92.835 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (/ a (- (acos a))) 0.023 * * [simplify]: iteration 0: 4 enodes 0.024 * * [simplify]: iteration complete: 4 enodes 0.024 * * [simplify]: Extracting #0: cost 1 inf + 0 0.024 * * [simplify]: Extracting #1: cost 3 inf + 0 0.024 * * [simplify]: Extracting #2: cost 3 inf + 1 0.024 * * [simplify]: Extracting #3: cost 0 inf + 394 0.024 * [simplify]: Simplified to: (/ a (- (acos a))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.042 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.042 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.042 * [taylor]: Taking taylor expansion of -1 in a 0.042 * [backup-simplify]: Simplify -1 into -1 0.042 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.042 * [taylor]: Taking taylor expansion of a in a 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [taylor]: Taking taylor expansion of (acos a) in a 0.043 * [backup-simplify]: Simplify (acos a) into (acos a) 0.043 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.043 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.043 * [taylor]: Taking taylor expansion of -1 in a 0.043 * [backup-simplify]: Simplify -1 into -1 0.043 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.043 * [taylor]: Taking taylor expansion of a in a 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [taylor]: Taking taylor expansion of (acos a) in a 0.043 * [backup-simplify]: Simplify (acos a) into (acos a) 0.043 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.043 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.043 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.043 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.044 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.045 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.048 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [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 0.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.052 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.052 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.052 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.052 * [taylor]: Taking taylor expansion of -1 in a 0.052 * [backup-simplify]: Simplify -1 into -1 0.052 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.052 * [taylor]: Taking taylor expansion of a in a 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.052 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.052 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.052 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.052 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.052 * [taylor]: Taking taylor expansion of -1 in a 0.052 * [backup-simplify]: Simplify -1 into -1 0.052 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.052 * [taylor]: Taking taylor expansion of a in a 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.053 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.053 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.053 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.053 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.053 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.057 * [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 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.058 * [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 0.058 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.060 * [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 0.060 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.063 * [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 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.063 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.063 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.063 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.063 * [taylor]: Taking taylor expansion of a in a 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.063 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.063 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.064 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.064 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.064 * [taylor]: Taking taylor expansion of a in a 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.064 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.064 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.065 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.065 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.070 * [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 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.072 * [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 0.072 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.074 * [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 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.074 * * * [progress]: simplifying candidates 0.075 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.076 * * [simplify]: iteration 0: 96 enodes 0.108 * * [simplify]: iteration 1: 173 enodes 0.160 * * [simplify]: iteration 2: 466 enodes 0.391 * * [simplify]: iteration 3: 2093 enodes 1.241 * * [simplify]: iteration complete: 5000 enodes 1.242 * * [simplify]: Extracting #0: cost 65 inf + 0 1.243 * * [simplify]: Extracting #1: cost 663 inf + 44 1.248 * * [simplify]: Extracting #2: cost 1308 inf + 12084 1.282 * * [simplify]: Extracting #3: cost 640 inf + 213544 1.341 * * [simplify]: Extracting #4: cost 41 inf + 343143 1.418 * * [simplify]: Extracting #5: cost 4 inf + 354388 1.498 * * [simplify]: Extracting #6: cost 0 inf + 355660 1.560 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (/ (sqrt (- (acos a))) (cbrt a))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (cbrt a) (/ (* (- (cbrt (acos a))) (cbrt (acos a))) (cbrt a))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (/ (sqrt a) (cbrt (acos a))) (- (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (/ a -1) (/ (/ a (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (- (/ (acos a) (sqrt a))) (- (/ (acos a) a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 1.566 * * * [progress]: adding candidates to table 1.846 * * [progress]: iteration 2 / 4 1.846 * * * [progress]: picking best candidate 1.880 * * * * [pick]: Picked # 1.880 * * * [progress]: localizing error 1.889 * * * [progress]: generating rewritten candidates 1.889 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.895 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.926 * * * [progress]: generating series expansions 1.926 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.927 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 1.927 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 1.927 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.927 * [taylor]: Taking taylor expansion of -1 in a 1.927 * [backup-simplify]: Simplify -1 into -1 1.927 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.927 * [taylor]: Taking taylor expansion of (acos a) in a 1.927 * [backup-simplify]: Simplify (acos a) into (acos a) 1.927 * [taylor]: Taking taylor expansion of a in a 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.927 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.927 * [taylor]: Taking taylor expansion of -1 in a 1.927 * [backup-simplify]: Simplify -1 into -1 1.927 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.927 * [taylor]: Taking taylor expansion of (acos a) in a 1.927 * [backup-simplify]: Simplify (acos a) into (acos a) 1.927 * [taylor]: Taking taylor expansion of a in a 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.927 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.927 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.940 * [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 1.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.942 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 1.942 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 1.942 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.942 * [taylor]: Taking taylor expansion of -1 in a 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.942 * [taylor]: Taking taylor expansion of a in a 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.942 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.942 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.942 * [taylor]: Taking taylor expansion of -1 in a 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.942 * [taylor]: Taking taylor expansion of a in a 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.942 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.942 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.942 * [backup-simplify]: Simplify (* -1 0) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.943 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 1.943 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 1.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.944 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.946 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.950 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.958 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.959 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 1.959 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 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)) 1.959 * [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)) 1.959 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.960 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 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 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 0) (* 0 (acos (/ -1 a)))))))) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 1.971 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.971 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 1.971 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.971 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.971 * [taylor]: Taking taylor expansion of -1 in a 1.971 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.972 * [taylor]: Taking taylor expansion of a in a 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [taylor]: Taking taylor expansion of (acos a) in a 1.972 * [backup-simplify]: Simplify (acos a) into (acos a) 1.972 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.972 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.972 * [taylor]: Taking taylor expansion of -1 in a 1.972 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.972 * [taylor]: Taking taylor expansion of a in a 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [taylor]: Taking taylor expansion of (acos a) in a 1.972 * [backup-simplify]: Simplify (acos a) into (acos a) 1.972 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.972 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.972 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.973 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.973 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.975 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.976 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.977 * [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 1.979 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [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 1.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.982 * [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 1.984 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.985 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 1.985 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 1.985 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.985 * [taylor]: Taking taylor expansion of -1 in a 1.985 * [backup-simplify]: Simplify -1 into -1 1.985 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.985 * [taylor]: Taking taylor expansion of a in a 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.985 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.985 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.986 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.986 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.986 * [taylor]: Taking taylor expansion of -1 in a 1.986 * [backup-simplify]: Simplify -1 into -1 1.986 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.986 * [taylor]: Taking taylor expansion of a in a 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.986 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.986 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.987 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.987 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.990 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.993 * [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 1.993 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.996 * [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 1.996 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.999 * [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 1.999 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.003 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.003 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.003 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.003 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.003 * [taylor]: Taking taylor expansion of a in a 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.003 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.003 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.004 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.004 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.004 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.004 * [taylor]: Taking taylor expansion of a in a 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.004 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.004 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.005 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.005 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.010 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.025 * * * [progress]: simplifying candidates 2.032 * [simplify]: Simplifying: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 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a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 2.039 * * [simplify]: iteration 0: 292 enodes 2.248 * * [simplify]: iteration 1: 790 enodes 2.737 * * [simplify]: iteration 2: 4007 enodes 3.615 * * [simplify]: iteration complete: 5000 enodes 3.615 * * [simplify]: Extracting #0: cost 129 inf + 0 3.625 * * [simplify]: Extracting #1: cost 1518 inf + 210 3.639 * * [simplify]: Extracting #2: cost 1599 inf + 25411 3.663 * * [simplify]: Extracting #3: cost 723 inf + 224407 3.722 * * [simplify]: Extracting #4: cost 79 inf + 393813 3.799 * * [simplify]: Extracting #5: cost 1 inf + 415566 3.869 * * [simplify]: Extracting #6: cost 0 inf + 415898 3.941 * [simplify]: Simplified to: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (- (/ (acos a) a))) (- (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a))) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (- (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a))) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (- (/ (acos a) (sqrt a))) 1 (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (cbrt (acos a))) (/ (sqrt a) (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (* (- (cbrt (acos a))) (cbrt (acos a))) (/ (cbrt (acos a)) a) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt (acos a)) (cbrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (- (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (- (/ (cbrt (acos a)) a)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (- (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt (acos a)) (sqrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (sqrt (acos a)) (- (/ (sqrt (acos a)) a)) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (- (/ (acos a) (sqrt a))) 1 (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (- (/ (acos a) (sqrt a))) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (expm1 (/ (* 1 a) (- (acos a)))) (log1p (/ (* 1 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 (/ (* 1 a) (- (acos a)))) (* (/ (/ 1 (/ (- (acos a)) a)) (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (* (/ (/ 1 (/ (- (acos a)) a)) (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (* (cbrt (/ (* 1 a) (- (acos a)))) (cbrt (/ (* 1 a) (- (acos a))))) (cbrt (/ (* 1 a) (- (acos a)))) (* (/ (/ 1 (/ (- (acos a)) a)) (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (sqrt (/ (* 1 a) (- (acos a)))) (sqrt (/ (* 1 a) (- (acos a)))) -1 (/ (acos a) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a))) (* (cbrt a) (/ 1 (cbrt (- (acos a))))) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (* (/ 1 (cbrt (- (acos a)))) a) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (* (cbrt a) (/ 1 (sqrt (- (acos 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 (- (/ (acos a) (sqrt a)))) 1 (/ (* 1 a) (- (acos a))) (- (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (acos a))) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ (* 1 (cbrt a)) (cbrt (acos a))) (* (sqrt a) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ (* 1 a) (cbrt (acos a))) (* (/ 1 (- (/ (sqrt (acos a)) (cbrt a)))) (cbrt a)) (/ (* 1 (cbrt a)) (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (* (sqrt a) (/ 1 (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (/ (* 1 a) (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (acos a))) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (* (/ 1 (acos a)) a) (/ 1 (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (- (/ (cbrt (acos a)) (cbrt a)))) (/ (* 1 (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (cbrt (acos a))) (sqrt 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)))) (* (sqrt a) (/ 1 (sqrt (acos a)))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (/ (* 1 a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ 1 (- (/ (acos a) (sqrt a)))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a))) (* (cbrt a) (/ 1 (cbrt (- (acos a))))) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (* (/ 1 (cbrt (- (acos a)))) a) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (* (cbrt a) (/ 1 (sqrt (- (acos 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 (- (/ (acos a) (sqrt a)))) 1 (/ (* 1 a) (- (acos a))) (- (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (acos a))) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ (* 1 (cbrt a)) (cbrt (acos a))) (* (sqrt a) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ (* 1 a) (cbrt (acos a))) (* (/ 1 (- (/ (sqrt (acos a)) (cbrt a)))) (cbrt a)) (/ (* 1 (cbrt a)) (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (* (sqrt a) (/ 1 (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (/ (* 1 a) (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (acos a))) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (* (/ 1 (acos a)) a) (/ 1 (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (- (/ (cbrt (acos a)) (cbrt a)))) (/ (* 1 (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (cbrt (acos a))) (sqrt 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)))) (* (sqrt a) (/ 1 (sqrt (acos a)))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (/ (* 1 a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ 1 (- (/ (acos a) (sqrt a)))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a))) (* (cbrt a) (/ 1 (cbrt (- (acos a))))) (* (/ 1 (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (* (/ 1 (cbrt (- (acos a)))) a) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (* (cbrt a) (/ 1 (sqrt (- (acos 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 (- (/ (acos a) (sqrt a)))) 1 (/ (* 1 a) (- (acos a))) (- (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (acos a))) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ (* 1 (cbrt a)) (cbrt (acos a))) (* (sqrt a) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ (* 1 a) (cbrt (acos a))) (* (/ 1 (- (/ (sqrt (acos a)) (cbrt a)))) (cbrt a)) (/ (* 1 (cbrt a)) (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (* (sqrt a) (/ 1 (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (/ (* 1 a) (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (acos a))) (- (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (* (/ 1 (acos a)) a) (/ 1 (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (- (/ (cbrt (acos a)) (cbrt a)))) (/ (* 1 (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (cbrt (acos a))) (sqrt 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)))) (* (sqrt a) (/ 1 (sqrt (acos a)))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (/ (* 1 a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (/ 1 (- (/ (acos a) (sqrt a)))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (/ (* 1 a) (- (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)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) (sqrt 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))))) (* (sqrt a) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (* (/ 1 (- (/ (sqrt (acos a)) (cbrt a)))) (cbrt a)) (* (/ 1 (- (sqrt (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 (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (* 1 (* (cbrt a) (cbrt a))) (sqrt (acos a))) (* (sqrt a) (/ 1 (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 3.953 * * * [progress]: adding candidates to table 4.728 * * [progress]: iteration 3 / 4 4.728 * * * [progress]: picking best candidate 4.786 * * * * [pick]: Picked # 4.787 * * * [progress]: localizing error 4.797 * * * [progress]: generating rewritten candidates 4.797 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.831 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.923 * * * [progress]: generating series expansions 4.923 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.924 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 4.924 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.924 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.924 * [taylor]: Taking taylor expansion of -1 in a 4.924 * [backup-simplify]: Simplify -1 into -1 4.924 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.924 * [taylor]: Taking taylor expansion of a in a 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of (acos a) in a 4.924 * [backup-simplify]: Simplify (acos a) into (acos a) 4.924 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.924 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.924 * [taylor]: Taking taylor expansion of -1 in a 4.924 * [backup-simplify]: Simplify -1 into -1 4.924 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.924 * [taylor]: Taking taylor expansion of a in a 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of (acos a) in a 4.924 * [backup-simplify]: Simplify (acos a) into (acos a) 4.924 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.925 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.925 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.925 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.926 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.927 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.929 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.929 * [backup-simplify]: Simplify 0 into 0 4.930 * [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 4.931 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [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 4.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.934 * [backup-simplify]: Simplify 0 into 0 4.935 * [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 4.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.938 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 4.938 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 4.938 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.938 * [taylor]: Taking taylor expansion of -1 in a 4.938 * [backup-simplify]: Simplify -1 into -1 4.938 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.938 * [taylor]: Taking taylor expansion of a in a 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 1 into 1 4.938 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.938 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.938 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.939 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.939 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.939 * [taylor]: Taking taylor expansion of -1 in a 4.939 * [backup-simplify]: Simplify -1 into -1 4.939 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.939 * [taylor]: Taking taylor expansion of a in a 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 1 into 1 4.939 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.939 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.939 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.940 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.940 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 4.941 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.941 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 4.943 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 4.945 * [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 4.945 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 4.948 * [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 4.948 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 4.951 * [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 4.951 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 4.955 * [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 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 4.955 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 4.955 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 4.955 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.955 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.955 * [taylor]: Taking taylor expansion of a in a 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 1 into 1 4.956 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.956 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.956 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.957 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.957 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.957 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.957 * [taylor]: Taking taylor expansion of a in a 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.957 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.957 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.958 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.958 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.958 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 4.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.959 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 4.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.961 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 4.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.964 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 4.967 * [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 4.967 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 4.970 * [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 4.970 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 4.974 * [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 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 4.974 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.974 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 4.974 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 4.974 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.974 * [taylor]: Taking taylor expansion of -1 in a 4.974 * [backup-simplify]: Simplify -1 into -1 4.974 * [taylor]: Taking taylor expansion of (acos a) in a 4.975 * [backup-simplify]: Simplify (acos a) into (acos a) 4.975 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.975 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.975 * [taylor]: Taking taylor expansion of -1 in a 4.975 * [backup-simplify]: Simplify -1 into -1 4.975 * [taylor]: Taking taylor expansion of (acos a) in a 4.975 * [backup-simplify]: Simplify (acos a) into (acos a) 4.975 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.975 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.975 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.976 * [backup-simplify]: Simplify 0 into 0 4.977 * [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 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [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 4.977 * [backup-simplify]: Simplify 0 into 0 4.978 * [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 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.978 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 4.978 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 4.978 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.978 * [taylor]: Taking taylor expansion of -1 in a 4.978 * [backup-simplify]: Simplify -1 into -1 4.978 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.978 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.979 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.979 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.979 * [taylor]: Taking taylor expansion of -1 in a 4.979 * [backup-simplify]: Simplify -1 into -1 4.979 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.979 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.979 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.979 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.979 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.979 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.980 * [backup-simplify]: Simplify 0 into 0 4.980 * [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 4.980 * [backup-simplify]: Simplify 0 into 0 4.981 * [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 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [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 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [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 4.982 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 4.983 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 4.983 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 4.983 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.983 * [taylor]: Taking taylor expansion of -1 in a 4.983 * [backup-simplify]: Simplify -1 into -1 4.983 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.983 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.983 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.983 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.983 * [taylor]: Taking taylor expansion of -1 in a 4.983 * [backup-simplify]: Simplify -1 into -1 4.983 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.983 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.983 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.983 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.983 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [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 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [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 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [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 4.984 * [backup-simplify]: Simplify 0 into 0 4.985 * [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 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 4.985 * * * [progress]: simplifying candidates 5.002 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ 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(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 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) a (- (* (/ 1 a) (acos a))) (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (* (/ 1 (- (acos a))) (cbrt a)) (cbrt a)) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (* (/ 1 (- (acos a))) (cbrt a)) (cbrt a)) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (* (/ 1 (- (acos a))) (cbrt a)) (cbrt a)) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) (/ (/ 1 a) (sqrt (/ 1 (- (acos a))))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (- (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (- (* (/ 1 a) (acos a))) (- (* (/ 1 a) (acos a))) (- (* (/ 1 a) (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (expm1 (/ 1 (- (acos a)))) (log1p (/ 1 (- (acos a)))) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ 1 (- (* (* (acos a) (acos a)) (acos a)))) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (* (/ (/ 1 (- (acos a))) (- (acos a))) (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) -1 (acos a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (- (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (- (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (- (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (* (cbrt (acos a)) (- (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 7.800 * * * [progress]: adding candidates to table 8.917 * * [progress]: iteration 4 / 4 8.917 * * * [progress]: picking best candidate 8.947 * * * * [pick]: Picked # 8.947 * * * [progress]: localizing error 8.971 * * * [progress]: generating rewritten candidates 8.971 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.976 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 8.990 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.044 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 9.110 * * * [progress]: generating series expansions 9.110 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.111 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) into (/ (cbrt -1) (acos a)) 9.111 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in (a) around 0 9.111 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 9.111 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.111 * [taylor]: Taking taylor expansion of -1 in a 9.111 * [backup-simplify]: Simplify -1 into -1 9.112 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.114 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.114 * [taylor]: Taking taylor expansion of (acos a) in a 9.114 * [backup-simplify]: Simplify (acos a) into (acos a) 9.114 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.114 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 9.114 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.115 * [taylor]: Taking taylor expansion of -1 in a 9.115 * [backup-simplify]: Simplify -1 into -1 9.115 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.116 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.116 * [taylor]: Taking taylor expansion of (acos a) in a 9.116 * [backup-simplify]: Simplify (acos a) into (acos a) 9.117 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.117 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.118 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 9.118 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.121 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.121 * [backup-simplify]: Simplify 0 into 0 9.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.124 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.124 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.127 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.128 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.128 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.130 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.130 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a)))))) into (/ (cbrt -1) (acos (/ 1 a))) 9.131 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in (a) around 0 9.131 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 9.131 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.131 * [taylor]: Taking taylor expansion of -1 in a 9.131 * [backup-simplify]: Simplify -1 into -1 9.131 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.131 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.131 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.131 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.132 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.132 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 9.132 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.132 * [taylor]: Taking taylor expansion of -1 in a 9.132 * [backup-simplify]: Simplify -1 into -1 9.132 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.133 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.133 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.133 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.133 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.134 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.134 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.135 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.137 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.139 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.140 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.140 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.142 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) into (/ (cbrt -1) (acos a)) 9.143 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) (acos (/ 1 (- a))))))) into (/ (cbrt -1) (acos (/ -1 a))) 9.143 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in (a) around 0 9.143 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 9.143 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.143 * [taylor]: Taking taylor expansion of -1 in a 9.143 * [backup-simplify]: Simplify -1 into -1 9.143 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.143 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.143 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.143 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.144 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.144 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 9.144 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.144 * [taylor]: Taking taylor expansion of -1 in a 9.144 * [backup-simplify]: Simplify -1 into -1 9.144 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.145 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.145 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.145 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.145 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.152 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.154 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 9.154 * [backup-simplify]: Simplify 0 into 0 9.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.156 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.159 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.159 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.162 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.162 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.165 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.168 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 (/ 1 (- a))))) into (/ (cbrt -1) (acos a)) 9.169 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 9.170 * [backup-simplify]: Simplify (* (* (acos a) (acos a)) (acos a)) into (pow (acos a) 3) 9.170 * [approximate]: Taking taylor expansion of (pow (acos a) 3) in (a) around 0 9.170 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 9.170 * [taylor]: Taking taylor expansion of (acos a) in a 9.170 * [backup-simplify]: Simplify (acos a) into (acos a) 9.170 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 9.170 * [taylor]: Taking taylor expansion of (acos a) in a 9.170 * [backup-simplify]: Simplify (acos a) into (acos a) 9.170 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 9.170 * [backup-simplify]: Simplify (* (acos a) (pow (acos a) 2)) into (pow (acos a) 3) 9.170 * [backup-simplify]: Simplify (pow (acos a) 3) into (pow (acos a) 3) 9.171 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (acos a))) into 0 9.171 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (pow (acos a) 2))) into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (acos a)))) into 0 9.172 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))) into 0 9.172 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 9.174 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2))))) into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 9.176 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))))) into 0 9.176 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 9.178 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2))))))) into 0 9.178 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 9.181 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))))))) into 0 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify (pow (acos a) 3) into (pow (acos a) 3) 9.181 * [backup-simplify]: Simplify (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 3) 9.181 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in (a) around 0 9.181 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 9.181 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.181 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.181 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 9.181 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.181 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.181 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 9.181 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (pow (acos (/ 1 a)) 2)) into (pow (acos (/ 1 a)) 3) 9.181 * [backup-simplify]: Simplify (pow (acos (/ 1 a)) 3) into (pow (acos (/ 1 a)) 3) 9.182 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (acos (/ 1 a)))) into 0 9.182 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (pow (acos (/ 1 a)) 2))) into 0 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))) into 0 9.183 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))) into 0 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 9.184 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2))))) into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 9.185 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))))) into 0 9.186 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 9.188 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2))))))) into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 9.190 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))))))) into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify (pow (acos (/ 1 (/ 1 a))) 3) into (pow (acos a) 3) 9.190 * [backup-simplify]: Simplify (* (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) (acos (/ 1 (- a)))) into (pow (acos (/ -1 a)) 3) 9.190 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in (a) around 0 9.190 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 9.191 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.191 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.191 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 9.191 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.191 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.191 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (acos (/ -1 a))) into (pow (acos (/ -1 a)) 2) 9.191 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (pow (acos (/ -1 a)) 2)) into (pow (acos (/ -1 a)) 3) 9.191 * [backup-simplify]: Simplify (pow (acos (/ -1 a)) 3) into (pow (acos (/ -1 a)) 3) 9.191 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (acos (/ -1 a)))) into 0 9.191 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (pow (acos (/ -1 a)) 2))) into 0 9.191 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))) into 0 9.192 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))) into 0 9.192 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 9.193 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2))))) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 9.195 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))))) into 0 9.195 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 9.197 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2))))))) into 0 9.197 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 9.200 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))))))) into 0 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify (pow (acos (/ -1 (/ 1 (- a)))) 3) into (pow (acos a) 3) 9.200 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.200 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (/ 1 a)) into (/ (* (cbrt -1) a) (acos a)) 9.200 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in (a) around 0 9.200 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 9.200 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 9.200 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.200 * [taylor]: Taking taylor expansion of -1 in a 9.200 * [backup-simplify]: Simplify -1 into -1 9.201 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.201 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.201 * [taylor]: Taking taylor expansion of a in a 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 1 into 1 9.201 * [taylor]: Taking taylor expansion of (acos a) in a 9.201 * [backup-simplify]: Simplify (acos a) into (acos a) 9.202 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 9.203 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 9.203 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.204 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 9.204 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 9.204 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.204 * [taylor]: Taking taylor expansion of -1 in a 9.204 * [backup-simplify]: Simplify -1 into -1 9.204 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.205 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.205 * [taylor]: Taking taylor expansion of a in a 9.205 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify 1 into 1 9.205 * [taylor]: Taking taylor expansion of (acos a) in a 9.205 * [backup-simplify]: Simplify (acos a) into (acos a) 9.206 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 9.208 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 9.208 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.209 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 9.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.212 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 9.213 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 9.213 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.216 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.217 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.217 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.220 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.222 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.225 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.227 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.227 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.231 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.232 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.236 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.238 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.238 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos a)) a) into (/ (* (cbrt -1) a) (acos a)) 9.239 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (* (acos (/ 1 a)) (acos (/ 1 a))) (acos (/ 1 a)))))) (/ 1 (/ 1 a))) into (/ (cbrt -1) (* a (acos (/ 1 a)))) 9.239 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in (a) around 0 9.239 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in a 9.239 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.239 * [taylor]: Taking taylor expansion of -1 in a 9.239 * [backup-simplify]: Simplify -1 into -1 9.240 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.241 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.241 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 9.241 * [taylor]: Taking taylor expansion of a in a 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.241 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.241 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.241 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 9.242 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 9.242 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.242 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in a 9.242 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.242 * [taylor]: Taking taylor expansion of -1 in a 9.242 * [backup-simplify]: Simplify -1 into -1 9.243 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.244 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.244 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 9.244 * [taylor]: Taking taylor expansion of a in a 9.244 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify 1 into 1 9.244 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.244 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.244 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 9.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 9.245 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.246 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 9.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 9.248 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 9.248 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 9.252 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.252 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 9.257 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.257 * [backup-simplify]: Simplify 0 into 0 9.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 9.262 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.262 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 9.267 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.268 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 9.274 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.274 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (/ (* (cbrt -1) a) (acos a)) 9.276 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) (acos (/ 1 (- a))))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) 9.276 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in (a) around 0 9.276 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in a 9.276 * [taylor]: Taking taylor expansion of -1 in a 9.276 * [backup-simplify]: Simplify -1 into -1 9.276 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ -1 a)))) in a 9.276 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.276 * [taylor]: Taking taylor expansion of -1 in a 9.276 * [backup-simplify]: Simplify -1 into -1 9.277 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.277 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.277 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.278 * [taylor]: Taking taylor expansion of a in a 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 1 into 1 9.278 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.278 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.278 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 9.278 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 9.279 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.279 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in a 9.279 * [taylor]: Taking taylor expansion of -1 in a 9.279 * [backup-simplify]: Simplify -1 into -1 9.279 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ -1 a)))) in a 9.279 * [taylor]: Taking taylor expansion of (cbrt -1) in a 9.279 * [taylor]: Taking taylor expansion of -1 in a 9.279 * [backup-simplify]: Simplify -1 into -1 9.280 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.281 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.281 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.281 * [taylor]: Taking taylor expansion of a in a 9.281 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify 1 into 1 9.281 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.281 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.281 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 9.282 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 9.283 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 9.284 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 9.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 9.285 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 9.286 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))) into 0 9.287 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 9.291 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))) into 0 9.292 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 9.300 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.302 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))) into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 9.307 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))) into 0 9.310 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 9.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 9.313 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.315 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))))) into 0 9.315 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 9.318 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.320 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))))) into 0 9.320 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify (* (* -1 (/ (cbrt -1) (acos (/ -1 (/ 1 (- a)))))) (/ 1 (/ 1 (- a)))) into (/ (* (cbrt -1) a) (acos a)) 9.321 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 9.321 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 9.321 * [approximate]: Taking taylor expansion of (pow (acos a) 2) in (a) around 0 9.321 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 9.321 * [taylor]: Taking taylor expansion of (acos a) in a 9.321 * [backup-simplify]: Simplify (acos a) into (acos a) 9.321 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 9.321 * [taylor]: Taking taylor expansion of (acos a) in a 9.321 * [backup-simplify]: Simplify (acos a) into (acos a) 9.321 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 9.321 * [backup-simplify]: Simplify (pow (acos a) 2) into (pow (acos a) 2) 9.321 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (acos a))) into 0 9.321 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (acos a)))) into 0 9.322 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 9.325 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify (pow (acos a) 2) into (pow (acos a) 2) 9.326 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 9.326 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in (a) around 0 9.326 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 9.326 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.326 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.326 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 9.326 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.326 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.327 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 9.327 * [backup-simplify]: Simplify (pow (acos (/ 1 a)) 2) into (pow (acos (/ 1 a)) 2) 9.327 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (acos (/ 1 a)))) into 0 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))) into 0 9.327 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 9.329 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 9.331 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify (pow (acos (/ 1 (/ 1 a))) 2) into (pow (acos a) 2) 9.331 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) into (pow (acos (/ -1 a)) 2) 9.331 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in (a) around 0 9.332 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 9.332 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.332 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.332 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 9.332 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.332 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.332 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (acos (/ -1 a))) into (pow (acos (/ -1 a)) 2) 9.332 * [backup-simplify]: Simplify (pow (acos (/ -1 a)) 2) into (pow (acos (/ -1 a)) 2) 9.332 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (acos (/ -1 a)))) into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))) into 0 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 9.333 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 9.334 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 9.336 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify (pow (acos (/ -1 (/ 1 (- a)))) 2) into (pow (acos a) 2) 9.337 * * * [progress]: simplifying candidates 9.345 * [simplify]: Simplifying: (expm1 (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (log1p (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (log (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (exp (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (* (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (sqrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (sqrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* (* (acos a) (acos a)) (acos a)))) (cbrt (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (/ (cbrt 1) (cbrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (cbrt 1) (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) -1)) (cbrt (/ (cbrt 1) (* (* (acos a) (acos a)) (acos a)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (- (* (acos a) (acos a))))) (cbrt (/ (cbrt 1) (acos a))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (acos a) (acos a)))) (cbrt (/ (cbrt 1) (- (acos a)))) (cbrt (/ (sqrt 1) (* (cbrt (- (* (* (acos a) (acos a)) (acos a)))) (cbrt (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (/ (sqrt 1) (cbrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (sqrt 1) (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (sqrt 1) (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ (sqrt 1) 1)) (cbrt (/ (sqrt 1) (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ (sqrt 1) -1)) (cbrt (/ (sqrt 1) (* (* (acos a) (acos a)) (acos a)))) (cbrt (/ (sqrt 1) (- (* (acos a) (acos a))))) (cbrt (/ (sqrt 1) (acos a))) (cbrt (/ (sqrt 1) (* (acos a) (acos a)))) (cbrt (/ (sqrt 1) (- (acos a)))) (cbrt (/ 1 (* (cbrt (- (* (* (acos a) (acos a)) (acos a)))) (cbrt (- (* (* (acos a) (acos a)) (acos a))))))) (cbrt (/ 1 (cbrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ 1 (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ 1 (sqrt (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt (/ 1 1)) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt (/ 1 -1)) (cbrt (/ 1 (* (* (acos a) (acos a)) (acos a)))) (cbrt (/ 1 (- (* (acos a) (acos a))))) (cbrt (/ 1 (acos a))) (cbrt (/ 1 (* (acos a) (acos a)))) (cbrt (/ 1 (- (acos a)))) (cbrt 1) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt 1) (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a))))) (cbrt 1) (cbrt (- (* (* (acos a) (acos a)) (acos a)))) (* (cbrt (cbrt (/ 1 (- (* (* (acos a) (acos a)) (acos a)))))) (cbrt 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(acos a)) (pow (acos a) 2) (pow (acos a) 2) (pow (acos a) 2) 9.361 * * [simplify]: iteration 0: 732 enodes 9.913 * * [simplify]: iteration 1: 1822 enodes 10.269 * * [simplify]: iteration complete: 5000 enodes 10.270 * * [simplify]: Extracting #0: cost 180 inf + 0 10.275 * * [simplify]: Extracting #1: cost 1289 inf + 980 10.296 * * [simplify]: Extracting #2: cost 1325 inf + 64118 10.347 * * [simplify]: Extracting #3: cost 657 inf + 221681 10.397 * * [simplify]: Extracting #4: cost 225 inf + 385489 10.478 * * [simplify]: Extracting #5: cost 11 inf + 481108 10.605 * * [simplify]: Extracting #6: cost 0 inf + 486680 10.721 * [simplify]: Simplified to: (expm1 (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (log1p (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (log (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (exp (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (* (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a)))))) (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos 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(cbrt -1) (acos a)) (/ (cbrt -1) (acos a)) (* (acos a) (* (acos a) (acos a))) (* (acos a) (* (acos a) (acos a))) (* (acos a) (* (acos a) (acos a))) (/ (cbrt -1) (/ (acos a) a)) (/ (cbrt -1) (/ (acos a) a)) (/ (cbrt -1) (/ (acos a) a)) (* (acos a) (acos a)) (* (acos a) (acos a)) (* (acos a) (acos a)) 10.820 * * * [progress]: adding candidates to table 12.553 * [progress]: [Phase 3 of 3] Extracting. 12.553 * * [regime]: Finding splitpoints for: (# # # #) 12.554 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 12.554 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # #) 12.612 * * * * [regimes]: Trying to branch on a from (# # # #) 12.672 * * * [regime]: Found split indices: #