10.242 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (/ a (- (acos a))) 0.023 * [simplify]: Sending expressions to egg_math: (/ h0 (- (acos h0))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.044 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.044 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.044 * [taylor]: Taking taylor expansion of -1 in a 0.044 * [backup-simplify]: Simplify -1 into -1 0.044 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.044 * [taylor]: Taking taylor expansion of a in a 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of (acos a) in a 0.044 * [backup-simplify]: Simplify (acos a) into (acos a) 0.044 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.044 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.044 * [taylor]: Taking taylor expansion of -1 in a 0.044 * [backup-simplify]: Simplify -1 into -1 0.044 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.044 * [taylor]: Taking taylor expansion of a in a 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of (acos a) in a 0.044 * [backup-simplify]: Simplify (acos a) into (acos a) 0.044 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.044 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.044 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.044 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.045 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [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 0.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [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 0.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.053 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.053 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.053 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.053 * [taylor]: Taking taylor expansion of -1 in a 0.053 * [backup-simplify]: Simplify -1 into -1 0.053 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.053 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.053 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.053 * [taylor]: Taking taylor expansion of a in a 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.053 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.054 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.054 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.054 * [taylor]: Taking taylor expansion of -1 in a 0.054 * [backup-simplify]: Simplify -1 into -1 0.054 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.054 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.054 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.054 * [taylor]: Taking taylor expansion of a in a 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.054 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.054 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.054 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.055 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.072 * [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 0.072 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.075 * [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 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.075 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.075 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.075 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.075 * [taylor]: Taking taylor expansion of a in a 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.075 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.075 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.076 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.076 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.076 * [taylor]: Taking taylor expansion of a in a 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.076 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.076 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.077 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.077 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.082 * [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 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.084 * [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 0.084 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.086 * [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 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.086 * * * [progress]: simplifying candidates 0.087 * [simplify]: Simplifying: (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.088 * [simplify]: Sending expressions to egg_math: (- (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))) 0.178 * * * [progress]: adding candidates to table 0.285 * * [progress]: iteration 2 / 4 0.285 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.332 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.352 * * * [progress]: generating series expansions 0.353 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.353 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 0.353 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.353 * [taylor]: Taking taylor expansion of -1 in a 0.353 * [backup-simplify]: Simplify -1 into -1 0.353 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.353 * [taylor]: Taking taylor expansion of a in a 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (acos a) in a 0.353 * [backup-simplify]: Simplify (acos a) into (acos a) 0.353 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.353 * [taylor]: Taking taylor expansion of -1 in a 0.353 * [backup-simplify]: Simplify -1 into -1 0.353 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.353 * [taylor]: Taking taylor expansion of a in a 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (acos a) in a 0.353 * [backup-simplify]: Simplify (acos a) into (acos a) 0.353 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.353 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.353 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.354 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.354 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.355 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [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 0.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [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 0.359 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [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 0.361 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.361 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 0.361 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.361 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.362 * [taylor]: Taking taylor expansion of -1 in a 0.362 * [backup-simplify]: Simplify -1 into -1 0.362 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.362 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.362 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.362 * [taylor]: Taking taylor expansion of a in a 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.362 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.362 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.362 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.362 * [taylor]: Taking taylor expansion of -1 in a 0.362 * [backup-simplify]: Simplify -1 into -1 0.362 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.362 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.362 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.362 * [taylor]: Taking taylor expansion of a in a 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.363 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.363 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.363 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.364 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.365 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.366 * [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 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.367 * [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 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.368 * [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 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.370 * [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 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.370 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 0.370 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.370 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.370 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.370 * [taylor]: Taking taylor expansion of a in a 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.370 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.370 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.371 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.371 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.371 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.371 * [taylor]: Taking taylor expansion of a in a 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.371 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.371 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.371 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.371 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.376 * [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 0.376 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.378 * [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 0.378 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.380 * [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 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.381 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.381 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 0.381 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.381 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.381 * [taylor]: Taking taylor expansion of -1 in a 0.381 * [backup-simplify]: Simplify -1 into -1 0.381 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.381 * [taylor]: Taking taylor expansion of (acos a) in a 0.381 * [backup-simplify]: Simplify (acos a) into (acos a) 0.381 * [taylor]: Taking taylor expansion of a in a 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 0.381 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.381 * [taylor]: Taking taylor expansion of -1 in a 0.381 * [backup-simplify]: Simplify -1 into -1 0.381 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.381 * [taylor]: Taking taylor expansion of (acos a) in a 0.381 * [backup-simplify]: Simplify (acos a) into (acos a) 0.381 * [taylor]: Taking taylor expansion of a in a 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 0.381 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 0.381 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.400 * [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 0.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 0.401 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 0.402 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.402 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.402 * [taylor]: Taking taylor expansion of -1 in a 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.402 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.402 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.402 * [taylor]: Taking taylor expansion of a in a 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.402 * [taylor]: Taking taylor expansion of -1 in a 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.402 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.402 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.402 * [taylor]: Taking taylor expansion of a in a 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.402 * [backup-simplify]: Simplify (* -1 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.403 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 0.403 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 0.404 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.404 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 0.416 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 0.416 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.416 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.416 * [taylor]: Taking taylor expansion of a in a 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.416 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.416 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.416 * [taylor]: Taking taylor expansion of a in a 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.416 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.416 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.417 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 0.424 * * * [progress]: simplifying candidates 0.427 * [simplify]: Simplifying: (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- 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(/ (- 1) 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (- (cbrt (acos a))) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (- (sqrt (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- 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(acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 0.429 * [simplify]: Sending expressions to egg_math: (- 1) (- (- (log (- (acos h0))) (log h0))) (- (log (/ (- (acos h0)) h0))) (- 0 (- (log (- (acos h0))) (log h0))) (- 0 (log (/ (- (acos h0)) h0))) (- (log 1) (- (log (- (acos h0))) (log h0))) (- (log 1) (log (/ (- (acos h0)) h0))) (log (/ 1 (/ (- (acos h0)) h0))) (exp (/ 1 (/ (- (acos h0)) h0))) (/ (* (* 1 1) 1) (/ (* (* (- (acos h0)) (- (acos h0))) (- (acos h0))) (* (* h0 h0) h0))) (/ (* (* 1 1) 1) (* (* (/ (- (acos h0)) h0) (/ (- (acos h0)) h0)) (/ (- (acos h0)) h0))) (* (cbrt (/ 1 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(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 h0)) (/ (- (sqrt (acos h0))) (sqrt h0)) (/ (sqrt (acos h0)) (sqrt h0)) (/ (- (sqrt (acos h0))) 1) (/ (sqrt (acos h0)) h0) (/ (- 1) (* (cbrt h0) (cbrt h0))) (/ (acos h0) (cbrt h0)) (/ (- 1) (sqrt h0)) (/ (acos h0) (sqrt h0)) (/ (- 1) 1) (/ (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 h0)) (/ (sqrt (acos h0)) (sqrt h0)) (/ (- (sqrt (acos h0))) (sqrt h0)) (/ (sqrt (acos h0)) 1) (/ (- (sqrt (acos h0))) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (- (acos h0)) (cbrt h0)) (/ 1 (sqrt h0)) (/ (- (acos h0)) (sqrt h0)) (/ 1 1) (/ (- (acos h0)) h0) (/ 1 h0) (/ h0 (- (acos h0))) (/ (acos h0) h0) (/ (- (acos h0)) (* (cbrt h0) (cbrt h0))) (/ (- (acos h0)) (sqrt h0)) (/ (- (acos h0)) 1) (/ h0 (cbrt (- (acos h0)))) (/ h0 (sqrt (- (acos h0)))) (/ h0 (- (acos h0))) (/ h0 (acos h0)) (/ h0 (cbrt (acos h0))) (/ h0 (sqrt (acos h0))) (/ h0 (acos h0)) (/ h0 (- (cbrt (acos h0)))) (/ h0 (- (sqrt (acos h0)))) (/ h0 (- (acos h0))) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) (* -1 (/ (acos h0) h0)) (* -1 (/ (acos h0) h0)) (* -1 (/ (acos h0) h0)) 0.496 * * * [progress]: adding candidates to table 0.791 * * [progress]: iteration 3 / 4 0.791 * * * [progress]: picking best candidate 0.807 * * * * [pick]: Picked # 0.807 * * * [progress]: localizing error 0.814 * * * [progress]: generating rewritten candidates 0.814 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.851 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.915 * * * [progress]: generating series expansions 0.915 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.916 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 0.916 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.916 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos 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 (/ a (acos a)) in 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 * [taylor]: Taking taylor expansion of (acos a) in a 0.916 * [backup-simplify]: Simplify (acos a) into (acos a) 0.916 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.916 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos 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 (/ a (acos a)) in 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 * [taylor]: Taking taylor expansion of (acos a) in a 0.916 * [backup-simplify]: Simplify (acos a) into (acos a) 0.916 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.916 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.916 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.916 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.917 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.918 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [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 0.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [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 0.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [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 0.925 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.925 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 0.925 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.925 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.925 * [taylor]: Taking taylor expansion of -1 in a 0.925 * [backup-simplify]: Simplify -1 into -1 0.925 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 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 * [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 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.926 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.926 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.926 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.926 * [taylor]: Taking taylor expansion of -1 in a 0.926 * [backup-simplify]: Simplify -1 into -1 0.926 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.926 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.926 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.926 * [taylor]: Taking taylor expansion of a in a 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.926 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.926 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.926 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.927 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.928 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.929 * [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 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.930 * [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 0.930 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.931 * [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 0.931 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.933 * [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 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.933 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 0.933 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.933 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.933 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.933 * [taylor]: Taking taylor expansion of a in a 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.933 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.933 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.934 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.934 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.934 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.934 * [taylor]: Taking taylor expansion of a in a 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.934 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.934 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.934 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.934 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.939 * [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 0.939 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.941 * [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 0.941 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.943 * [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 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.943 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.943 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 0.943 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 0.943 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.943 * [taylor]: Taking taylor expansion of -1 in a 0.943 * [backup-simplify]: Simplify -1 into -1 0.943 * [taylor]: Taking taylor expansion of (acos a) in a 0.944 * [backup-simplify]: Simplify (acos a) into (acos a) 0.944 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.944 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.944 * [taylor]: Taking taylor expansion of -1 in a 0.944 * [backup-simplify]: Simplify -1 into -1 0.944 * [taylor]: Taking taylor expansion of (acos a) in a 0.944 * [backup-simplify]: Simplify (acos a) into (acos a) 0.944 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.944 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.944 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.945 * [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 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [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 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [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 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.945 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 0.945 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 0.946 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.946 * [taylor]: Taking taylor expansion of -1 in a 0.946 * [backup-simplify]: Simplify -1 into -1 0.946 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.946 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.946 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.946 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.946 * [taylor]: Taking taylor expansion of -1 in a 0.946 * [backup-simplify]: Simplify -1 into -1 0.946 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.946 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.946 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.946 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.946 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [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 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [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 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [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 0.947 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 0.948 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 0.948 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 0.948 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.948 * [taylor]: Taking taylor expansion of -1 in a 0.948 * [backup-simplify]: Simplify -1 into -1 0.948 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.948 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.948 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.948 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.948 * [taylor]: Taking taylor expansion of -1 in a 0.948 * [backup-simplify]: Simplify -1 into -1 0.948 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.948 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.949 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.949 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.949 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [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 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [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 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [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 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 0.951 * * * [progress]: simplifying candidates 0.961 * [simplify]: Simplifying: (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- 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(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)) 1.064 * * * [progress]: adding candidates to table 1.771 * * [progress]: iteration 4 / 4 1.771 * * * [progress]: picking best candidate 1.787 * * * * [pick]: Picked # 1.788 * * * [progress]: localizing error 1.797 * * * [progress]: generating rewritten candidates 1.797 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.846 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.956 * * * [progress]: generating series expansions 1.956 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.957 * [backup-simplify]: Simplify (/ (/ (sqrt 1) (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 1.957 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.957 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.957 * [taylor]: Taking taylor expansion of -1 in a 1.957 * [backup-simplify]: Simplify -1 into -1 1.957 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.957 * [taylor]: Taking taylor expansion of a in a 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of (acos a) in a 1.957 * [backup-simplify]: Simplify (acos a) into (acos a) 1.957 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.957 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.957 * [taylor]: Taking taylor expansion of -1 in a 1.957 * [backup-simplify]: Simplify -1 into -1 1.957 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.957 * [taylor]: Taking taylor expansion of a in a 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of (acos a) in a 1.957 * [backup-simplify]: Simplify (acos a) into (acos a) 1.957 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.957 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.957 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.958 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.958 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.960 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.962 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.963 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.965 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.966 * [backup-simplify]: Simplify (/ (/ (sqrt 1) (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 1.966 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.966 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.966 * [taylor]: Taking taylor expansion of -1 in a 1.966 * [backup-simplify]: Simplify -1 into -1 1.966 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.966 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.966 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.966 * [taylor]: Taking taylor expansion of a in a 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.966 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.966 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.966 * [taylor]: Taking taylor expansion of -1 in a 1.966 * [backup-simplify]: Simplify -1 into -1 1.966 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.966 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.967 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.967 * [taylor]: Taking taylor expansion of a in a 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.967 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.967 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.968 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 1.968 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.970 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.974 * [backup-simplify]: Simplify (/ (/ (sqrt 1) (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.974 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.974 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.974 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.974 * [taylor]: Taking taylor expansion of a in a 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.975 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.975 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.975 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.975 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.975 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.975 * [taylor]: Taking taylor expansion of a in a 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.975 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.975 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.976 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.976 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.982 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.985 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.994 * [backup-simplify]: Simplify (/ (sqrt 1) (- (acos a))) into (/ -1 (acos a)) 1.994 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 1.994 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.994 * [taylor]: Taking taylor expansion of -1 in a 1.994 * [backup-simplify]: Simplify -1 into -1 1.994 * [taylor]: Taking taylor expansion of (acos a) in a 1.994 * [backup-simplify]: Simplify (acos a) into (acos a) 1.994 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.994 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.994 * [taylor]: Taking taylor expansion of -1 in a 1.994 * [backup-simplify]: Simplify -1 into -1 1.994 * [taylor]: Taking taylor expansion of (acos a) in a 1.994 * [backup-simplify]: Simplify (acos a) into (acos a) 1.994 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.995 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.995 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.997 * [backup-simplify]: Simplify (/ (sqrt 1) (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 1.997 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 1.997 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.997 * [taylor]: Taking taylor expansion of -1 in a 1.997 * [backup-simplify]: Simplify -1 into -1 1.997 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.997 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.997 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.997 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.997 * [taylor]: Taking taylor expansion of -1 in a 1.997 * [backup-simplify]: Simplify -1 into -1 1.997 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.997 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.997 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.997 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.998 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 2.000 * [backup-simplify]: Simplify (/ (sqrt 1) (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 2.000 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 2.000 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 2.000 * [taylor]: Taking taylor expansion of -1 in a 2.000 * [backup-simplify]: Simplify -1 into -1 2.000 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.000 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.000 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 2.000 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 2.000 * [taylor]: Taking taylor expansion of -1 in a 2.000 * [backup-simplify]: Simplify -1 into -1 2.000 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.000 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.000 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 2.000 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 2.001 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [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 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [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 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 2.003 * * * [progress]: simplifying candidates 2.024 * [simplify]: Simplifying: (- (- (log (sqrt 1)) (log (- (acos a)))) (- (log a))) (- (- (log (sqrt 1)) (log (- (acos a)))) (- 0 (log a))) (- (- (log (sqrt 1)) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (sqrt 1)) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ (sqrt 1) (- (acos a)))) (- (log a))) (- (log (/ (sqrt 1) (- (acos a)))) (- 0 (log a))) (- (log (/ (sqrt 1) (- (acos a)))) (- (log 1) (log a))) (- (log (/ (sqrt 1) (- (acos a)))) (log (/ 1 a))) (log (/ (/ (sqrt 1) (- (acos a))) (/ 1 a))) (exp (/ (/ (sqrt 1) (- (acos a))) (/ 1 a))) (/ (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (- (acos a)))) (/ (sqrt 1) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (- (acos a)))) (/ (sqrt 1) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ (sqrt 1) (- (acos a))) (/ 1 a))) (cbrt (/ (/ (sqrt 1) (- (acos a))) (/ 1 a)))) (cbrt (/ (/ (sqrt 1) (- (acos a))) (/ 1 a))) (* (* (/ (/ (sqrt 1) (- (acos a))) (/ 1 a)) (/ (/ (sqrt 1) (- (acos a))) (/ 1 a))) (/ (/ (sqrt 1) (- (acos a))) (/ 1 a))) (sqrt (/ (/ (sqrt 1) (- (acos a))) (/ 1 a))) (sqrt (/ (/ (sqrt 1) (- (acos a))) (/ 1 a))) (- (/ (sqrt 1) (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ (sqrt 1) (- (acos a)))) (cbrt (/ (sqrt 1) (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ (sqrt 1) (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ (sqrt 1) (- (acos a)))) (cbrt (/ (sqrt 1) (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ (sqrt 1) (- (acos 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(/ (cbrt 1) (cbrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (cbrt 1) a)) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (sqrt 1) 1)) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ (sqrt 1) a)) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ 1 (cbrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ 1 (sqrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ 1 (sqrt a))) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ 1 1)) (/ (sqrt (/ (sqrt 1) (- (acos a)))) (/ 1 a)) (/ (sqrt (/ (sqrt 1) (- (acos a)))) 1) (/ (sqrt (/ (sqrt 1) (- 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h0))) (/ 1 (- 1)) (/ (sqrt 1) (acos h0)) (/ 1 (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ (sqrt 1) (- (cbrt (acos h0)))) (/ 1 (sqrt (acos h0))) (/ (sqrt 1) (- (sqrt (acos h0)))) (/ 1 1) (/ (sqrt 1) (- (acos h0))) (/ 1 (- (acos h0))) (/ (- (acos h0)) (sqrt 1)) (/ (sqrt 1) (* (cbrt (- (acos h0))) (cbrt (- (acos h0))))) (/ (sqrt 1) (sqrt (- (acos h0)))) (/ (sqrt 1) 1) (/ (sqrt 1) -1) (/ (sqrt 1) (- (* (cbrt (acos h0)) (cbrt (acos h0))))) (/ (sqrt 1) (- (sqrt (acos h0)))) (/ (sqrt 1) (- 1)) (/ (sqrt 1) (* (cbrt (acos h0)) (cbrt (acos h0)))) (/ (sqrt 1) (sqrt (acos h0))) (/ (sqrt 1) 1) (/ (- (acos h0)) (cbrt (sqrt 1))) (/ (- (acos h0)) (sqrt (cbrt 1))) (/ (- (acos h0)) (sqrt (sqrt 1))) (/ (- (acos h0)) (sqrt 1)) (/ (- (acos h0)) (sqrt (sqrt 1))) (/ (- (acos h0)) (sqrt 1)) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) (* -1 (/ h0 (acos h0))) (/ -1 (acos h0)) (/ -1 (acos h0)) (/ -1 (acos h0)) 2.192 * * * [progress]: adding candidates to table 3.514 * [progress]: [Phase 3 of 3] Extracting. 3.514 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.515 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 3.515 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # #) 3.542 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 3.569 * * * [regime]: Found split indices: #