20.731 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (/ a (- (acos a))) 0.023 * [simplify]: Sending expressions to egg_math: (/ h0 (- (acos h0))) 0.025 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.026 * * [simplify]: iteration 1 : 4 enodes (cost 3 ) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.040 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.040 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.040 * [taylor]: Taking taylor expansion of -1 in a 0.040 * [backup-simplify]: Simplify -1 into -1 0.040 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.040 * [taylor]: Taking taylor expansion of a in a 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of (acos a) in a 0.040 * [backup-simplify]: Simplify (acos a) into (acos a) 0.040 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.040 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.040 * [taylor]: Taking taylor expansion of -1 in a 0.040 * [backup-simplify]: Simplify -1 into -1 0.040 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.040 * [taylor]: Taking taylor expansion of a in a 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of (acos a) in a 0.040 * [backup-simplify]: Simplify (acos a) into (acos a) 0.040 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.040 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.041 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.041 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.041 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.043 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [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 0.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.045 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.047 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.047 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.047 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.047 * [taylor]: Taking taylor expansion of -1 in a 0.047 * [backup-simplify]: Simplify -1 into -1 0.047 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.047 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.047 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.047 * [taylor]: Taking taylor expansion of a in a 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.048 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.048 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.048 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.048 * [taylor]: Taking taylor expansion of -1 in a 0.048 * [backup-simplify]: Simplify -1 into -1 0.048 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.048 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.048 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.048 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.048 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.048 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.049 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.050 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.050 * [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 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.051 * [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 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.052 * [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 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.053 * [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 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.054 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.054 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.054 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in 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 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.054 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.054 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) 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 (* a (acos (/ -1 a)))) in a 0.054 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in 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 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.054 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.054 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.055 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.055 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.059 * [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 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.063 * * * [progress]: simplifying candidates 0.064 * [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))) 0.064 * [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))) 0.067 * * [simplify]: iteration 0 : 164 enodes (cost 376 ) 0.070 * * [simplify]: iteration 1 : 491 enodes (cost 364 ) 0.077 * * [simplify]: iteration 2 : 1440 enodes (cost 359 ) 0.096 * * [simplify]: iteration 3 : 3702 enodes (cost 358 ) 0.150 * * [simplify]: iteration 4 : 5001 enodes (cost 358 ) 0.151 * * * [progress]: adding candidates to table 0.238 * * [progress]: iteration 2 / 4 0.238 * * * [progress]: picking best candidate 0.250 * * * * [pick]: Picked # 0.250 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.270 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.289 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 0.289 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.289 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.289 * [taylor]: Taking taylor expansion of -1 in a 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.289 * [taylor]: Taking taylor expansion of a in a 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (acos a) in a 0.289 * [backup-simplify]: Simplify (acos a) into (acos a) 0.289 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.289 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.289 * [taylor]: Taking taylor expansion of -1 in a 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.289 * [taylor]: Taking taylor expansion of a in a 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (acos a) in a 0.289 * [backup-simplify]: Simplify (acos a) into (acos a) 0.289 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.289 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.289 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.289 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.291 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [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 0.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [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 0.298 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [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 0.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.301 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 0.301 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.301 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.301 * [taylor]: Taking taylor expansion of -1 in a 0.301 * [backup-simplify]: Simplify -1 into -1 0.301 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.301 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.301 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.301 * [taylor]: Taking taylor expansion of a in a 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.301 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.301 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.301 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.301 * [taylor]: Taking taylor expansion of -1 in a 0.301 * [backup-simplify]: Simplify -1 into -1 0.301 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.301 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.301 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.301 * [taylor]: Taking taylor expansion of a in a 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.302 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.302 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.302 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.302 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.304 * [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 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.305 * [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 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.306 * [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 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.307 * [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 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.307 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 0.307 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.307 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.307 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.307 * [taylor]: Taking taylor expansion of a in a 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.307 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.307 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.308 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.308 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.308 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.308 * [taylor]: Taking taylor expansion of a in a 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.308 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.308 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.308 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.308 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.312 * [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 0.312 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.314 * [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 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.316 * [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 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.316 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.316 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 0.316 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.316 * [taylor]: Taking taylor expansion of -1 in a 0.316 * [backup-simplify]: Simplify -1 into -1 0.316 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.316 * [taylor]: Taking taylor expansion of (acos a) in a 0.316 * [backup-simplify]: Simplify (acos a) into (acos a) 0.316 * [taylor]: Taking taylor expansion of a in a 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.316 * [taylor]: Taking taylor expansion of -1 in a 0.316 * [backup-simplify]: Simplify -1 into -1 0.316 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.316 * [taylor]: Taking taylor expansion of (acos a) in a 0.316 * [backup-simplify]: Simplify (acos a) into (acos a) 0.316 * [taylor]: Taking taylor expansion of a in a 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 0.317 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 0.317 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.327 * [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 0.328 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 0.329 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 0.329 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.329 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.329 * [taylor]: Taking taylor expansion of -1 in a 0.329 * [backup-simplify]: Simplify -1 into -1 0.329 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.329 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.329 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.329 * [taylor]: Taking taylor expansion of a in a 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.329 * [taylor]: Taking taylor expansion of -1 in a 0.329 * [backup-simplify]: Simplify -1 into -1 0.329 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.329 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.329 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.329 * [taylor]: Taking taylor expansion of a in a 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.329 * [backup-simplify]: Simplify (* -1 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.330 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 0.330 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 0.330 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.333 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.335 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.339 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 0.339 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 0.339 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.339 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.339 * [taylor]: Taking taylor expansion of a in a 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.340 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.340 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.340 * [taylor]: Taking taylor expansion of a in a 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.340 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.340 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.340 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 0.346 * * * [progress]: simplifying candidates 0.350 * [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 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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))) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 0.351 * [simplify]: Sending expressions to egg_math: (- 1) (- (- (log (- (acos h0))) (log h0))) (- (log (/ (- 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(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)) 0.359 * * [simplify]: iteration 0 : 659 enodes (cost 1916 ) 0.370 * * [simplify]: iteration 1 : 3060 enodes (cost 1699 ) 0.404 * * [simplify]: iteration 2 : 5001 enodes (cost 1507 ) 0.411 * * * [progress]: adding candidates to table 0.637 * * [progress]: iteration 3 / 4 0.637 * * * [progress]: picking best candidate 0.650 * * * * [pick]: Picked # 0.650 * * * [progress]: localizing error 0.660 * * * [progress]: generating rewritten candidates 0.660 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.688 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.741 * * * [progress]: generating series expansions 0.741 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.742 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 0.742 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.742 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.742 * [taylor]: Taking taylor expansion of -1 in a 0.742 * [backup-simplify]: Simplify -1 into -1 0.742 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.742 * [taylor]: Taking taylor expansion of a in a 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [taylor]: Taking taylor expansion of (acos a) in a 0.742 * [backup-simplify]: Simplify (acos a) into (acos a) 0.742 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.742 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.742 * [taylor]: Taking taylor expansion of -1 in a 0.742 * [backup-simplify]: Simplify -1 into -1 0.742 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.742 * [taylor]: Taking taylor expansion of a in a 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [taylor]: Taking taylor expansion of (acos a) in a 0.742 * [backup-simplify]: Simplify (acos a) into (acos a) 0.742 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.742 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.742 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.742 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.743 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [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 0.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [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 0.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.748 * [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 0.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.749 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 0.749 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.749 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.749 * [taylor]: Taking taylor expansion of -1 in a 0.749 * [backup-simplify]: Simplify -1 into -1 0.749 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.749 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.749 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.749 * [taylor]: Taking taylor expansion of a in a 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.750 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.750 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.750 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.750 * [taylor]: Taking taylor expansion of -1 in a 0.750 * [backup-simplify]: Simplify -1 into -1 0.750 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.750 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.750 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.750 * [taylor]: Taking taylor expansion of a in a 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.750 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.750 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.750 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.751 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.752 * [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 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.753 * [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 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.754 * [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 0.754 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.756 * [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 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.756 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 0.756 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.756 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.756 * [taylor]: Taking taylor expansion of a in a 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.756 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.756 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.756 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.756 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.756 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.756 * [taylor]: Taking taylor expansion of a in a 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.757 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.757 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.757 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.757 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.761 * [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 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.763 * [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 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.764 * [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 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.765 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.765 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 0.765 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 0.765 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.765 * [taylor]: Taking taylor expansion of -1 in a 0.765 * [backup-simplify]: Simplify -1 into -1 0.765 * [taylor]: Taking taylor expansion of (acos a) in a 0.765 * [backup-simplify]: Simplify (acos a) into (acos a) 0.765 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.765 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.765 * [taylor]: Taking taylor expansion of -1 in a 0.765 * [backup-simplify]: Simplify -1 into -1 0.765 * [taylor]: Taking taylor expansion of (acos a) in a 0.765 * [backup-simplify]: Simplify (acos a) into (acos a) 0.765 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.765 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.765 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [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 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.767 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 0.767 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 0.767 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.767 * [taylor]: Taking taylor expansion of -1 in a 0.767 * [backup-simplify]: Simplify -1 into -1 0.767 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.767 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.767 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.767 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.767 * [taylor]: Taking taylor expansion of -1 in a 0.767 * [backup-simplify]: Simplify -1 into -1 0.767 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.767 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.767 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.767 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.767 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [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 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [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 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [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 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [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 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 0.769 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 0.769 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 0.769 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.769 * [taylor]: Taking taylor expansion of -1 in a 0.769 * [backup-simplify]: Simplify -1 into -1 0.769 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.769 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.769 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.769 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.769 * [taylor]: Taking taylor expansion of -1 in a 0.769 * [backup-simplify]: Simplify -1 into -1 0.769 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.769 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.769 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.769 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 0.770 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [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 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [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 0.770 * [backup-simplify]: Simplify 0 into 0 0.771 * [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 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [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 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 0.771 * * * [progress]: simplifying candidates 0.788 * [simplify]: Simplifying: (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) 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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)) 0.816 * * [simplify]: iteration 0 : 2517 enodes (cost 7392 ) 0.850 * * [simplify]: iteration 1 : 5002 enodes (cost 6273 ) 0.876 * * * [progress]: adding candidates to table 1.439 * * [progress]: iteration 4 / 4 1.439 * * * [progress]: picking best candidate 1.444 * * * * [pick]: Picked # 1.444 * * * [progress]: localizing error 1.454 * * * [progress]: generating rewritten candidates 1.454 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.521 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.536 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.548 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.625 * * * [progress]: generating series expansions 1.625 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.625 * [backup-simplify]: Simplify (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a)) into (* -1 (/ a (acos a))) 1.625 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.625 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.625 * [taylor]: Taking taylor expansion of -1 in a 1.625 * [backup-simplify]: Simplify -1 into -1 1.625 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.625 * [taylor]: Taking taylor expansion of a in a 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (acos a) in a 1.625 * [backup-simplify]: Simplify (acos a) into (acos a) 1.625 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.625 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.625 * [taylor]: Taking taylor expansion of -1 in a 1.625 * [backup-simplify]: Simplify -1 into -1 1.625 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.625 * [taylor]: Taking taylor expansion of a in a 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (acos a) in a 1.625 * [backup-simplify]: Simplify (acos a) into (acos a) 1.626 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.626 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.626 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.626 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.626 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.627 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [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 1.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.630 * [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 1.631 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [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 1.632 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.633 * [backup-simplify]: Simplify (/ (log (exp (/ 1 (- (acos (/ 1 a)))))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 1.633 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.633 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.633 * [taylor]: Taking taylor expansion of -1 in a 1.633 * [backup-simplify]: Simplify -1 into -1 1.633 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.633 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.633 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.633 * [taylor]: Taking taylor expansion of a in a 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.633 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.633 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.633 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.633 * [taylor]: Taking taylor expansion of -1 in a 1.633 * [backup-simplify]: Simplify -1 into -1 1.633 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.633 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.633 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.633 * [taylor]: Taking taylor expansion of a in a 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.634 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.634 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.634 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 1.634 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.635 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.636 * [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 1.636 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.637 * [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 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.638 * [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 1.638 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.639 * [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 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.639 * [backup-simplify]: Simplify (/ (log (exp (/ 1 (- (acos (/ 1 (- a))))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.639 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.639 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.639 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.640 * [taylor]: Taking taylor expansion of a in a 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.640 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.640 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.640 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.640 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.640 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.640 * [taylor]: Taking taylor expansion of a in a 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.640 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.640 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.641 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.641 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.645 * [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 1.645 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.646 * [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 1.646 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.648 * [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 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.648 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.648 * [backup-simplify]: Simplify (log (exp (/ 1 (- (acos a))))) into (/ -1 (acos a)) 1.648 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 1.648 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.648 * [taylor]: Taking taylor expansion of -1 in a 1.648 * [backup-simplify]: Simplify -1 into -1 1.648 * [taylor]: Taking taylor expansion of (acos a) in a 1.648 * [backup-simplify]: Simplify (acos a) into (acos a) 1.649 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.649 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.649 * [taylor]: Taking taylor expansion of -1 in a 1.649 * [backup-simplify]: Simplify -1 into -1 1.649 * [taylor]: Taking taylor expansion of (acos a) in a 1.649 * [backup-simplify]: Simplify (acos a) into (acos a) 1.649 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.649 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.649 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [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 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [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 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [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 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.650 * [backup-simplify]: Simplify (log (exp (/ 1 (- (acos (/ 1 a)))))) into (/ -1 (acos (/ 1 a))) 1.650 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 1.650 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.650 * [taylor]: Taking taylor expansion of -1 in a 1.650 * [backup-simplify]: Simplify -1 into -1 1.650 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.650 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.651 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.651 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.651 * [taylor]: Taking taylor expansion of -1 in a 1.651 * [backup-simplify]: Simplify -1 into -1 1.651 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.651 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.651 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.651 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.651 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [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 1.651 * [backup-simplify]: Simplify 0 into 0 1.652 * [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 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [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 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [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 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 1.653 * [backup-simplify]: Simplify (log (exp (/ 1 (- (acos (/ 1 (- a))))))) into (/ -1 (acos (/ -1 a))) 1.653 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 1.653 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.653 * [taylor]: Taking taylor expansion of -1 in a 1.653 * [backup-simplify]: Simplify -1 into -1 1.653 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.653 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.653 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 1.653 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.653 * [taylor]: Taking taylor expansion of -1 in a 1.653 * [backup-simplify]: Simplify -1 into -1 1.653 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.653 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.653 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 1.653 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 1.653 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [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 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [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 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [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 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [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 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 1.655 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.655 * [backup-simplify]: Simplify (exp (/ 1 (- (acos a)))) into (exp (/ -1 (acos a))) 1.655 * [approximate]: Taking taylor expansion of (exp (/ -1 (acos a))) in (a) around 0 1.655 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos a))) in a 1.655 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.655 * [taylor]: Taking taylor expansion of -1 in a 1.655 * [backup-simplify]: Simplify -1 into -1 1.655 * [taylor]: Taking taylor expansion of (acos a) in a 1.655 * [backup-simplify]: Simplify (acos a) into (acos a) 1.655 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.655 * [backup-simplify]: Simplify (exp (/ -1 (acos a))) into (exp (/ -1 (acos a))) 1.655 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos a))) in a 1.655 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.655 * [taylor]: Taking taylor expansion of -1 in a 1.655 * [backup-simplify]: Simplify -1 into -1 1.655 * [taylor]: Taking taylor expansion of (acos a) in a 1.655 * [backup-simplify]: Simplify (acos a) into (acos a) 1.655 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.655 * [backup-simplify]: Simplify (exp (/ -1 (acos a))) into (exp (/ -1 (acos a))) 1.656 * [backup-simplify]: Simplify (exp (/ -1 (acos a))) into (exp (/ -1 (acos a))) 1.656 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 1.656 * [backup-simplify]: Simplify (* (exp (/ -1 (acos a))) (+ (* (/ (pow 0 1) 1)))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.657 * [backup-simplify]: Simplify (* (exp (/ -1 (acos a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.658 * [backup-simplify]: Simplify (* (exp (/ -1 (acos a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [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 1.660 * [backup-simplify]: Simplify (* (exp (/ -1 (acos a))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [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 1.662 * [backup-simplify]: Simplify (* (exp (/ -1 (acos a))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [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 1.665 * [backup-simplify]: Simplify (* (exp (/ -1 (acos a))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify (exp (/ -1 (acos a))) into (exp (/ -1 (acos a))) 1.666 * [backup-simplify]: Simplify (exp (/ 1 (- (acos (/ 1 a))))) into (exp (/ -1 (acos (/ 1 a)))) 1.666 * [approximate]: Taking taylor expansion of (exp (/ -1 (acos (/ 1 a)))) in (a) around 0 1.666 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos (/ 1 a)))) in a 1.666 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.666 * [taylor]: Taking taylor expansion of -1 in a 1.666 * [backup-simplify]: Simplify -1 into -1 1.666 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.666 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.666 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.666 * [backup-simplify]: Simplify (exp (/ -1 (acos (/ 1 a)))) into (exp (/ -1 (acos (/ 1 a)))) 1.666 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos (/ 1 a)))) in a 1.666 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.666 * [taylor]: Taking taylor expansion of -1 in a 1.666 * [backup-simplify]: Simplify -1 into -1 1.666 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.666 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.666 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.666 * [backup-simplify]: Simplify (exp (/ -1 (acos (/ 1 a)))) into (exp (/ -1 (acos (/ 1 a)))) 1.666 * [backup-simplify]: Simplify (exp (/ -1 (acos (/ 1 a)))) into (exp (/ -1 (acos (/ 1 a)))) 1.667 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.667 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ 1 a)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.668 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ 1 a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [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 1.669 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ 1 a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.670 * [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 1.671 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ 1 a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [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 1.673 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ 1 a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.674 * [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 1.677 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ 1 a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (exp (/ -1 (acos (/ 1 (/ 1 a))))) into (exp (/ -1 (acos a))) 1.677 * [backup-simplify]: Simplify (exp (/ 1 (- (acos (/ 1 (- a)))))) into (exp (/ -1 (acos (/ -1 a)))) 1.677 * [approximate]: Taking taylor expansion of (exp (/ -1 (acos (/ -1 a)))) in (a) around 0 1.677 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos (/ -1 a)))) in a 1.677 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.677 * [taylor]: Taking taylor expansion of -1 in a 1.677 * [backup-simplify]: Simplify -1 into -1 1.677 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.677 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.677 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 1.677 * [backup-simplify]: Simplify (exp (/ -1 (acos (/ -1 a)))) into (exp (/ -1 (acos (/ -1 a)))) 1.677 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos (/ -1 a)))) in a 1.677 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.677 * [taylor]: Taking taylor expansion of -1 in a 1.677 * [backup-simplify]: Simplify -1 into -1 1.677 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.677 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.677 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 1.677 * [backup-simplify]: Simplify (exp (/ -1 (acos (/ -1 a)))) into (exp (/ -1 (acos (/ -1 a)))) 1.678 * [backup-simplify]: Simplify (exp (/ -1 (acos (/ -1 a)))) into (exp (/ -1 (acos (/ -1 a)))) 1.678 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.678 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ -1 a)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.679 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ -1 a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [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 1.680 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ -1 a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [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 1.682 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ -1 a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [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 1.684 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ -1 a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [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 1.688 * [backup-simplify]: Simplify (* (exp (/ -1 (acos (/ -1 a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (exp (/ -1 (acos (/ -1 (/ 1 (- a)))))) into (exp (/ -1 (acos a))) 1.688 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.688 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 1.688 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 1.688 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.688 * [taylor]: Taking taylor expansion of -1 in a 1.688 * [backup-simplify]: Simplify -1 into -1 1.688 * [taylor]: Taking taylor expansion of (acos a) in a 1.688 * [backup-simplify]: Simplify (acos a) into (acos a) 1.688 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.688 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.688 * [taylor]: Taking taylor expansion of -1 in a 1.688 * [backup-simplify]: Simplify -1 into -1 1.688 * [taylor]: Taking taylor expansion of (acos a) in a 1.688 * [backup-simplify]: Simplify (acos a) into (acos a) 1.688 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.688 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.688 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [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 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [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 1.689 * [backup-simplify]: Simplify 0 into 0 1.690 * [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 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.690 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 1.690 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 1.690 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.690 * [taylor]: Taking taylor expansion of -1 in a 1.690 * [backup-simplify]: Simplify -1 into -1 1.690 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.690 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.690 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.690 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.690 * [taylor]: Taking taylor expansion of -1 in a 1.690 * [backup-simplify]: Simplify -1 into -1 1.690 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.690 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.690 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.690 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.690 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [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 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [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 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [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 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [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 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 1.692 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 1.692 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 1.692 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.692 * [taylor]: Taking taylor expansion of -1 in a 1.692 * [backup-simplify]: Simplify -1 into -1 1.692 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.692 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.692 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 1.692 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.692 * [taylor]: Taking taylor expansion of -1 in a 1.692 * [backup-simplify]: Simplify -1 into -1 1.692 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.692 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.692 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 1.692 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 1.693 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [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 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [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 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [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 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [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 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 1.694 * * * [progress]: simplifying candidates 1.713 * [simplify]: Simplifying: (- (log (log (exp (/ 1 (- (acos a)))))) (- (log a))) (- (log (log (exp (/ 1 (- (acos a)))))) (- 0 (log a))) (- (log (log (exp (/ 1 (- (acos a)))))) (- (log 1) (log a))) (- (log (log (exp (/ 1 (- (acos a)))))) (log (/ 1 a))) (log (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))) (exp (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))) (/ (* (* (log (exp (/ 1 (- (acos a))))) (log (exp (/ 1 (- (acos a)))))) (log (exp (/ 1 (- (acos a)))))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (log (exp (/ 1 (- (acos a))))) (log (exp (/ 1 (- (acos a)))))) (log (exp (/ 1 (- (acos a)))))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))) (cbrt (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a)))) (cbrt (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))) (* (* (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a)) (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))) (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))) (sqrt (/ (log (exp (/ 1 (- 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(/ (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)) (/ (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)) (exp (/ -1 (acos h0))) (exp (/ -1 (acos h0))) (exp (/ -1 (acos h0))) (/ -1 (acos h0)) (/ -1 (acos h0)) (/ -1 (acos h0)) 1.747 * * [simplify]: iteration 0 : 2335 enodes (cost 8717 ) 1.774 * * [simplify]: iteration 1 : 5001 enodes (cost 7628 ) 1.804 * * * [progress]: adding candidates to table 2.726 * [progress]: [Phase 3 of 3] Extracting. 2.726 * * [regime]: Finding splitpoints for: (# # # # #) 2.726 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 2.726 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # #) 2.745 * * * * [regimes]: Trying to branch on a from (# # # # #) 2.764 * * * [regime]: Found split indices: #