8.601 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (/ a (- (acos a))) 0.019 * [simplify]: Sending expressions to egg_math: (/ h0 (- (acos h0))) 0.021 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 4 enodes (cost 3 ) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.052 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.052 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos 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 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 a) in a 0.052 * [backup-simplify]: Simplify (acos a) into (acos a) 0.052 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.052 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos 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 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 a) in a 0.052 * [backup-simplify]: Simplify (acos a) into (acos a) 0.052 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.052 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.052 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.053 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.053 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.054 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [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 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [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 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [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 0.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.060 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.060 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.060 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.060 * [taylor]: Taking taylor expansion of -1 in a 0.060 * [backup-simplify]: Simplify -1 into -1 0.060 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.060 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.060 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.060 * [taylor]: Taking taylor expansion of a in a 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.060 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.061 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.061 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.061 * [taylor]: Taking taylor expansion of -1 in a 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.061 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.061 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.061 * [taylor]: Taking taylor expansion of a in a 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.061 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.061 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.061 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.062 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.064 * [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 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.065 * [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 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.066 * [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 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.068 * [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 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.068 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.068 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.068 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.068 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.068 * [taylor]: Taking taylor expansion of a in a 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.068 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.068 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.069 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.069 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.069 * [taylor]: Taking taylor expansion of a in a 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.069 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.069 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.069 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.069 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 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 (acos (/ -1 a)))))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 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)))))) 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 (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)))))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.076 * [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 0.076 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.078 * [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 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.078 * * * [progress]: simplifying candidates 0.079 * [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))) 0.080 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (- (acos h0)))) (log1p (/ h0 (- (acos h0)))) (- (log h0) (log (- (acos h0)))) (log (/ h0 (- (acos h0)))) (exp (/ h0 (- (acos h0)))) (/ (* (* h0 h0) h0) (* (* (- (acos h0)) (- (acos h0))) (- (acos h0)))) (* (cbrt (/ h0 (- (acos h0)))) (cbrt (/ h0 (- (acos h0))))) (cbrt (/ h0 (- (acos h0)))) (* (* (/ h0 (- (acos h0))) (/ h0 (- (acos h0)))) (/ h0 (- (acos h0)))) (sqrt (/ h0 (- (acos h0)))) (sqrt (/ h0 (- (acos h0)))) (- h0) (- (- (acos h0))) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (- (acos h0))) (cbrt (- (acos h0))))) (/ (cbrt h0) (cbrt (- (acos h0)))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (- (acos h0)))) (/ (cbrt h0) (sqrt (- (acos h0)))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (- (acos h0))) (/ (* (cbrt h0) (cbrt h0)) -1) (/ (cbrt h0) (acos h0)) (/ (* (cbrt h0) (cbrt h0)) (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ (cbrt h0) (cbrt (acos h0))) (/ (* (cbrt h0) (cbrt h0)) (- (sqrt (acos h0)))) (/ (cbrt h0) (sqrt (acos h0))) (/ (* (cbrt h0) (cbrt h0)) (- 1)) (/ (cbrt h0) (acos h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ (cbrt h0) (- (cbrt (acos h0)))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (acos h0))) (/ (cbrt h0) (- (sqrt (acos h0)))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (- (acos h0))) (/ (sqrt h0) (* (cbrt (- (acos h0))) (cbrt (- (acos h0))))) (/ (sqrt h0) (cbrt (- (acos h0)))) (/ (sqrt h0) (sqrt (- (acos h0)))) (/ (sqrt h0) (sqrt (- (acos h0)))) (/ (sqrt h0) 1) (/ (sqrt h0) (- (acos h0))) (/ (sqrt h0) -1) (/ (sqrt h0) (acos h0)) (/ (sqrt h0) (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ (sqrt h0) (cbrt (acos h0))) (/ (sqrt h0) (- (sqrt (acos h0)))) (/ (sqrt h0) (sqrt (acos h0))) (/ (sqrt h0) (- 1)) (/ (sqrt h0) (acos h0)) (/ (sqrt h0) (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ (sqrt h0) (- (cbrt (acos h0)))) (/ (sqrt h0) (sqrt (acos h0))) (/ (sqrt h0) (- (sqrt (acos h0)))) (/ (sqrt h0) 1) (/ (sqrt h0) (- (acos h0))) (/ 1 (* (cbrt (- (acos h0))) (cbrt (- (acos h0))))) (/ h0 (cbrt (- (acos h0)))) (/ 1 (sqrt (- (acos h0)))) (/ h0 (sqrt (- (acos h0)))) (/ 1 1) (/ h0 (- (acos h0))) (/ 1 -1) (/ h0 (acos h0)) (/ 1 (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ h0 (cbrt (acos h0))) (/ 1 (- (sqrt (acos h0)))) (/ h0 (sqrt (acos h0))) (/ 1 (- 1)) (/ h0 (acos h0)) (/ 1 (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ h0 (- (cbrt (acos h0)))) (/ 1 (sqrt (acos h0))) (/ h0 (- (sqrt (acos h0)))) (/ 1 1) (/ h0 (- (acos h0))) (/ 1 (- (acos h0))) (/ (- (acos h0)) h0) (/ h0 (* (cbrt (- (acos h0))) (cbrt (- (acos h0))))) (/ h0 (sqrt (- (acos h0)))) (/ h0 1) (/ h0 -1) (/ h0 (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ h0 (- (sqrt (acos h0)))) (/ h0 (- 1)) (/ h0 (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ h0 (sqrt (acos h0))) (/ h0 1) (/ (- (acos h0)) (cbrt h0)) (/ (- (acos h0)) (sqrt h0)) (/ (- (acos h0)) h0) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) 0.083 * * [simplify]: iteration 0 : 166 enodes (cost 384 ) 0.087 * * [simplify]: iteration 1 : 493 enodes (cost 372 ) 0.094 * * [simplify]: iteration 2 : 1442 enodes (cost 367 ) 0.115 * * [simplify]: iteration 3 : 3704 enodes (cost 366 ) 0.170 * * [simplify]: iteration 4 : 5002 enodes (cost 366 ) 0.172 * * * [progress]: adding candidates to table 0.309 * * [progress]: iteration 2 / 4 0.309 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.331 * * * [progress]: generating rewritten candidates 0.331 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.339 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.368 * * * [progress]: generating series expansions 0.368 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.369 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 0.369 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.369 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.369 * [taylor]: Taking taylor expansion of -1 in a 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.369 * [taylor]: Taking taylor expansion of (acos a) in a 0.369 * [backup-simplify]: Simplify (acos a) into (acos a) 0.369 * [taylor]: Taking taylor expansion of a in a 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 0.369 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.369 * [taylor]: Taking taylor expansion of -1 in a 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.369 * [taylor]: Taking taylor expansion of (acos a) in a 0.369 * [backup-simplify]: Simplify (acos a) into (acos a) 0.369 * [taylor]: Taking taylor expansion of a in a 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 0.369 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 0.369 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.381 * [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 0.383 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 0.383 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 0.383 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.383 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.383 * [taylor]: Taking taylor expansion of -1 in a 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.383 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.383 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.383 * [taylor]: Taking taylor expansion of a in a 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.383 * [taylor]: Taking taylor expansion of -1 in a 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.383 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.383 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.383 * [taylor]: Taking taylor expansion of a in a 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.384 * [backup-simplify]: Simplify (* -1 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.384 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 0.385 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 0.385 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.386 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 0.395 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 0.395 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.395 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.395 * [taylor]: Taking taylor expansion of a in a 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.395 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.395 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.395 * [taylor]: Taking taylor expansion of a in a 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.395 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.396 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.396 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 0.403 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.403 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 0.403 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.403 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.403 * [taylor]: Taking taylor expansion of -1 in a 0.403 * [backup-simplify]: Simplify -1 into -1 0.403 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.403 * [taylor]: Taking taylor expansion of a in a 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (acos a) in a 0.403 * [backup-simplify]: Simplify (acos a) into (acos a) 0.403 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.403 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.403 * [taylor]: Taking taylor expansion of -1 in a 0.403 * [backup-simplify]: Simplify -1 into -1 0.403 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.403 * [taylor]: Taking taylor expansion of a in a 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (acos a) in a 0.403 * [backup-simplify]: Simplify (acos a) into (acos a) 0.403 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.403 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.403 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.404 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.404 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.405 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.406 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [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 0.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [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 0.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [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 0.410 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.411 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 0.411 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.411 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.411 * [taylor]: Taking taylor expansion of -1 in a 0.411 * [backup-simplify]: Simplify -1 into -1 0.411 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.411 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.411 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.411 * [taylor]: Taking taylor expansion of a in a 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.411 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.411 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.411 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.411 * [taylor]: Taking taylor expansion of -1 in a 0.411 * [backup-simplify]: Simplify -1 into -1 0.411 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.411 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.411 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.411 * [taylor]: Taking taylor expansion of a in a 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.412 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.412 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.412 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.413 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.414 * [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 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.415 * [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 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.416 * [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 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.418 * [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 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.418 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 0.418 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.418 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.418 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.418 * [taylor]: Taking taylor expansion of a in a 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.418 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.418 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.419 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.419 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.419 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.419 * [taylor]: Taking taylor expansion of a in a 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.419 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.419 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.419 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.419 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.424 * [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 0.424 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.430 * [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 0.430 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.432 * [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 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.433 * * * [progress]: simplifying candidates 0.436 * [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 (- 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(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 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a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 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a)) a)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ (sqrt (- (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.438 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- (acos h0)) h0)) (log1p (/ (- (acos h0)) h0)) (- (log (- (acos h0))) (log h0)) (log (/ (- (acos h0)) h0)) (exp (/ (- (acos h0)) h0)) (/ (* (* (- (acos h0)) (- (acos h0))) (- (acos h0))) (* (* h0 h0) h0)) (* (cbrt (/ (- (acos h0)) h0)) (cbrt (/ (- (acos h0)) h0))) (cbrt (/ (- (acos h0)) h0)) (* (* (/ (- (acos h0)) h0) (/ (- (acos h0)) h0)) (/ (- (acos h0)) h0)) (sqrt (/ (- (acos h0)) h0)) (sqrt (/ (- (acos h0)) h0)) (- (- (acos h0))) (- h0) (/ 0 h0) (/ (acos h0) h0) (/ (* (cbrt (- (acos h0))) (cbrt (- (acos h0)))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (- (acos h0))) (cbrt h0)) (/ (* (cbrt (- (acos h0))) (cbrt (- (acos h0)))) (sqrt h0)) (/ (cbrt (- (acos h0))) (sqrt h0)) (/ (* (cbrt (- (acos h0))) (cbrt (- (acos h0)))) 1) (/ (cbrt (- (acos h0))) h0) (/ (sqrt (- (acos h0))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- (acos h0))) (cbrt 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h0))) (cbrt (- (acos h0)))) (sqrt h0))) (/ 1 (/ (* (cbrt (- (acos h0))) (cbrt (- (acos h0)))) 1)) (/ 1 (/ (sqrt (- (acos h0))) (* (cbrt h0) (cbrt h0)))) (/ 1 (/ (sqrt (- (acos h0))) (sqrt h0))) (/ 1 (/ (sqrt (- (acos h0))) 1)) (/ 1 (/ 1 (* (cbrt h0) (cbrt h0)))) (/ 1 (/ 1 (sqrt h0))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt h0) (cbrt h0)))) (/ 1 (/ -1 (sqrt h0))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos h0)) (cbrt (acos h0)))) (* (cbrt h0) (cbrt h0)))) (/ 1 (/ (- (* (cbrt (acos h0)) (cbrt (acos h0)))) (sqrt h0))) (/ 1 (/ (- (* (cbrt (acos h0)) (cbrt (acos h0)))) 1)) (/ 1 (/ (- (sqrt (acos h0))) (* (cbrt h0) (cbrt h0)))) (/ 1 (/ (- (sqrt (acos h0))) (sqrt h0))) (/ 1 (/ (- (sqrt (acos h0))) 1)) (/ 1 (/ (- 1) (* (cbrt h0) (cbrt h0)))) (/ 1 (/ (- 1) (sqrt h0))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos h0)) (cbrt (acos h0))) (* (cbrt h0) (cbrt h0)))) (/ 1 (/ (* (cbrt (acos h0)) (cbrt (acos h0))) (sqrt h0))) (/ 1 (/ (* (cbrt (acos h0)) (cbrt (acos h0))) 1)) (/ 1 (/ (sqrt (acos h0)) (* (cbrt h0) (cbrt h0)))) (/ 1 (/ (sqrt (acos h0)) (sqrt h0))) (/ 1 (/ (sqrt (acos h0)) 1)) (/ 1 (/ 1 (* (cbrt h0) (cbrt h0)))) (/ 1 (/ 1 (sqrt h0))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos h0))) (/ (/ (- (acos h0)) h0) (cbrt 1)) (/ (/ (- (acos h0)) h0) (sqrt 1)) (/ (/ (- (acos h0)) h0) 1) (/ 1 (- (acos h0))) (* -1 (/ (acos h0) h0)) (* -1 (/ (acos h0) h0)) (* -1 (/ (acos h0) h0)) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) 0.446 * * [simplify]: iteration 0 : 663 enodes (cost 1934 ) 0.458 * * [simplify]: iteration 1 : 3064 enodes (cost 1717 ) 0.495 * * [simplify]: iteration 2 : 5001 enodes (cost 1525 ) 0.502 * * * [progress]: adding candidates to table 0.790 * * [progress]: iteration 3 / 4 0.790 * * * [progress]: picking best candidate 0.810 * * * * [pick]: Picked # 0.810 * * * [progress]: localizing error 0.817 * * * [progress]: generating rewritten candidates 0.817 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.849 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.907 * * * [progress]: generating series expansions 0.908 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.908 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 0.908 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.908 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.908 * [taylor]: Taking taylor expansion of -1 in a 0.908 * [backup-simplify]: Simplify -1 into -1 0.908 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.908 * [taylor]: Taking taylor expansion of a in a 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of (acos a) in a 0.908 * [backup-simplify]: Simplify (acos a) into (acos a) 0.908 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.908 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.908 * [taylor]: Taking taylor expansion of -1 in a 0.908 * [backup-simplify]: Simplify -1 into -1 0.908 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.908 * [taylor]: Taking taylor expansion of a in a 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of (acos a) in a 0.908 * [backup-simplify]: Simplify (acos a) into (acos a) 0.908 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.908 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.908 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.909 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.909 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.910 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [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 0.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [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 0.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [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 0.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.916 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 0.916 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.916 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.916 * [taylor]: Taking taylor expansion of -1 in a 0.916 * [backup-simplify]: Simplify -1 into -1 0.916 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.916 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.916 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.916 * [taylor]: Taking taylor expansion of a in a 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.917 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.917 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.917 * [taylor]: Taking taylor expansion of -1 in a 0.917 * [backup-simplify]: Simplify -1 into -1 0.917 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.917 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.917 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.917 * [taylor]: Taking taylor expansion of a in a 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.918 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.918 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.918 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.918 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.921 * [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 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.924 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 0.924 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.924 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.924 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.924 * [taylor]: Taking taylor expansion of a in a 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.924 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.924 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.924 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.924 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.925 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.925 * [taylor]: Taking taylor expansion of a in a 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.925 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.925 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.925 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.925 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.930 * [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 0.930 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.932 * [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 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.934 * [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 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.934 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.934 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 0.934 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 0.934 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.934 * [taylor]: Taking taylor expansion of -1 in a 0.934 * [backup-simplify]: Simplify -1 into -1 0.934 * [taylor]: Taking taylor expansion of (acos a) in a 0.934 * [backup-simplify]: Simplify (acos a) into (acos a) 0.934 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.934 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.934 * [taylor]: Taking taylor expansion of -1 in a 0.934 * [backup-simplify]: Simplify -1 into -1 0.934 * [taylor]: Taking taylor expansion of (acos a) in a 0.934 * [backup-simplify]: Simplify (acos a) into (acos a) 0.934 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.934 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.934 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [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))))) into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.936 * [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 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.936 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 0.936 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 0.936 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.936 * [taylor]: Taking taylor expansion of -1 in a 0.936 * [backup-simplify]: Simplify -1 into -1 0.936 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.936 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.936 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.936 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.936 * [taylor]: Taking taylor expansion of -1 in a 0.936 * [backup-simplify]: Simplify -1 into -1 0.936 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.936 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.936 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.936 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.936 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [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 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [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 0.937 * [backup-simplify]: Simplify 0 into 0 0.938 * [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 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [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 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 0.938 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 0.938 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 0.938 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.938 * [taylor]: Taking taylor expansion of -1 in a 0.938 * [backup-simplify]: Simplify -1 into -1 0.938 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.938 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.938 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.938 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.938 * [taylor]: Taking taylor expansion of -1 in a 0.938 * [backup-simplify]: Simplify -1 into -1 0.938 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.939 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.939 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.939 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.939 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [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 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [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 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [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 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [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 0.940 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 0.941 * * * [progress]: simplifying candidates 0.952 * [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))) (- 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-1) (/ (sqrt 1) (acos h0)) (/ (sqrt 1) (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ (sqrt 1) (cbrt (acos h0))) (/ (sqrt 1) (- (sqrt (acos h0)))) (/ (sqrt 1) (sqrt (acos h0))) (/ (sqrt 1) (- 1)) (/ (sqrt 1) (acos h0)) (/ (sqrt 1) (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ (sqrt 1) (- (cbrt (acos h0)))) (/ (sqrt 1) (sqrt (acos h0))) (/ (sqrt 1) (- (sqrt (acos h0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (acos h0))) (/ 1 (* (cbrt (- (acos h0))) (cbrt (- (acos h0))))) (/ 1 (cbrt (- (acos h0)))) (/ 1 (sqrt (- (acos h0)))) (/ 1 (sqrt (- (acos h0)))) (/ 1 1) (/ 1 (- (acos h0))) (/ 1 -1) (/ 1 (acos h0)) (/ 1 (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ 1 (cbrt (acos h0))) (/ 1 (- (sqrt (acos h0)))) (/ 1 (sqrt (acos h0))) (/ 1 (- 1)) (/ 1 (acos h0)) (/ 1 (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ 1 (- (cbrt (acos h0)))) (/ 1 (sqrt (acos h0))) (/ 1 (- (sqrt (acos h0)))) (/ 1 1) (/ 1 (- (acos h0))) (/ 1 (- (acos h0))) (/ (- (acos h0)) 1) (/ 1 (* (cbrt (- (acos h0))) (cbrt (- (acos h0))))) (/ 1 (sqrt (- (acos h0)))) (/ 1 1) (/ 1 -1) (/ 1 (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ 1 (- (sqrt (acos h0)))) (/ 1 (- 1)) (/ 1 (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ 1 (sqrt (acos h0))) (/ 1 1) (/ (- (acos h0)) (cbrt 1)) (/ (- (acos h0)) (sqrt 1)) (/ (- (acos h0)) 1) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) (/ -1 (acos h0)) (/ -1 (acos h0)) (/ -1 (acos h0)) 0.981 * * [simplify]: iteration 0 : 2521 enodes (cost 7412 ) 1.018 * * [simplify]: iteration 1 : 5002 enodes (cost 6293 ) 1.049 * * * [progress]: adding candidates to table 1.735 * * [progress]: iteration 4 / 4 1.735 * * * [progress]: picking best candidate 1.747 * * * * [pick]: Picked # 1.747 * * * [progress]: localizing error 1.757 * * * [progress]: generating rewritten candidates 1.757 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.769 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.782 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.856 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.015 * * * [progress]: generating series expansions 2.015 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.015 * [backup-simplify]: Simplify (pow (/ 1 (- (acos a))) 3) into (pow (/ -1 (acos a)) 3) 2.015 * [approximate]: Taking taylor expansion of (pow (/ -1 (acos a)) 3) in (a) around 0 2.015 * [taylor]: Taking taylor expansion of (pow (/ -1 (acos a)) 3) in a 2.015 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 2.015 * [taylor]: Taking taylor expansion of -1 in a 2.015 * [backup-simplify]: Simplify -1 into -1 2.015 * [taylor]: Taking taylor expansion of (acos a) in a 2.015 * [backup-simplify]: Simplify (acos a) into (acos a) 2.015 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.015 * [taylor]: Taking taylor expansion of (pow (/ -1 (acos a)) 3) in a 2.015 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 2.015 * [taylor]: Taking taylor expansion of -1 in a 2.015 * [backup-simplify]: Simplify -1 into -1 2.016 * [taylor]: Taking taylor expansion of (acos a) in a 2.016 * [backup-simplify]: Simplify (acos a) into (acos a) 2.016 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.016 * [backup-simplify]: Simplify (* (/ -1 (acos a)) (/ -1 (acos a))) into (/ 1 (pow (acos a) 2)) 2.016 * [backup-simplify]: Simplify (* (/ -1 (acos a)) (/ 1 (pow (acos a) 2))) into (/ -1 (pow (acos a) 3)) 2.016 * [backup-simplify]: Simplify (/ -1 (pow (acos a) 3)) into (/ -1 (pow (acos a) 3)) 2.016 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 2.016 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (* 0 (/ -1 (acos a)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (* 0 (/ 1 (pow (acos a) 2)))) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.017 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (* 0 (/ -1 (acos a))))) into 0 2.018 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos a) 2))))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.019 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos a)))))) into 0 2.019 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos a) 2)))))) into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.021 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos a))))))) into 0 2.021 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos a) 2))))))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.023 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos a)))))))) into 0 2.024 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos a) 2)))))))) into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.026 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos a))))))))) into 0 2.027 * [backup-simplify]: Simplify (+ (* (/ -1 (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos a) 2))))))))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (/ -1 (pow (acos a) 3)) into (/ -1 (pow (acos a) 3)) 2.027 * [backup-simplify]: Simplify (pow (/ 1 (- (acos (/ 1 a)))) 3) into (pow (/ -1 (acos (/ 1 a))) 3) 2.027 * [approximate]: Taking taylor expansion of (pow (/ -1 (acos (/ 1 a))) 3) in (a) around 0 2.027 * [taylor]: Taking taylor expansion of (pow (/ -1 (acos (/ 1 a))) 3) in a 2.027 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 2.027 * [taylor]: Taking taylor expansion of -1 in a 2.027 * [backup-simplify]: Simplify -1 into -1 2.027 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.027 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.027 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.027 * [taylor]: Taking taylor expansion of (pow (/ -1 (acos (/ 1 a))) 3) in a 2.027 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 2.027 * [taylor]: Taking taylor expansion of -1 in a 2.027 * [backup-simplify]: Simplify -1 into -1 2.027 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.028 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.028 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.028 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 a))) (/ -1 (acos (/ 1 a)))) into (/ 1 (pow (acos (/ 1 a)) 2)) 2.028 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 a))) (/ 1 (pow (acos (/ 1 a)) 2))) into (/ -1 (pow (acos (/ 1 a)) 3)) 2.028 * [backup-simplify]: Simplify (/ -1 (pow (acos (/ 1 a)) 3)) into (/ -1 (pow (acos (/ 1 a)) 3)) 2.028 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.028 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (* 0 (/ -1 (acos (/ 1 a))))) into 0 2.029 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (* 0 (/ 1 (pow (acos (/ 1 a)) 2)))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.029 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ 1 a)))))) into 0 2.030 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ 1 a)) 2))))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.031 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ 1 a))))))) into 0 2.031 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ 1 a)) 2)))))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.033 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ 1 a)))))))) into 0 2.034 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ 1 a)) 2))))))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.035 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ 1 a))))))))) into 0 2.036 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ 1 a)) 2)))))))) into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.037 * [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 2.038 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ 1 a)))))))))) into 0 2.039 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ 1 a)) 2))))))))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (/ -1 (pow (acos (/ 1 (/ 1 a))) 3)) into (/ -1 (pow (acos a) 3)) 2.040 * [backup-simplify]: Simplify (pow (/ 1 (- (acos (/ 1 (- a))))) 3) into (pow (/ -1 (acos (/ -1 a))) 3) 2.040 * [approximate]: Taking taylor expansion of (pow (/ -1 (acos (/ -1 a))) 3) in (a) around 0 2.040 * [taylor]: Taking taylor expansion of (pow (/ -1 (acos (/ -1 a))) 3) in a 2.040 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 2.040 * [taylor]: Taking taylor expansion of -1 in a 2.040 * [backup-simplify]: Simplify -1 into -1 2.040 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.040 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.040 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 2.040 * [taylor]: Taking taylor expansion of (pow (/ -1 (acos (/ -1 a))) 3) in a 2.040 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 2.040 * [taylor]: Taking taylor expansion of -1 in a 2.040 * [backup-simplify]: Simplify -1 into -1 2.040 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.040 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.040 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 2.040 * [backup-simplify]: Simplify (* (/ -1 (acos (/ -1 a))) (/ -1 (acos (/ -1 a)))) into (/ 1 (pow (acos (/ -1 a)) 2)) 2.040 * [backup-simplify]: Simplify (* (/ -1 (acos (/ -1 a))) (/ 1 (pow (acos (/ -1 a)) 2))) into (/ -1 (pow (acos (/ -1 a)) 3)) 2.040 * [backup-simplify]: Simplify (/ -1 (pow (acos (/ -1 a)) 3)) into (/ -1 (pow (acos (/ -1 a)) 3)) 2.041 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.041 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (* 0 (/ -1 (acos (/ -1 a))))) into 0 2.041 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (* 0 (/ 1 (pow (acos (/ -1 a)) 2)))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.042 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ -1 a)))))) into 0 2.042 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ -1 a)) 2))))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.043 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ -1 a))))))) into 0 2.044 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ -1 a)) 2)))))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.045 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ -1 a)))))))) into 0 2.046 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ -1 a)) 2))))))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.048 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ -1 a))))))))) into 0 2.049 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ -1 a)) 2)))))))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [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 2.050 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (acos (/ -1 a)))))))))) into 0 2.052 * [backup-simplify]: Simplify (+ (* (/ -1 (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (acos (/ -1 a)) 2))))))))) into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (/ -1 (pow (acos (/ -1 (/ 1 (- a)))) 3)) into (/ -1 (pow (acos a) 3)) 2.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.052 * [backup-simplify]: Simplify (cbrt (pow (/ 1 (- (acos a))) 3)) into (/ (cbrt -1) (acos a)) 2.052 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in (a) around 0 2.052 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 2.052 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.052 * [taylor]: Taking taylor expansion of -1 in a 2.052 * [backup-simplify]: Simplify -1 into -1 2.053 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.053 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.053 * [taylor]: Taking taylor expansion of (acos a) in a 2.053 * [backup-simplify]: Simplify (acos a) into (acos a) 2.054 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 2.054 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 2.054 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.054 * [taylor]: Taking taylor expansion of -1 in a 2.054 * [backup-simplify]: Simplify -1 into -1 2.054 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.055 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.055 * [taylor]: Taking taylor expansion of (acos a) in a 2.055 * [backup-simplify]: Simplify (acos a) into (acos a) 2.055 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 2.055 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 2.056 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.057 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.060 * [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 2.060 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.062 * [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 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.064 * [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 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 2.064 * [backup-simplify]: Simplify (cbrt (pow (/ 1 (- (acos (/ 1 a)))) 3)) into (/ (cbrt -1) (acos (/ 1 a))) 2.064 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in (a) around 0 2.065 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 2.065 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.065 * [taylor]: Taking taylor expansion of -1 in a 2.065 * [backup-simplify]: Simplify -1 into -1 2.065 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.065 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.065 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.065 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.066 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 2.066 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 2.066 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.066 * [taylor]: Taking taylor expansion of -1 in a 2.066 * [backup-simplify]: Simplify -1 into -1 2.066 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.067 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.067 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.067 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.067 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 2.068 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 2.068 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.071 * [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 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.073 * [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 2.073 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.075 * [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 2.075 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.077 * [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 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) into (/ (cbrt -1) (acos a)) 2.078 * [backup-simplify]: Simplify (cbrt (pow (/ 1 (- (acos (/ 1 (- a))))) 3)) into (/ (cbrt -1) (acos (/ -1 a))) 2.078 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in (a) around 0 2.078 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 2.078 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.078 * [taylor]: Taking taylor expansion of -1 in a 2.078 * [backup-simplify]: Simplify -1 into -1 2.078 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.079 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.079 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.079 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.079 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 2.079 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 2.079 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.079 * [taylor]: Taking taylor expansion of -1 in a 2.079 * [backup-simplify]: Simplify -1 into -1 2.080 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.080 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.080 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.080 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.080 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 2.081 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 2.081 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.084 * [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 2.084 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.086 * [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 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.088 * [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 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.090 * [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 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 (/ 1 (- a))))) into (/ (cbrt -1) (acos a)) 2.090 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.090 * [backup-simplify]: Simplify (/ (cbrt (pow (/ 1 (- (acos a))) 3)) (/ 1 a)) into (/ (* (cbrt -1) a) (acos a)) 2.090 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in (a) around 0 2.090 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 2.090 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 2.090 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.090 * [taylor]: Taking taylor expansion of -1 in a 2.091 * [backup-simplify]: Simplify -1 into -1 2.091 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.091 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.091 * [taylor]: Taking taylor expansion of a in a 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of (acos a) in a 2.091 * [backup-simplify]: Simplify (acos a) into (acos a) 2.092 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 2.093 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 2.094 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 2.094 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 2.094 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 2.094 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.094 * [taylor]: Taking taylor expansion of -1 in a 2.094 * [backup-simplify]: Simplify -1 into -1 2.094 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.095 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.095 * [taylor]: Taking taylor expansion of a in a 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [taylor]: Taking taylor expansion of (acos a) in a 2.095 * [backup-simplify]: Simplify (acos a) into (acos a) 2.095 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 2.096 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 2.097 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 2.097 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 2.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.099 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 2.099 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.101 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.108 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.109 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.110 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.111 * [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 2.111 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.113 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.114 * [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 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.116 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.117 * [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 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos a)) a) into (/ (* (cbrt -1) a) (acos a)) 2.117 * [backup-simplify]: Simplify (/ (cbrt (pow (/ 1 (- (acos (/ 1 a)))) 3)) (/ 1 (/ 1 a))) into (/ (cbrt -1) (* (acos (/ 1 a)) a)) 2.117 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* (acos (/ 1 a)) a)) in (a) around 0 2.118 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* (acos (/ 1 a)) a)) in a 2.118 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.118 * [taylor]: Taking taylor expansion of -1 in a 2.118 * [backup-simplify]: Simplify -1 into -1 2.118 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.118 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.118 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.118 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.119 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.119 * [taylor]: Taking taylor expansion of a in a 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 2.119 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 2.119 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 2.119 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* (acos (/ 1 a)) a)) in a 2.119 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.119 * [taylor]: Taking taylor expansion of -1 in a 2.119 * [backup-simplify]: Simplify -1 into -1 2.120 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.120 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.120 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.120 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.120 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.120 * [taylor]: Taking taylor expansion of a in a 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 2.121 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 2.121 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 2.121 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 2.122 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 2.122 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.124 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.125 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.126 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.127 * [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 2.127 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.128 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.129 * [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 2.129 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.131 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.131 * [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 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.133 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.134 * [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 2.134 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (/ (* (cbrt -1) a) (acos a)) 2.135 * [backup-simplify]: Simplify (/ (cbrt (pow (/ 1 (- (acos (/ 1 (- a))))) 3)) (/ 1 (/ 1 (- a)))) into (* -1 (/ (cbrt -1) (* (acos (/ -1 a)) a))) 2.135 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* (acos (/ -1 a)) a))) in (a) around 0 2.135 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* (acos (/ -1 a)) a))) in a 2.135 * [taylor]: Taking taylor expansion of -1 in a 2.135 * [backup-simplify]: Simplify -1 into -1 2.135 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* (acos (/ -1 a)) a)) in a 2.135 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.135 * [taylor]: Taking taylor expansion of -1 in a 2.135 * [backup-simplify]: Simplify -1 into -1 2.135 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.136 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.136 * [taylor]: Taking taylor expansion of (* (acos (/ -1 a)) a) in a 2.136 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.136 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.136 * [taylor]: Taking taylor expansion of a in a 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* (acos (/ -1 a)) 0) into 0 2.136 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 1) (* 0 0)) into (acos (/ -1 a)) 2.137 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 2.137 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* (acos (/ -1 a)) a))) in a 2.137 * [taylor]: Taking taylor expansion of -1 in a 2.137 * [backup-simplify]: Simplify -1 into -1 2.137 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* (acos (/ -1 a)) a)) in a 2.137 * [taylor]: Taking taylor expansion of (cbrt -1) in a 2.137 * [taylor]: Taking taylor expansion of -1 in a 2.137 * [backup-simplify]: Simplify -1 into -1 2.137 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.138 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.138 * [taylor]: Taking taylor expansion of (* (acos (/ -1 a)) a) in a 2.138 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.138 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.138 * [taylor]: Taking taylor expansion of a in a 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (* (acos (/ -1 a)) 0) into 0 2.138 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 1) (* 0 0)) into (acos (/ -1 a)) 2.139 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 2.139 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 2.139 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 2.140 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 2.140 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))) into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.142 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.143 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))) into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.146 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.146 * [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 2.147 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))) into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.149 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.150 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.153 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.154 * [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 2.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))))) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.157 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.158 * [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 2.160 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))))) into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify (* (* -1 (/ (cbrt -1) (acos (/ -1 (/ 1 (- a)))))) (/ 1 (/ 1 (- a)))) into (/ (* (cbrt -1) a) (acos a)) 2.161 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.161 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 2.161 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 2.161 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 2.161 * [taylor]: Taking taylor expansion of -1 in a 2.161 * [backup-simplify]: Simplify -1 into -1 2.161 * [taylor]: Taking taylor expansion of (acos a) in a 2.161 * [backup-simplify]: Simplify (acos a) into (acos a) 2.161 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.161 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 2.161 * [taylor]: Taking taylor expansion of -1 in a 2.161 * [backup-simplify]: Simplify -1 into -1 2.161 * [taylor]: Taking taylor expansion of (acos a) in a 2.161 * [backup-simplify]: Simplify (acos a) into (acos a) 2.161 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.161 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.162 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.163 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 2.163 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 2.163 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 2.163 * [taylor]: Taking taylor expansion of -1 in a 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.163 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.163 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.163 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 2.163 * [taylor]: Taking taylor expansion of -1 in a 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.163 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.163 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.163 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.164 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [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 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 2.165 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 2.165 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 2.166 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 2.166 * [taylor]: Taking taylor expansion of -1 in a 2.166 * [backup-simplify]: Simplify -1 into -1 2.166 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.166 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.166 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 2.166 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 2.166 * [taylor]: Taking taylor expansion of -1 in a 2.166 * [backup-simplify]: Simplify -1 into -1 2.166 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.166 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.166 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 2.166 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 2.166 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.168 * [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 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 2.168 * * * [progress]: simplifying candidates 2.209 * [simplify]: Simplifying: (expm1 (pow (/ 1 (- (acos a))) 3)) (log1p (pow (/ 1 (- (acos a))) 3)) (* (- (log (- (acos a)))) 3) (* (- 0 (log (- (acos a)))) 3) (* (- (log 1) (log (- (acos a)))) 3) (* (log (/ 1 (- (acos a)))) 3) (* (log (/ 1 (- (acos a)))) 3) (* -1 3) (* (- 1) 3) (* 1 3) (pow (/ 1 (- (acos a))) (* (cbrt 3) (cbrt 3))) (pow (/ 1 (- (acos a))) (sqrt 3)) (pow (/ 1 (- (acos a))) 1) (pow (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 3) (pow (cbrt (/ 1 (- (acos a)))) 3) (pow (sqrt (/ 1 (- (acos a)))) 3) (pow (sqrt (/ 1 (- (acos a)))) 3) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) 3) (pow (/ (cbrt 1) (cbrt (- (acos a)))) 3) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (acos a)))) 3) (pow (/ (cbrt 1) (sqrt (- (acos a)))) 3) (pow (/ (* (cbrt 1) (cbrt 1)) 1) 3) (pow (/ (cbrt 1) (- (acos a))) 3) (pow (/ (* (cbrt 1) (cbrt 1)) -1) 3) (pow (/ (cbrt 1) (acos a)) 3) (pow (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (acos a)) (cbrt (acos a))))) 3) (pow (/ (cbrt 1) (cbrt (acos a))) 3) (pow (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (acos a)))) 3) (pow (/ (cbrt 1) (sqrt (acos a))) 3) (pow (/ (* (cbrt 1) (cbrt 1)) (- 1)) 3) (pow (/ (cbrt 1) (acos a)) 3) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (acos a)) (cbrt (acos a)))) 3) (pow (/ (cbrt 1) (- (cbrt (acos a)))) 3) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt (acos a))) 3) (pow (/ (cbrt 1) (- (sqrt (acos a)))) 3) (pow (/ (* (cbrt 1) (cbrt 1)) 1) 3) (pow (/ (cbrt 1) (- (acos a))) 3) (pow (/ (sqrt 1) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) 3) (pow (/ (sqrt 1) (cbrt (- (acos a)))) 3) (pow (/ (sqrt 1) (sqrt (- (acos a)))) 3) (pow (/ (sqrt 1) (sqrt (- (acos a)))) 3) (pow (/ (sqrt 1) 1) 3) (pow (/ (sqrt 1) (- (acos a))) 3) (pow (/ (sqrt 1) -1) 3) (pow (/ (sqrt 1) (acos a)) 3) (pow (/ (sqrt 1) (- (* (cbrt (acos a)) (cbrt (acos a))))) 3) (pow (/ (sqrt 1) (cbrt (acos a))) 3) (pow (/ (sqrt 1) (- (sqrt (acos a)))) 3) (pow (/ (sqrt 1) (sqrt (acos a))) 3) (pow (/ (sqrt 1) (- 1)) 3) (pow (/ (sqrt 1) (acos a)) 3) (pow (/ (sqrt 1) (* (cbrt (acos a)) (cbrt (acos a)))) 3) (pow (/ (sqrt 1) (- (cbrt (acos a)))) 3) (pow (/ (sqrt 1) (sqrt (acos a))) 3) (pow (/ (sqrt 1) (- (sqrt (acos a)))) 3) (pow (/ (sqrt 1) 1) 3) (pow (/ (sqrt 1) (- (acos a))) 3) (pow (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) 3) (pow (/ 1 (cbrt (- (acos a)))) 3) (pow (/ 1 (sqrt (- (acos a)))) 3) (pow (/ 1 (sqrt (- (acos a)))) 3) (pow (/ 1 1) 3) (pow (/ 1 (- (acos a))) 3) (pow (/ 1 -1) 3) (pow (/ 1 (acos a)) 3) (pow (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) 3) (pow (/ 1 (cbrt (acos a))) 3) (pow (/ 1 (- (sqrt (acos a)))) 3) (pow (/ 1 (sqrt (acos a))) 3) (pow (/ 1 (- 1)) 3) (pow (/ 1 (acos a)) 3) (pow (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) 3) (pow (/ 1 (- (cbrt (acos a)))) 3) (pow (/ 1 (sqrt (acos a))) 3) (pow (/ 1 (- (sqrt (acos a)))) 3) (pow (/ 1 1) 3) (pow (/ 1 (- (acos a))) 3) (pow 1 3) (pow (/ 1 (- (acos a))) 3) (pow 1 3) (pow (/ 1 (- (acos a))) 3) (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (log (pow (/ 1 (- (acos a))) 3)) (exp (pow (/ 1 (- (acos a))) 3)) (* (cbrt (pow (/ 1 (- 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(- (acos h0)) 1) (/ 1 (* (cbrt (- (acos h0))) (cbrt (- (acos h0))))) (/ 1 (sqrt (- (acos h0)))) (/ 1 1) (/ 1 -1) (/ 1 (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ 1 (- (sqrt (acos h0)))) (/ 1 (- 1)) (/ 1 (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ 1 (sqrt (acos h0))) (/ 1 1) (/ (- (acos h0)) (cbrt 1)) (/ (- (acos h0)) (sqrt 1)) (/ (- (acos h0)) 1) (/ -1 (pow (acos h0) 3)) (/ -1 (pow (acos h0) 3)) (/ -1 (pow (acos h0) 3)) (/ (cbrt -1) (acos h0)) (/ (cbrt -1) (acos h0)) (/ (cbrt -1) (acos h0)) (/ (* (cbrt -1) h0) (acos h0)) (/ (* (cbrt -1) h0) (acos h0)) (/ (* (cbrt -1) h0) (acos h0)) (/ -1 (acos h0)) (/ -1 (acos h0)) (/ -1 (acos h0)) 2.277 * * [simplify]: iteration 0 : 2466 enodes (cost 15220 ) 2.304 * * [simplify]: iteration 1 : 5001 enodes (cost 12601 ) 2.369 * * * [progress]: adding candidates to table 2.930 * [progress]: [Phase 3 of 3] Extracting. 2.930 * * [regime]: Finding splitpoints for: (# # # # # #) 2.931 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 2.931 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # #) 2.959 * * * * [regimes]: Trying to branch on a from (# # # # # #) 2.979 * * * [regime]: Found split indices: #