24.795 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (/ a (- (acos a))) 0.036 * * [simplify]: iteration 0: 4 enodes 0.037 * * [simplify]: iteration complete: 4 enodes 0.037 * * [simplify]: Extracting #0: cost 1 inf + 0 0.037 * * [simplify]: Extracting #1: cost 3 inf + 0 0.037 * * [simplify]: Extracting #2: cost 3 inf + 1 0.037 * * [simplify]: Extracting #3: cost 0 inf + 394 0.037 * [simplify]: Simplified to: (/ a (- (acos a))) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.056 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.056 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.056 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.056 * [taylor]: Taking taylor expansion of -1 in a 0.056 * [backup-simplify]: Simplify -1 into -1 0.056 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.056 * [taylor]: Taking taylor expansion of a in a 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of (acos a) in a 0.056 * [backup-simplify]: Simplify (acos a) into (acos a) 0.056 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.056 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.056 * [taylor]: Taking taylor expansion of -1 in a 0.057 * [backup-simplify]: Simplify -1 into -1 0.057 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.057 * [taylor]: Taking taylor expansion of a in a 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of (acos a) in a 0.057 * [backup-simplify]: Simplify (acos a) into (acos a) 0.057 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.057 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.057 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.057 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [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 0.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [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 0.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [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 0.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.072 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.072 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.072 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.072 * [taylor]: Taking taylor expansion of -1 in a 0.072 * [backup-simplify]: Simplify -1 into -1 0.072 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.072 * [taylor]: Taking taylor expansion of a in a 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.073 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.073 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.073 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.073 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.073 * [taylor]: Taking taylor expansion of -1 in a 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.073 * [taylor]: Taking taylor expansion of a in a 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.073 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.073 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.074 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.074 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.077 * [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 0.077 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.079 * [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 0.079 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.081 * [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 0.081 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.083 * [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 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.084 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.084 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.084 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.084 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.084 * [taylor]: Taking taylor expansion of a in a 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.084 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.084 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.084 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.084 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.084 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.084 * [taylor]: Taking taylor expansion of a in a 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.085 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.085 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.085 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.085 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.090 * [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 0.090 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.092 * [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 0.092 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.094 * [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 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.094 * * * [progress]: simplifying candidates 0.095 * [simplify]: Simplifying: (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.096 * * [simplify]: iteration 0: 94 enodes 0.136 * * [simplify]: iteration 1: 171 enodes 0.179 * * [simplify]: iteration 2: 462 enodes 0.365 * * [simplify]: iteration 3: 2040 enodes 1.204 * * [simplify]: iteration complete: 5001 enodes 1.204 * * [simplify]: Extracting #0: cost 63 inf + 0 1.206 * * [simplify]: Extracting #1: cost 631 inf + 3 1.216 * * [simplify]: Extracting #2: cost 1294 inf + 14666 1.244 * * [simplify]: Extracting #3: cost 703 inf + 218247 1.334 * * [simplify]: Extracting #4: cost 50 inf + 349794 1.415 * * [simplify]: Extracting #5: cost 3 inf + 365125 1.496 * * [simplify]: Extracting #6: cost 0 inf + 366144 1.592 * [simplify]: Simplified to: (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (* (cbrt a) (/ (cbrt a) (sqrt (- (acos a))))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (* (/ (cbrt a) -1) (cbrt a)) (/ (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) -1) (cbrt a)) (/ (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))) 1.597 * * * [progress]: adding candidates to table 1.794 * * [progress]: iteration 2 / 4 1.794 * * * [progress]: picking best candidate 1.829 * * * * [pick]: Picked # 1.829 * * * [progress]: localizing error 1.838 * * * [progress]: generating rewritten candidates 1.838 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.845 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.877 * * * [progress]: generating series expansions 1.877 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.877 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 1.877 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 1.877 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.877 * [taylor]: Taking taylor expansion of -1 in a 1.877 * [backup-simplify]: Simplify -1 into -1 1.877 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.877 * [taylor]: Taking taylor expansion of (acos a) in a 1.877 * [backup-simplify]: Simplify (acos a) into (acos a) 1.877 * [taylor]: Taking taylor expansion of a in a 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.878 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.878 * [taylor]: Taking taylor expansion of -1 in a 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.878 * [taylor]: Taking taylor expansion of (acos a) in a 1.878 * [backup-simplify]: Simplify (acos a) into (acos a) 1.878 * [taylor]: Taking taylor expansion of a in a 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.878 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.878 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.898 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 1.898 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 1.898 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.898 * [taylor]: Taking taylor expansion of -1 in a 1.898 * [backup-simplify]: Simplify -1 into -1 1.898 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.898 * [taylor]: Taking taylor expansion of a in a 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.898 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.898 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.898 * [taylor]: Taking taylor expansion of -1 in a 1.899 * [backup-simplify]: Simplify -1 into -1 1.899 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.899 * [taylor]: Taking taylor expansion of a in a 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.899 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.899 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.899 * [backup-simplify]: Simplify (* -1 0) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.900 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 1.900 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 1.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.904 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.923 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 1.923 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 1.923 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.923 * [taylor]: Taking taylor expansion of a in a 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.924 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.924 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.924 * [taylor]: Taking taylor expansion of a in a 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.924 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.924 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.925 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 1.940 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.940 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 1.940 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.940 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.940 * [taylor]: Taking taylor expansion of -1 in a 1.940 * [backup-simplify]: Simplify -1 into -1 1.940 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.940 * [taylor]: Taking taylor expansion of a in a 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of (acos a) in a 1.940 * [backup-simplify]: Simplify (acos a) into (acos a) 1.941 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.941 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.941 * [taylor]: Taking taylor expansion of -1 in a 1.941 * [backup-simplify]: Simplify -1 into -1 1.941 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.941 * [taylor]: Taking taylor expansion of a in a 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [taylor]: Taking taylor expansion of (acos a) in a 1.941 * [backup-simplify]: Simplify (acos a) into (acos a) 1.941 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.941 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.941 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.942 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.943 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [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 1.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [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 1.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [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 1.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.958 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 1.958 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 1.958 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.958 * [taylor]: Taking taylor expansion of -1 in a 1.958 * [backup-simplify]: Simplify -1 into -1 1.958 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.958 * [taylor]: Taking taylor expansion of a in a 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.958 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.958 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.959 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.959 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.959 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.959 * [taylor]: Taking taylor expansion of -1 in a 1.959 * [backup-simplify]: Simplify -1 into -1 1.959 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.959 * [taylor]: Taking taylor expansion of a in a 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.959 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.960 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.960 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.961 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.967 * [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 1.967 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.970 * [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 1.970 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.973 * [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 1.973 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.977 * [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 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.977 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.977 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.977 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.978 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.978 * [taylor]: Taking taylor expansion of a in a 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.978 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.978 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.979 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.979 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.979 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.979 * [taylor]: Taking taylor expansion of a in a 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.979 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.979 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.980 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.980 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.988 * [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 1.988 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.991 * [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 1.991 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.995 * [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 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.995 * * * [progress]: simplifying candidates 2.002 * [simplify]: Simplifying: (- (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) (/ 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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) 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a)) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (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 (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 2.008 * * [simplify]: iteration 0: 288 enodes 2.252 * * [simplify]: iteration 1: 785 enodes 2.823 * * [simplify]: iteration 2: 4452 enodes 3.596 * * [simplify]: iteration complete: 5000 enodes 3.597 * * [simplify]: Extracting #0: cost 126 inf + 0 3.601 * * [simplify]: Extracting #1: cost 1531 inf + 872 3.613 * * [simplify]: Extracting #2: cost 1274 inf + 85535 3.654 * * [simplify]: Extracting #3: cost 344 inf + 301313 3.707 * * [simplify]: Extracting #4: cost 6 inf + 395360 3.776 * * [simplify]: Extracting #5: cost 0 inf + 397632 3.859 * [simplify]: Simplified to: (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 (- 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(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))) -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 (* a (/ 1 (- (acos a))))) (/ 1 (- (* (/ (acos a) a) (* (/ (acos a) a) (/ (acos a) a))))) (/ 1 (- (* (/ (acos a) a) (* (/ (acos a) a) (/ (acos a) a))))) (* (cbrt (* a (/ 1 (- (acos a))))) (cbrt (* a (/ 1 (- (acos a)))))) (cbrt (* a (/ 1 (- (acos a))))) (* (* (* a (/ 1 (- (acos a)))) (* a (/ 1 (- (acos a))))) (* a (/ 1 (- (acos a))))) (sqrt (* a (/ 1 (- (acos a))))) (sqrt (* a (/ 1 (- (acos a))))) -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 (- (acos a)))) (cbrt a)) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (* 1 (sqrt a)) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (/ (cbrt (- (acos a))) a)) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ (* 1 a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (* a (/ 1 (- (acos a)))) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ (* 1 a) (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (/ 1 (cbrt (acos a))) (cbrt a)) (* (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (sqrt a)) (* (sqrt a) (/ 1 (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ 1 (/ (cbrt (acos a)) a)) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (cbrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ (* 1 a) (acos a)) (/ (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a))) (/ (* 1 (cbrt a)) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (* (sqrt a) (/ 1 (- (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (* 1 a) (- (cbrt (acos a)))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (* a (/ 1 (- (acos a)))) 1 (* a (/ 1 (- (acos a)))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a))) (* (/ 1 (cbrt (- (acos a)))) (cbrt a)) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (* 1 (sqrt a)) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (/ (cbrt (- (acos a))) a)) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ (* 1 a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (* a (/ 1 (- (acos a)))) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ (* 1 a) (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (/ 1 (cbrt (acos a))) (cbrt a)) (* (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (sqrt a)) (* (sqrt a) (/ 1 (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ 1 (/ (cbrt (acos a)) a)) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (cbrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ (* 1 a) (acos a)) (/ (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a))) (/ (* 1 (cbrt a)) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (* (sqrt a) (/ 1 (- (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (* 1 a) (- (cbrt (acos a)))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (* a (/ 1 (- (acos a)))) 1 (* a (/ 1 (- (acos a)))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a))) (* (/ 1 (cbrt (- (acos a)))) (cbrt a)) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (* 1 (sqrt a)) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (/ (cbrt (- (acos a))) a)) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ (* 1 a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (* a (/ 1 (- (acos a)))) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ (* 1 a) (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (/ 1 (cbrt (acos a))) (cbrt a)) (* (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (sqrt a)) (* (sqrt a) (/ 1 (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ 1 (/ (cbrt (acos a)) a)) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (cbrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ (* 1 a) (acos a)) (/ (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a))) (/ (* 1 (cbrt a)) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (* (sqrt a) (/ 1 (- (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (* 1 a) (- (cbrt (acos a)))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (* a (/ 1 (- (acos a)))) 1 (* a (/ 1 (- (acos a)))) (/ 1 (- (acos a))) a (* a (/ 1 (- (acos 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))) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (sqrt a)) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 3.879 * * * [progress]: adding candidates to table 4.590 * * [progress]: iteration 3 / 4 4.591 * * * [progress]: picking best candidate 4.637 * * * * [pick]: Picked # 4.637 * * * [progress]: localizing error 4.659 * * * [progress]: generating rewritten candidates 4.659 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.707 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.759 * * * [progress]: generating series expansions 4.759 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.759 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 4.759 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.759 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.759 * [taylor]: Taking taylor expansion of -1 in a 4.759 * [backup-simplify]: Simplify -1 into -1 4.759 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.759 * [taylor]: Taking taylor expansion of a in a 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [taylor]: Taking taylor expansion of (acos a) in a 4.759 * [backup-simplify]: Simplify (acos a) into (acos a) 4.759 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.759 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.759 * [taylor]: Taking taylor expansion of -1 in a 4.759 * [backup-simplify]: Simplify -1 into -1 4.759 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.759 * [taylor]: Taking taylor expansion of a in a 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [taylor]: Taking taylor expansion of (acos a) in a 4.759 * [backup-simplify]: Simplify (acos a) into (acos a) 4.759 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.759 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.760 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.760 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.760 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.760 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.761 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.763 * [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 4.763 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.766 * [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 4.767 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.767 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 4.767 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 4.767 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.767 * [taylor]: Taking taylor expansion of -1 in a 4.767 * [backup-simplify]: Simplify -1 into -1 4.767 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.767 * [taylor]: Taking taylor expansion of a in a 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.767 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.768 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.768 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.768 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.768 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.768 * [taylor]: Taking taylor expansion of -1 in a 4.768 * [backup-simplify]: Simplify -1 into -1 4.768 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.768 * [taylor]: Taking taylor expansion of a in a 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.768 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.768 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.768 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.769 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.769 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 4.769 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.770 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 4.772 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 4.773 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 4.775 * [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 4.775 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 4.777 * [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 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 4.777 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 4.777 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 4.777 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.777 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.777 * [taylor]: Taking taylor expansion of a in a 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.777 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.777 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.778 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.778 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.778 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.778 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.778 * [taylor]: Taking taylor expansion of a in a 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.778 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.778 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.778 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.778 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.779 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 4.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.779 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 4.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 4.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 4.784 * [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 4.785 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 4.788 * [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 4.788 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 4.791 * [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 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 4.791 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.792 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 4.792 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 4.792 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.792 * [taylor]: Taking taylor expansion of -1 in a 4.792 * [backup-simplify]: Simplify -1 into -1 4.792 * [taylor]: Taking taylor expansion of (acos a) in a 4.792 * [backup-simplify]: Simplify (acos a) into (acos a) 4.792 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.792 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.792 * [taylor]: Taking taylor expansion of -1 in a 4.792 * [backup-simplify]: Simplify -1 into -1 4.792 * [taylor]: Taking taylor expansion of (acos a) in a 4.792 * [backup-simplify]: Simplify (acos a) into (acos a) 4.792 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.792 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.793 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.793 * [backup-simplify]: Simplify 0 into 0 4.794 * [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 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [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 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [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 4.795 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.796 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 4.796 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 4.796 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.796 * [taylor]: Taking taylor expansion of -1 in a 4.796 * [backup-simplify]: Simplify -1 into -1 4.796 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.796 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.796 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.796 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.796 * [taylor]: Taking taylor expansion of -1 in a 4.796 * [backup-simplify]: Simplify -1 into -1 4.796 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.796 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.796 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.797 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.797 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.798 * [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 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [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 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [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 4.799 * [backup-simplify]: Simplify 0 into 0 4.800 * [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 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 4.800 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 4.800 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 4.801 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.801 * [taylor]: Taking taylor expansion of -1 in a 4.801 * [backup-simplify]: Simplify -1 into -1 4.801 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.801 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.801 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.801 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.801 * [taylor]: Taking taylor expansion of -1 in a 4.801 * [backup-simplify]: Simplify -1 into -1 4.801 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.801 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.801 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.801 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.802 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.802 * [backup-simplify]: Simplify 0 into 0 4.802 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.802 * [backup-simplify]: Simplify 0 into 0 4.803 * [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 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [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 4.803 * [backup-simplify]: Simplify 0 into 0 4.804 * [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 4.804 * [backup-simplify]: Simplify 0 into 0 4.805 * [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 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 4.805 * * * [progress]: simplifying candidates 4.826 * [simplify]: Simplifying: (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ 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6.382 * * [simplify]: iteration 1: 2939 enodes 6.863 * * [simplify]: iteration complete: 5001 enodes 6.864 * * [simplify]: Extracting #0: cost 135 inf + 0 6.874 * * [simplify]: Extracting #1: cost 919 inf + 398 6.883 * * [simplify]: Extracting #2: cost 1029 inf + 27824 6.919 * * [simplify]: Extracting #3: cost 310 inf + 216898 6.956 * * [simplify]: Extracting #4: cost 27 inf + 298197 6.994 * * [simplify]: Extracting #5: cost 0 inf + 306996 7.036 * [simplify]: Simplified to: (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos 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(acos a)))) a) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ 1 (- (cbrt (acos a)))) a) (/ (/ 1 (sqrt (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (sqrt (acos a)))) (cbrt (/ 1 a))) (/ 1 (* (sqrt (/ 1 a)) (sqrt (acos a)))) (/ 1 (* (sqrt (/ 1 a)) (- (sqrt (acos a))))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ (/ 1 (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ 1 (* (sqrt (/ 1 a)) (- (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ (/ 1 (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ 1 (* (sqrt (/ 1 a)) (- (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ (/ 1 (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ 1 (* (sqrt (/ 1 a)) (- (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) a (* (/ 1 a) (- (acos a))) (/ (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ 1 (* (sqrt (/ 1 a)) (- (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))) (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) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ 1 (- (* (acos a) (* (acos a) (acos a))))) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (/ (/ (/ 1 (- (acos a))) (- (acos a))) (- (acos a))) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) -1 (acos a) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 7.084 * * * [progress]: adding candidates to table 8.081 * * [progress]: iteration 4 / 4 8.081 * * * [progress]: picking best candidate 8.103 * * * * [pick]: Picked # 8.103 * * * [progress]: localizing error 8.122 * * * [progress]: generating rewritten candidates 8.122 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.140 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.168 * * * [progress]: generating series expansions 8.168 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.168 * [backup-simplify]: Simplify (/ (/ -1 (acos a)) (/ 1 a)) into (* -1 (/ a (acos a))) 8.168 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 8.168 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.168 * [taylor]: Taking taylor expansion of -1 in a 8.168 * [backup-simplify]: Simplify -1 into -1 8.168 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.168 * [taylor]: Taking taylor expansion of a in a 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [taylor]: Taking taylor expansion of (acos a) in a 8.169 * [backup-simplify]: Simplify (acos a) into (acos a) 8.169 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.169 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.169 * [taylor]: Taking taylor expansion of -1 in a 8.169 * [backup-simplify]: Simplify -1 into -1 8.169 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.169 * [taylor]: Taking taylor expansion of a in a 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 1 into 1 8.169 * [taylor]: Taking taylor expansion of (acos a) in a 8.169 * [backup-simplify]: Simplify (acos a) into (acos a) 8.169 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.169 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 8.169 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.169 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 8.170 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 8.170 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.172 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 8.174 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 8.180 * [backup-simplify]: Simplify (/ (/ -1 (acos (/ 1 a))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 8.180 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 8.180 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 8.180 * [taylor]: Taking taylor expansion of -1 in a 8.180 * [backup-simplify]: Simplify -1 into -1 8.180 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 8.180 * [taylor]: Taking taylor expansion of a in a 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.180 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.180 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 8.180 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 8.180 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.180 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 8.180 * [taylor]: Taking taylor expansion of -1 in a 8.180 * [backup-simplify]: Simplify -1 into -1 8.180 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 8.180 * [taylor]: Taking taylor expansion of a in a 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.180 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.181 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 8.181 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 8.181 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.181 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 8.182 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 8.183 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 8.184 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 8.186 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 8.188 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.188 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 8.190 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 8.190 * [backup-simplify]: Simplify (/ (/ -1 (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 8.190 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 8.190 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.190 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.190 * [taylor]: Taking taylor expansion of a in a 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 1 into 1 8.190 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.190 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.191 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.191 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.191 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.191 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.191 * [taylor]: Taking taylor expansion of a in a 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify 1 into 1 8.191 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.191 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.191 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.192 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.192 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 8.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.195 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.197 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.198 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 8.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 8.201 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.201 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.201 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 8.201 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 8.201 * [taylor]: Taking taylor expansion of -1 in a 8.201 * [backup-simplify]: Simplify -1 into -1 8.201 * [taylor]: Taking taylor expansion of (acos a) in a 8.201 * [backup-simplify]: Simplify (acos a) into (acos a) 8.201 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.201 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 8.201 * [taylor]: Taking taylor expansion of -1 in a 8.201 * [backup-simplify]: Simplify -1 into -1 8.201 * [taylor]: Taking taylor expansion of (acos a) in a 8.201 * [backup-simplify]: Simplify (acos a) into (acos a) 8.201 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.201 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.202 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.202 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.203 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.203 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 8.203 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 8.203 * [taylor]: Taking taylor expansion of -1 in a 8.203 * [backup-simplify]: Simplify -1 into -1 8.203 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.203 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.203 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.203 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 8.203 * [taylor]: Taking taylor expansion of -1 in a 8.203 * [backup-simplify]: Simplify -1 into -1 8.203 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.204 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.204 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.204 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.204 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 8.207 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (- a)))) into (/ -1 (acos (/ -1 a))) 8.207 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 8.207 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 8.207 * [taylor]: Taking taylor expansion of -1 in a 8.207 * [backup-simplify]: Simplify -1 into -1 8.207 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.207 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.207 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 8.207 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 8.208 * [taylor]: Taking taylor expansion of -1 in a 8.208 * [backup-simplify]: Simplify -1 into -1 8.208 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.208 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.208 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 8.208 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 8.208 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.210 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 8.212 * * * [progress]: simplifying candidates 8.221 * [simplify]: Simplifying: (- (- (log -1) (log (acos a))) (- (log a))) (- (- (log -1) (log (acos a))) (- 0 (log a))) (- (- (log -1) (log (acos a))) (- (log 1) (log a))) (- (- (log -1) (log (acos a))) (log (/ 1 a))) (- (log (/ -1 (acos a))) (- (log a))) (- (log (/ -1 (acos a))) (- 0 (log a))) (- (log (/ -1 (acos a))) (- (log 1) (log a))) (- (log (/ -1 (acos a))) (log (/ 1 a))) (log (/ (/ -1 (acos a)) (/ 1 a))) (exp (/ (/ -1 (acos a)) (/ 1 a))) (/ (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ -1 (acos a)) (/ 1 a))) (cbrt (/ (/ -1 (acos a)) (/ 1 a)))) (cbrt (/ (/ -1 (acos a)) (/ 1 a))) (* (* (/ (/ -1 (acos a)) (/ 1 a)) (/ (/ -1 (acos a)) (/ 1 a))) (/ (/ -1 (acos a)) (/ 1 a))) (sqrt (/ (/ -1 (acos a)) (/ 1 a))) (sqrt (/ (/ -1 (acos a)) (/ 1 a))) (- (/ -1 (acos a))) (- (/ 1 a)) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ -1 (acos a))) (cbrt (/ 1 a))) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (sqrt (/ 1 a))) (/ (cbrt (/ -1 (acos a))) (sqrt (/ 1 a))) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ -1 (acos a))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ -1 (acos a))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ -1 (acos a))) (/ (cbrt 1) a)) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ -1 (acos a))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ -1 (acos a))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ (sqrt 1) 1)) (/ (cbrt (/ -1 (acos a))) (/ (sqrt 1) a)) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ -1 (acos a))) (/ 1 (cbrt a))) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ 1 (sqrt a))) (/ (cbrt (/ -1 (acos a))) (/ 1 (sqrt a))) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (/ 1 1)) (/ (cbrt (/ -1 (acos a))) (/ 1 a)) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) 1) (/ (cbrt (/ -1 (acos a))) (/ 1 a)) (/ (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) 1) (/ (cbrt (/ -1 (acos a))) (/ 1 a)) (/ (sqrt (/ -1 (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ -1 (acos a))) (cbrt (/ 1 a))) (/ (sqrt (/ -1 (acos a))) (sqrt (/ 1 a))) (/ (sqrt (/ -1 (acos a))) (sqrt (/ 1 a))) (/ (sqrt (/ -1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ -1 (acos a))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ -1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ -1 (acos a))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ -1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ -1 (acos a))) (/ (cbrt 1) a)) (/ (sqrt (/ -1 (acos a))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ -1 (acos a))) (/ (sqrt 1) (cbrt a))) (/ (sqrt (/ -1 (acos a))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ -1 (acos a))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ -1 (acos a))) (/ (sqrt 1) 1)) (/ (sqrt (/ -1 (acos a))) (/ (sqrt 1) a)) (/ (sqrt (/ -1 (acos a))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt (/ -1 (acos a))) (/ 1 (cbrt a))) (/ (sqrt (/ -1 (acos a))) (/ 1 (sqrt a))) (/ (sqrt (/ -1 (acos a))) (/ 1 (sqrt a))) (/ (sqrt (/ -1 (acos a))) (/ 1 1)) (/ (sqrt (/ -1 (acos a))) (/ 1 a)) (/ (sqrt (/ -1 (acos a))) 1) (/ (sqrt (/ -1 (acos a))) (/ 1 a)) (/ (sqrt (/ -1 (acos a))) 1) (/ (sqrt (/ -1 (acos a))) (/ 1 a)) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ (cbrt -1) (cbrt (acos a))) (cbrt (/ 1 a))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt (/ 1 a))) (/ (/ (cbrt -1) (cbrt (acos a))) (sqrt (/ 1 a))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ (cbrt -1) (cbrt (acos a))) (/ (cbrt 1) (cbrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (/ (cbrt -1) (cbrt (acos a))) (/ (cbrt 1) (sqrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt -1) (cbrt (acos a))) (/ (cbrt 1) a)) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (/ (cbrt -1) (cbrt (acos a))) (/ (sqrt 1) (cbrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (/ (cbrt -1) (cbrt (acos a))) (/ (sqrt 1) (sqrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt 1) 1)) (/ (/ (cbrt -1) (cbrt (acos a))) (/ (sqrt 1) a)) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (/ (cbrt -1) (cbrt (acos a))) (/ 1 (cbrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt a))) (/ (/ (cbrt -1) (cbrt (acos a))) (/ 1 (sqrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 1)) (/ (/ (cbrt -1) (cbrt (acos a))) (/ 1 a)) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (/ (cbrt -1) (cbrt (acos a))) (/ 1 a)) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (/ (cbrt -1) (cbrt (acos a))) (/ 1 a)) (/ (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ (cbrt -1) (sqrt (acos a))) (cbrt (/ 1 a))) (/ (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (sqrt (/ 1 a))) (/ (/ (cbrt -1) (sqrt (acos a))) (sqrt (/ 1 a))) (/ (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ (cbrt -1) (sqrt (acos a))) (/ (cbrt 1) (cbrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (/ (cbrt -1) (sqrt (acos a))) (/ (cbrt 1) (sqrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt -1) (sqrt (acos a))) (/ (cbrt 1) a)) (/ (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (/ (cbrt -1) (sqrt (acos a))) (/ (sqrt 1) (cbrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (sqrt 1) (sqrt a))) (/ (/ (cbrt -1) (sqrt (acos a))) (/ (sqrt 1) (sqrt a))) (/ (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (sqrt 1) 1)) (/ (/ (cbrt 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(/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (sqrt -1) (/ (sqrt -1) (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) 1 (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ (/ -1 (cbrt (acos a))) (cbrt (acos a))) (/ -1 (sqrt (acos a))) -1 (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 9.075 * * * [progress]: adding candidates to table 9.797 * [progress]: [Phase 3 of 3] Extracting. 9.797 * * [regime]: Finding splitpoints for: (# # # # # # # #) 9.798 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 9.798 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # #) 9.866 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 9.921 * * * [regime]: Found split indices: #