taylor]: Taking taylor expansion of -1 in a 9.565 * [backup-simplify]: Simplify -1 into -1 9.565 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.566 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.566 * [taylor]: Taking taylor expansion of (acos a) in a 9.566 * [backup-simplify]: Simplify (acos a) into (acos a) 9.567 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.568 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.568 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 9.568 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.571 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.571 * [backup-simplify]: Simplify 0 into 0 9.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.574 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.574 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.577 * [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 9.577 * [backup-simplify]: Simplify 0 into 0 9.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.590 * [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 9.590 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.594 * [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 9.594 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.595 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a)))))) into (/ (cbrt -1) (acos (/ 1 a))) 9.596 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in (a) around 0 9.596 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 9.596 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.596 * [taylor]: Taking taylor expansion of -1 in a 9.596 * [backup-simplify]: Simplify -1 into -1 9.596 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.598 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.598 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.598 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.599 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.599 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 9.599 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.599 * [taylor]: Taking taylor expansion of -1 in a 9.599 * [backup-simplify]: Simplify -1 into -1 9.600 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.601 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.601 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.601 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.602 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.603 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.604 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 9.604 * [backup-simplify]: Simplify 0 into 0 9.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.607 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.607 * [backup-simplify]: Simplify 0 into 0 9.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.610 * [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 9.610 * [backup-simplify]: Simplify 0 into 0 9.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.614 * [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 9.614 * [backup-simplify]: Simplify 0 into 0 9.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.617 * [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 9.618 * [backup-simplify]: Simplify 0 into 0 9.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.621 * [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 9.621 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) into (/ (cbrt -1) (acos a)) 9.623 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) (acos (/ 1 (- a))))))) into (/ (cbrt -1) (acos (/ -1 a))) 9.623 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in (a) around 0 9.623 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 9.623 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.623 * [taylor]: Taking taylor expansion of -1 in a 9.623 * [backup-simplify]: Simplify -1 into -1 9.624 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.625 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.625 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.625 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.626 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.626 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 9.626 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.626 * [taylor]: Taking taylor expansion of -1 in a 9.626 * [backup-simplify]: Simplify -1 into -1 9.626 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.627 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.627 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.627 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.628 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.629 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.630 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 9.630 * [backup-simplify]: Simplify 0 into 0 9.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.633 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.633 * [backup-simplify]: Simplify 0 into 0 9.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.636 * [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 9.636 * [backup-simplify]: Simplify 0 into 0 9.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.640 * [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 9.640 * [backup-simplify]: Simplify 0 into 0 9.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.642 * [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 9.642 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.644 * [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 9.644 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 (/ 1 (- a))))) into (/ (cbrt -1) (acos a)) 9.645 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 9.645 * [backup-simplify]: Simplify (* (* (acos a) (acos a)) (acos a)) into (pow (acos a) 3) 9.645 * [approximate]: Taking taylor expansion of (pow (acos a) 3) in (a) around 0 9.645 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 9.645 * [taylor]: Taking taylor expansion of (acos a) in a 9.645 * [backup-simplify]: Simplify (acos a) into (acos a) 9.645 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 9.645 * [taylor]: Taking taylor expansion of (acos a) in a 9.645 * [backup-simplify]: Simplify (acos a) into (acos a) 9.646 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 9.646 * [backup-simplify]: Simplify (* (acos a) (pow (acos a) 2)) into (pow (acos a) 3) 9.646 * [backup-simplify]: Simplify (pow (acos a) 3) into (pow (acos a) 3) 9.646 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (acos a))) into 0 9.646 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (pow (acos a) 2))) into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.647 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (acos a)))) into 0 9.647 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))) into 0 9.647 * [backup-simplify]: Simplify 0 into 0 9.648 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 9.649 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2))))) into 0 9.649 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 9.651 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))))) into 0 9.651 * [backup-simplify]: Simplify 0 into 0 9.652 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 9.653 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2))))))) into 0 9.653 * [backup-simplify]: Simplify 0 into 0 9.655 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 9.656 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))))))) into 0 9.656 * [backup-simplify]: Simplify 0 into 0 9.657 * [backup-simplify]: Simplify (pow (acos a) 3) into (pow (acos a) 3) 9.657 * [backup-simplify]: Simplify (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 3) 9.657 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in (a) around 0 9.657 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 9.657 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.657 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.657 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 9.657 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.657 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.657 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 9.657 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (pow (acos (/ 1 a)) 2)) into (pow (acos (/ 1 a)) 3) 9.657 * [backup-simplify]: Simplify (pow (acos (/ 1 a)) 3) into (pow (acos (/ 1 a)) 3) 9.658 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (acos (/ 1 a)))) into 0 9.658 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (pow (acos (/ 1 a)) 2))) into 0 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))) into 0 9.659 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))) into 0 9.659 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 9.661 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2))))) into 0 9.661 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 9.663 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))))) into 0 9.663 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 9.665 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2))))))) into 0 9.665 * [backup-simplify]: Simplify 0 into 0 9.667 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 9.668 * [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 9.668 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify (pow (acos (/ 1 (/ 1 a))) 3) into (pow (acos a) 3) 9.669 * [backup-simplify]: Simplify (* (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) (acos (/ 1 (- a)))) into (pow (acos (/ -1 a)) 3) 9.669 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in (a) around 0 9.669 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 9.669 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.669 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.669 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 9.669 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.669 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.669 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (acos (/ -1 a))) into (pow (acos (/ -1 a)) 2) 9.669 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (pow (acos (/ -1 a)) 2)) into (pow (acos (/ -1 a)) 3) 9.669 * [backup-simplify]: Simplify (pow (acos (/ -1 a)) 3) into (pow (acos (/ -1 a)) 3) 9.670 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (acos (/ -1 a)))) into 0 9.670 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (pow (acos (/ -1 a)) 2))) into 0 9.670 * [backup-simplify]: Simplify 0 into 0 9.670 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))) into 0 9.671 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))) into 0 9.671 * [backup-simplify]: Simplify 0 into 0 9.672 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 9.672 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2))))) into 0 9.673 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 9.675 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))))) into 0 9.675 * [backup-simplify]: Simplify 0 into 0 9.676 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 9.678 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2))))))) into 0 9.678 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 9.683 * [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 9.683 * [backup-simplify]: Simplify 0 into 0 9.684 * [backup-simplify]: Simplify (pow (acos (/ -1 (/ 1 (- a)))) 3) into (pow (acos a) 3) 9.684 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.684 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (/ 1 a)) into (/ (* (cbrt -1) a) (acos a)) 9.684 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in (a) around 0 9.684 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 9.684 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 9.684 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.684 * [taylor]: Taking taylor expansion of -1 in a 9.684 * [backup-simplify]: Simplify -1 into -1 9.685 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.686 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.686 * [taylor]: Taking taylor expansion of a in a 9.686 * [backup-simplify]: Simplify 0 into 0 9.686 * [backup-simplify]: Simplify 1 into 1 9.686 * [taylor]: Taking taylor expansion of (acos a) in a 9.686 * [backup-simplify]: Simplify (acos a) into (acos a) 9.687 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 9.690 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 9.691 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.691 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 9.691 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 9.691 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.691 * [taylor]: Taking taylor expansion of -1 in a 9.691 * [backup-simplify]: Simplify -1 into -1 9.691 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.692 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.692 * [taylor]: Taking taylor expansion of a in a 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify 1 into 1 9.692 * [taylor]: Taking taylor expansion of (acos a) in a 9.693 * [backup-simplify]: Simplify (acos a) into (acos a) 9.693 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 9.696 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 9.697 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.698 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.700 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 9.701 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 9.701 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.703 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.703 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.703 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.706 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.706 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.707 * [backup-simplify]: Simplify 0 into 0 9.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.709 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.710 * [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 9.710 * [backup-simplify]: Simplify 0 into 0 9.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.712 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.713 * [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 9.713 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.715 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.716 * [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 9.716 * [backup-simplify]: Simplify 0 into 0 9.717 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos a)) a) into (/ (* (cbrt -1) a) (acos a)) 9.717 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a)))))) (/ 1 (/ 1 a))) into (/ (cbrt -1) (* a (acos (/ 1 a)))) 9.717 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in (a) around 0 9.717 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in a 9.717 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.717 * [taylor]: Taking taylor expansion of -1 in a 9.717 * [backup-simplify]: Simplify -1 into -1 9.718 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.719 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.719 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 9.719 * [taylor]: Taking taylor expansion of a in a 9.719 * [backup-simplify]: Simplify 0 into 0 9.719 * [backup-simplify]: Simplify 1 into 1 9.719 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.719 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.719 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 9.719 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 9.720 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.720 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in a 9.720 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.720 * [taylor]: Taking taylor expansion of -1 in a 9.720 * [backup-simplify]: Simplify -1 into -1 9.720 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.721 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.721 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 9.721 * [taylor]: Taking taylor expansion of a in a 9.721 * [backup-simplify]: Simplify 0 into 0 9.721 * [backup-simplify]: Simplify 1 into 1 9.721 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.721 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.721 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 9.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 9.722 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.722 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 9.723 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 9.723 * [backup-simplify]: Simplify 0 into 0 9.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 9.726 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.726 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 9.729 * [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 9.729 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 9.735 * [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 9.735 * [backup-simplify]: Simplify 0 into 0 9.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 9.739 * [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 9.739 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 9.743 * [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 9.743 * [backup-simplify]: Simplify 0 into 0 9.744 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (/ (* (cbrt -1) a) (acos a)) 9.744 * [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))))) 9.744 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in (a) around 0 9.744 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in a 9.744 * [taylor]: Taking taylor expansion of -1 in a 9.744 * [backup-simplify]: Simplify -1 into -1 9.744 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ -1 a)))) in a 9.744 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.744 * [taylor]: Taking taylor expansion of -1 in a 9.745 * [backup-simplify]: Simplify -1 into -1 9.745 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.746 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.746 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.746 * [taylor]: Taking taylor expansion of a in a 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [backup-simplify]: Simplify 1 into 1 9.746 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.746 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.746 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 9.746 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 9.747 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.747 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in a 9.747 * [taylor]: Taking taylor expansion of -1 in a 9.747 * [backup-simplify]: Simplify -1 into -1 9.747 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ -1 a)))) in a 9.747 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.747 * [taylor]: Taking taylor expansion of -1 in a 9.747 * [backup-simplify]: Simplify -1 into -1 9.747 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.748 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.748 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.748 * [taylor]: Taking taylor expansion of a in a 9.748 * [backup-simplify]: Simplify 0 into 0 9.748 * [backup-simplify]: Simplify 1 into 1 9.748 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.748 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.748 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 9.748 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 9.749 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.749 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 9.750 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 9.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 9.751 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 9.752 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))) into 0 9.752 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 9.758 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))) into 0 9.759 * [backup-simplify]: Simplify 0 into 0 9.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 9.764 * [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 9.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))) into 0 9.767 * [backup-simplify]: Simplify 0 into 0 9.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 9.772 * [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 9.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))) into 0 9.775 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 9.781 * [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 9.784 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))))) into 0 9.785 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 9.792 * [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 9.795 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))))) into 0 9.795 * [backup-simplify]: Simplify 0 into 0 9.796 * [backup-simplify]: Simplify (* (* -1 (/ (cbrt -1) (acos (/ -1 (/ 1 (- a)))))) (/ 1 (/ 1 (- a)))) into (/ (* (cbrt -1) a) (acos a)) 9.796 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 9.797 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 9.797 * [approximate]: Taking taylor expansion of (pow (acos a) 2) in (a) around 0 9.797 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 9.797 * [taylor]: Taking taylor expansion of (acos a) in a 9.797 * [backup-simplify]: Simplify (acos a) into (acos a) 9.797 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 9.797 * [taylor]: Taking taylor expansion of (acos a) in a 9.797 * [backup-simplify]: Simplify (acos a) into (acos a) 9.797 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 9.797 * [backup-simplify]: Simplify (pow (acos a) 2) into (pow (acos a) 2) 9.797 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (acos a))) into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (acos a)))) into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 9.800 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 9.801 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 9.803 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify (pow (acos a) 2) into (pow (acos a) 2) 9.806 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 9.806 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in (a) around 0 9.806 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 9.806 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.806 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.806 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 9.806 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.806 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.806 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 9.806 * [backup-simplify]: Simplify (pow (acos (/ 1 a)) 2) into (pow (acos (/ 1 a)) 2) 9.807 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (acos (/ 1 a)))) into 0 9.807 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))) into 0 9.808 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 9.809 * [backup-simplify]: Simplify 0 into 0 9.810 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 9.811 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 9.813 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 9.817 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify (pow (acos (/ 1 (/ 1 a))) 2) into (pow (acos a) 2) 9.817 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) into (pow (acos (/ -1 a)) 2) 9.817 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in (a) around 0 9.818 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 9.818 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.818 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.818 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 9.818 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.818 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.818 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (acos (/ -1 a))) into (pow (acos (/ -1 a)) 2) 9.818 * [backup-simplify]: Simplify (pow (acos (/ -1 a)) 2) into (pow (acos (/ -1 a)) 2) 9.819 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (acos (/ -1 a)))) into 0 9.819 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))) into 0 9.820 * [backup-simplify]: Simplify 0 into 0 9.821 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 9.821 * [backup-simplify]: Simplify 0 into 0 9.823 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 9.823 * [backup-simplify]: Simplify 0 into 0 9.825 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 9.825 * [backup-simplify]: Simplify 0 into 0 9.827 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 9.828 * [backup-simplify]: Simplify 0 into 0 9.828 * [backup-simplify]: Simplify (pow (acos (/ -1 (/ 1 (- a)))) 2) into (pow (acos a) 2) 9.828 * * * [progress]: simplifying candidates 9.844 * [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))) (* (* (* 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a)) (/ (* (cbrt -1) a) (acos a)) (pow (acos a) 2) (pow (acos a) 2) (pow (acos a) 2) 9.870 * * [simplify]: iteration 0: 732 enodes 10.341 * * [simplify]: iteration 1: 1822 enodes 10.720 * * [simplify]: iteration complete: 5000 enodes 10.721 * * [simplify]: Extracting #0: cost 180 inf + 0 10.726 * * [simplify]: Extracting #1: cost 1289 inf + 980 10.745 * * [simplify]: Extracting #2: cost 1325 inf + 64118 10.790 * * [simplify]: Extracting #3: cost 657 inf + 221681 10.855 * * [simplify]: Extracting #4: cost 225 inf + 385489 10.925 * * [simplify]: Extracting #5: cost 11 inf + 481108 11.026 * * [simplify]: Extracting #6: cost 0 inf + 486680 11.121 * [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 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(acos a)) (/ (cbrt -1) (acos a)) (/ (cbrt -1) (acos a)) (/ (cbrt -1) (acos a)) (* (acos a) (* (acos a) (acos a))) (* (acos a) (* (acos a) (acos a))) (* (acos a) (* (acos a) (acos a))) (/ (cbrt -1) (/ (acos a) a)) (/ (cbrt -1) (/ (acos a) a)) (/ (cbrt -1) (/ (acos a) a)) (* (acos a) (acos a)) (* (acos a) (acos a)) (* (acos a) (acos a)) 11.225 * * * [progress]: adding candidates to table 13.058 * [progress]: [Phase 3 of 3] Extracting. 13.058 * * [regime]: Finding splitpoints for: (# # # # # #) 13.059 * * * [regime-changes]: Trying 1 branch expressions: (a) 13.059 * * * * [regimes]: Trying to branch on a from (# # # # # #) 13.125 * * * [regime]: Found split indices: #