32.384 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (/ a (- (acos a))) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: Extracting # 2 : cost 0 0.020 * * [simplify]: Extracting # 3 : cost 0 0.020 * * [simplify]: Extracting # 4 : cost 0 0.020 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.021 * [simplify]: Simplified to: (/ a (- (acos a))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.036 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.036 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.036 * [taylor]: Taking taylor expansion of -1 in a 0.036 * [backup-simplify]: Simplify -1 into -1 0.036 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.036 * [taylor]: Taking taylor expansion of a in a 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [taylor]: Taking taylor expansion of (acos a) in a 0.036 * [backup-simplify]: Simplify (acos a) into (acos a) 0.037 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.037 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.037 * [taylor]: Taking taylor expansion of -1 in a 0.037 * [backup-simplify]: Simplify -1 into -1 0.037 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.037 * [taylor]: Taking taylor expansion of a in a 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (acos a) in a 0.037 * [backup-simplify]: Simplify (acos a) into (acos a) 0.037 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.037 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.037 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.037 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.038 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.038 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.039 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.040 * [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 0.041 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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))) (* 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 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.044 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.044 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.044 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.044 * [taylor]: Taking taylor expansion of -1 in a 0.044 * [backup-simplify]: Simplify -1 into -1 0.044 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.044 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.044 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.044 * [taylor]: Taking taylor expansion of a in a 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.045 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.045 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.045 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.045 * [taylor]: Taking taylor expansion of -1 in a 0.045 * [backup-simplify]: Simplify -1 into -1 0.045 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.045 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.045 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.045 * [taylor]: Taking taylor expansion of a in a 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.045 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.045 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.046 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.046 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.046 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.047 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.048 * [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 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 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)))) (* 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 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)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.053 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.053 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.053 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.053 * [taylor]: Taking taylor expansion of a in a 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.053 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.053 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.053 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.053 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.053 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.053 * [taylor]: Taking taylor expansion of a in a 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.053 * [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 * [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 0.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (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 0.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.061 * [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 0.061 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.064 * [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 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.064 * * * [progress]: simplifying candidates 0.065 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.071 * * [simplify]: Extracting # 1 : cost 0 0.071 * * [simplify]: Extracting # 2 : cost 0 0.071 * * [simplify]: Extracting # 3 : cost 0 0.071 * * [simplify]: Extracting # 4 : cost 0 0.071 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.095 * * [simplify]: iteration 1 : 166 enodes (cost 581 ) 0.126 * * [simplify]: Extracting # 0 : cost 0 0.127 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.128 * * [simplify]: Extracting # 3 : cost 0 0.128 * * [simplify]: Extracting # 4 : cost 0 0.129 * * [simplify]: iteration 2 : 333 enodes (cost 563 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.218 * * [simplify]: Extracting # 1 : cost 0 0.218 * * [simplify]: Extracting # 2 : cost 0 0.219 * * [simplify]: Extracting # 3 : cost 0 0.220 * * [simplify]: Extracting # 4 : cost 0 0.220 * * [simplify]: iteration 3 : 587 enodes (cost 563 ) 0.446 * * [simplify]: Extracting # 0 : cost 0 0.448 * * [simplify]: Extracting # 1 : cost 0 0.449 * * [simplify]: Extracting # 2 : cost 0 0.450 * * [simplify]: Extracting # 3 : cost 0 0.451 * * [simplify]: Extracting # 4 : cost 0 0.452 * * [simplify]: iteration 4 : 1105 enodes (cost 563 ) 1.346 * * [simplify]: Extracting # 0 : cost 0 1.349 * * [simplify]: Extracting # 1 : cost 0 1.355 * * [simplify]: Extracting # 2 : cost 0 1.357 * * [simplify]: Extracting # 3 : cost 0 1.358 * * [simplify]: Extracting # 4 : cost 0 1.360 * * [simplify]: iteration 5 : 2150 enodes (cost 558 ) 3.189 * * [simplify]: Extracting # 0 : cost 0 3.194 * * [simplify]: Extracting # 1 : cost 0 3.199 * * [simplify]: Extracting # 2 : cost 0 3.204 * * [simplify]: Extracting # 3 : cost 0 3.208 * * [simplify]: Extracting # 4 : cost 0 3.213 * * [simplify]: iteration done: 5001 enodes (cost 558 ) 3.213 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (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)) (/ (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)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ -1 (cbrt (acos a))) (cbrt (acos a))) (/ a (cbrt (acos a))) (/ -1 (sqrt (acos a))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ -1 (acos a)) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (- a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (- a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (- (/ (acos a) a)) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 3.214 * * * [progress]: adding candidates to table 3.321 * * [progress]: iteration 2 / 4 3.321 * * * [progress]: picking best candidate 3.339 * * * * [pick]: Picked # 3.339 * * * [progress]: localizing error 3.345 * * * [progress]: generating rewritten candidates 3.345 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 3.351 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.377 * * * [progress]: generating series expansions 3.377 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 3.378 * [backup-simplify]: Simplify (/ (acos a) a) into (/ (acos a) a) 3.378 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 3.378 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.378 * [taylor]: Taking taylor expansion of (acos a) in a 3.378 * [backup-simplify]: Simplify (acos a) into (acos a) 3.378 * [taylor]: Taking taylor expansion of a in a 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 3.378 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.378 * [taylor]: Taking taylor expansion of (acos a) in a 3.378 * [backup-simplify]: Simplify (acos a) into (acos a) 3.378 * [taylor]: Taking taylor expansion of a in a 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 3.378 * [backup-simplify]: Simplify (acos a) into (acos a) 3.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.386 * [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 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 3.386 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (/ 1 a)) into (* (acos (/ 1 a)) a) 3.386 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 3.386 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.386 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.386 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.386 * [taylor]: Taking taylor expansion of a in a 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.386 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.386 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.386 * [taylor]: Taking taylor expansion of a in a 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 3.387 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.388 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.389 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.391 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 3.392 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (acos (/ -1 a)))) 3.392 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 3.392 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 3.392 * [taylor]: Taking taylor expansion of -1 in a 3.392 * [backup-simplify]: Simplify -1 into -1 3.392 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.392 * [taylor]: Taking taylor expansion of a in a 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.392 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.392 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 3.392 * [taylor]: Taking taylor expansion of -1 in a 3.392 * [backup-simplify]: Simplify -1 into -1 3.392 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.392 * [taylor]: Taking taylor expansion of a in a 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.392 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.392 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.393 * [backup-simplify]: Simplify (* -1 0) into 0 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.393 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 3.393 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 3.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.400 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.403 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.406 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 3.407 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.407 * [backup-simplify]: Simplify (/ 1 (- (/ (acos a) a))) into (* -1 (/ a (acos a))) 3.407 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 3.407 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.407 * [taylor]: Taking taylor expansion of -1 in a 3.407 * [backup-simplify]: Simplify -1 into -1 3.407 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.407 * [taylor]: Taking taylor expansion of a in a 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [taylor]: Taking taylor expansion of (acos a) in a 3.407 * [backup-simplify]: Simplify (acos a) into (acos a) 3.407 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 3.407 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.407 * [taylor]: Taking taylor expansion of -1 in a 3.407 * [backup-simplify]: Simplify -1 into -1 3.407 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.407 * [taylor]: Taking taylor expansion of a in a 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [taylor]: Taking taylor expansion of (acos a) in a 3.407 * [backup-simplify]: Simplify (acos a) into (acos a) 3.407 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 3.408 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 3.408 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 3.408 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 3.408 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.410 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [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 3.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [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 3.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [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 3.416 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 3.416 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 3.416 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 3.416 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.416 * [taylor]: Taking taylor expansion of -1 in a 3.416 * [backup-simplify]: Simplify -1 into -1 3.416 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.416 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.416 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.416 * [taylor]: Taking taylor expansion of a in a 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 3.417 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 3.417 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.417 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.417 * [taylor]: Taking taylor expansion of -1 in a 3.417 * [backup-simplify]: Simplify -1 into -1 3.417 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.417 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.417 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.417 * [taylor]: Taking taylor expansion of a in a 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 3.417 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 3.418 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.418 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.418 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 3.418 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.420 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.421 * [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 3.421 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.422 * [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 3.422 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.424 * [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 3.424 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.425 * [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 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 3.426 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 3.426 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 3.426 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.426 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.426 * [taylor]: Taking taylor expansion of a in a 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.426 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.426 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.426 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.426 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.426 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.426 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.427 * [taylor]: Taking taylor expansion of a in a 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.427 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.427 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.427 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.428 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.433 * [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 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.435 * [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 3.435 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.437 * [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 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 3.437 * * * [progress]: simplifying candidates 3.440 * [simplify]: Simplifying: (expm1 (/ (acos a) 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(/ 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))) (/ 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) (/ 1 (acos a)) (/ (- (/ (acos a) a)) (cbrt 1)) (/ (- (/ (acos a) a)) (sqrt 1)) (/ (- (/ (acos a) a)) 1) (/ 1 (- (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 3.444 * * [simplify]: Extracting # 0 : cost 0 3.445 * * [simplify]: Extracting # 1 : cost 0 3.445 * * [simplify]: Extracting # 2 : cost 0 3.446 * * [simplify]: Extracting # 3 : cost 0 3.446 * * [simplify]: Extracting # 4 : cost 0 3.452 * * [simplify]: Extracting # 5 : cost 0 3.452 * * [simplify]: Extracting # 6 : cost 0 3.453 * * [simplify]: iteration 0 : 265 enodes (cost 2409 ) 3.548 * * [simplify]: Extracting # 0 : cost 0 3.549 * * [simplify]: Extracting # 1 : cost 0 3.549 * * [simplify]: Extracting # 2 : cost 0 3.550 * * [simplify]: iteration 1 : 472 enodes (cost 2004 ) 3.623 * * [simplify]: Extracting # 0 : cost 0 3.624 * * [simplify]: Extracting # 1 : cost 0 3.624 * * [simplify]: Extracting # 2 : cost 0 3.625 * * [simplify]: Extracting # 3 : cost 0 3.626 * * [simplify]: iteration 2 : 782 enodes (cost 1861 ) 4.059 * * [simplify]: Extracting # 0 : cost 0 4.061 * * [simplify]: Extracting # 1 : cost 0 4.062 * * [simplify]: Extracting # 2 : cost 0 4.063 * * [simplify]: Extracting # 3 : cost 0 4.065 * * [simplify]: Extracting # 4 : cost 0 4.070 * * [simplify]: iteration 3 : 1534 enodes (cost 1711 ) 4.979 * * [simplify]: Extracting # 0 : cost 0 4.982 * * [simplify]: Extracting # 1 : cost 0 4.984 * * [simplify]: Extracting # 2 : cost 0 4.993 * * [simplify]: Extracting # 3 : cost 0 4.995 * * [simplify]: Extracting # 4 : cost 0 4.997 * * [simplify]: iteration 4 : 2784 enodes (cost 1711 ) 7.635 * * [simplify]: Extracting # 0 : cost 0 7.640 * * [simplify]: Extracting # 1 : cost 0 7.644 * * [simplify]: Extracting # 2 : cost 0 7.647 * * [simplify]: Extracting # 3 : cost 0 7.650 * * [simplify]: Extracting # 4 : cost 0 7.654 * * [simplify]: iteration done: 5000 enodes (cost 1711 ) 7.655 * [simplify]: Simplified to: (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos 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(- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (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 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (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 (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (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 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (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 (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (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 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (- (/ a (acos a))) (- (/ (acos a) a)) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 -1 (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 -1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 7.656 * * * [progress]: adding candidates to table 7.866 * * [progress]: iteration 3 / 4 7.866 * * * [progress]: picking best candidate 7.885 * * * * [pick]: Picked # 7.885 * * * [progress]: localizing error 7.892 * * * [progress]: generating rewritten candidates 7.892 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 7.906 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.920 * * * [progress]: generating series expansions 7.920 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 7.920 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 7.920 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 7.920 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.920 * [taylor]: Taking taylor expansion of (acos a) in a 7.920 * [backup-simplify]: Simplify (acos a) into (acos a) 7.920 * [taylor]: Taking taylor expansion of a in a 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.920 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.920 * [taylor]: Taking taylor expansion of (acos a) in a 7.920 * [backup-simplify]: Simplify (acos a) into (acos a) 7.920 * [taylor]: Taking taylor expansion of a in a 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.920 * [backup-simplify]: Simplify (acos a) into (acos a) 7.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.922 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.926 * [backup-simplify]: Simplify 0 into 0 7.928 * [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 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 7.928 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (/ 1 (/ 1 a))) into (* (acos (/ 1 a)) a) 7.928 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 7.928 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.928 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.928 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.928 * [taylor]: Taking taylor expansion of a in a 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 1 into 1 7.928 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.928 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.928 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.928 * [taylor]: Taking taylor expansion of a in a 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 7.929 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.929 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.930 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.931 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.932 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 7.933 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))) into (* -1 (* a (acos (/ -1 a)))) 7.933 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 7.933 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 7.933 * [taylor]: Taking taylor expansion of -1 in a 7.933 * [backup-simplify]: Simplify -1 into -1 7.933 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.933 * [taylor]: Taking taylor expansion of a in a 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.933 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.933 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.933 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 7.933 * [taylor]: Taking taylor expansion of -1 in a 7.933 * [backup-simplify]: Simplify -1 into -1 7.933 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.933 * [taylor]: Taking taylor expansion of a in a 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.933 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.933 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.933 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.934 * [backup-simplify]: Simplify (* -1 0) into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.934 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 7.934 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 7.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 7.935 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 7.935 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 7.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 7.937 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 7.939 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 7.939 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 7.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 7.943 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 7.943 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 7.946 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 7.946 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 7.946 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.947 * [backup-simplify]: Simplify (/ 1 (- (* (acos a) (/ 1 a)))) into (* -1 (/ a (acos a))) 7.947 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 7.947 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.947 * [taylor]: Taking taylor expansion of -1 in a 7.947 * [backup-simplify]: Simplify -1 into -1 7.947 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.947 * [taylor]: Taking taylor expansion of a in a 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [taylor]: Taking taylor expansion of (acos a) in a 7.947 * [backup-simplify]: Simplify (acos a) into (acos a) 7.947 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 7.947 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.947 * [taylor]: Taking taylor expansion of -1 in a 7.947 * [backup-simplify]: Simplify -1 into -1 7.947 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.947 * [taylor]: Taking taylor expansion of a in a 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [taylor]: Taking taylor expansion of (acos a) in a 7.947 * [backup-simplify]: Simplify (acos a) into (acos a) 7.947 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 7.947 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 7.947 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 7.947 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 7.948 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 7.949 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.950 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [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 7.952 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 7.952 * [backup-simplify]: Simplify 0 into 0 7.953 * [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 7.954 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 7.954 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a))))) into (/ -1 (* (acos (/ 1 a)) a)) 7.954 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 7.954 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 7.954 * [taylor]: Taking taylor expansion of -1 in a 7.954 * [backup-simplify]: Simplify -1 into -1 7.954 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.954 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.955 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.955 * [taylor]: Taking taylor expansion of a in a 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 7.955 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 7.955 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.955 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 7.955 * [taylor]: Taking taylor expansion of -1 in a 7.955 * [backup-simplify]: Simplify -1 into -1 7.955 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.955 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.955 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.955 * [taylor]: Taking taylor expansion of a in a 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 7.956 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 7.956 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.956 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.956 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 7.956 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 7.956 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.957 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 7.957 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.958 * [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 7.958 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.959 * [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 7.959 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.960 * [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 7.960 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.961 * [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 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 7.962 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))))) into (/ 1 (* a (acos (/ -1 a)))) 7.962 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 7.962 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.962 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.962 * [taylor]: Taking taylor expansion of a in a 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 1 into 1 7.962 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.962 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.962 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.962 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.962 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.962 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.962 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.962 * [taylor]: Taking taylor expansion of a in a 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 1 into 1 7.962 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.962 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.962 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.963 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.963 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.963 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 7.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 7.964 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 7.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.965 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 7.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 7.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 7.969 * [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 7.969 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 7.971 * [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 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 7.971 * * * [progress]: simplifying candidates 7.972 * [simplify]: Simplifying: (expm1 (* (acos a) (/ 1 a))) (log1p (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a)) (+ (log (acos a)) (- (log a))) (+ (log (acos a)) (- 0 (log a))) (+ (log (acos a)) (- (log 1) (log a))) (+ (log (acos a)) (log (/ 1 a))) (log (* (acos a) (/ 1 a))) (exp (* (acos a) (/ 1 a))) (* (* (* (acos a) (acos a)) (acos a)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (acos a) (/ 1 a))) (cbrt (* (acos a) (/ 1 a)))) (cbrt (* (acos a) (/ 1 a))) (* (* (* (acos a) (/ 1 a)) (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (acos a) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (acos a) (sqrt (/ 1 a))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (acos a) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (sqrt 1) (sqrt a))) (* (acos a) (/ (sqrt 1) 1)) (* (acos a) (/ 1 (* (cbrt a) (cbrt a)))) (* (acos a) (/ 1 (sqrt a))) (* (acos a) (/ 1 1)) (* (acos a) 1) (* (acos a) 1) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (acos a) 1) (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) (log1p (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (log (- (* (acos a) (/ 1 a))))) (- 0 (log (- (* (acos a) (/ 1 a))))) (- (log 1) (log (- (* (acos a) (/ 1 a))))) (log (/ 1 (- (* (acos a) (/ 1 a))))) (exp (/ 1 (- (* (acos a) (/ 1 a))))) (/ (* (* 1 1) 1) (* (* (- (* (acos a) (/ 1 a))) (- (* (acos a) (/ 1 a)))) (- (* (acos a) (/ 1 a))))) (* (cbrt (/ 1 (- (* (acos a) (/ 1 a))))) (cbrt (/ 1 (- (* (acos a) (/ 1 a)))))) (cbrt (/ 1 (- (* (acos a) (/ 1 a))))) (* (* (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 (- (* (acos a) (/ 1 a))))) (/ 1 (- (* (acos a) (/ 1 a))))) (sqrt (/ 1 (- (* (acos a) (/ 1 a))))) (sqrt (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (cbrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* (acos a) (/ 1 a))))) (/ (cbrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (* (acos a) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (- (/ 1 a))) (/ (sqrt 1) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (sqrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (* (acos a) (/ 1 a)))) (/ (sqrt 1) -1) (/ (sqrt 1) (* (acos a) (/ 1 a))) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (/ 1 a))) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (cbrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 -1) (/ 1 (* (acos a) (/ 1 a))) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (acos a)) (/ 1 (- (/ 1 a))) (/ 1 (- (* (acos a) (/ 1 a)))) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 -1) (/ 1 (- (acos a))) (/ 1 (acos a)) (/ (- (* (acos a) (/ 1 a))) (cbrt 1)) (/ (- (* (acos a) (/ 1 a))) (sqrt 1)) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (- (acos a))) (/ 1 (- (* (acos a) 1))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 7.974 * * [simplify]: Extracting # 0 : cost 0 7.974 * * [simplify]: Extracting # 1 : cost 0 7.974 * * [simplify]: Extracting # 2 : cost 0 7.974 * * [simplify]: Extracting # 3 : cost 0 7.974 * * [simplify]: Extracting # 4 : cost 0 7.974 * * [simplify]: Extracting # 5 : cost 0 7.974 * * [simplify]: Extracting # 6 : cost 0 7.975 * * [simplify]: Extracting # 7 : cost 0 7.975 * * [simplify]: iteration 0 : 138 enodes (cost 989 ) 8.026 * * [simplify]: Extracting # 0 : cost 0 8.026 * * [simplify]: Extracting # 1 : cost 0 8.026 * * [simplify]: Extracting # 2 : cost 0 8.026 * * [simplify]: Extracting # 3 : cost 0 8.027 * * [simplify]: Extracting # 4 : cost 0 8.027 * * [simplify]: iteration 1 : 288 enodes (cost 700 ) 8.094 * * [simplify]: Extracting # 0 : cost 0 8.095 * * [simplify]: Extracting # 1 : cost 0 8.096 * * [simplify]: Extracting # 2 : cost 0 8.097 * * [simplify]: Extracting # 3 : cost 0 8.098 * * [simplify]: Extracting # 4 : cost 0 8.099 * * [simplify]: Extracting # 5 : cost 0 8.100 * * [simplify]: iteration 2 : 660 enodes (cost 619 ) 8.690 * * [simplify]: Extracting # 0 : cost 0 8.692 * * [simplify]: Extracting # 1 : cost 0 8.693 * * [simplify]: Extracting # 2 : cost 0 8.695 * * [simplify]: Extracting # 3 : cost 0 8.697 * * [simplify]: Extracting # 4 : cost 0 8.698 * * [simplify]: iteration 3 : 2163 enodes (cost 581 ) 10.444 * * [simplify]: Extracting # 0 : cost 0 10.452 * * [simplify]: Extracting # 1 : cost 0 10.457 * * [simplify]: Extracting # 2 : cost 0 10.462 * * [simplify]: iteration done: 5000 enodes (cost 581 ) 10.462 * [simplify]: Simplified to: (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (/ (acos a) a) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (* (acos a) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (acos a) (sqrt (/ 1 a))) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (acos a) (acos a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (acos a) (expm1 (- (/ a (acos a)))) (log1p (- (/ a (acos a)))) -1 (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (exp (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (* (cbrt (- (/ a (acos a)))) (cbrt (- (/ a (acos a))))) (cbrt (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (sqrt (- (/ a (acos a)))) (sqrt (- (/ a (acos a)))) -1 (/ (acos a) a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (- (/ a (acos a))) (- (/ (acos a) a)) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 -1 (/ -1 (acos a)) (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 10.463 * * * [progress]: adding candidates to table 10.591 * * [progress]: iteration 4 / 4 10.591 * * * [progress]: picking best candidate 10.609 * * * * [pick]: Picked # 10.609 * * * [progress]: localizing error 10.618 * * * [progress]: generating rewritten candidates 10.618 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 10.649 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 10.706 * * * [progress]: generating series expansions 10.706 * * * * [progress]: [ 1 / 2 ] generating series at (2) 10.706 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 10.706 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 10.706 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.706 * [taylor]: Taking taylor expansion of -1 in a 10.706 * [backup-simplify]: Simplify -1 into -1 10.706 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.706 * [taylor]: Taking taylor expansion of a in a 10.706 * [backup-simplify]: Simplify 0 into 0 10.706 * [backup-simplify]: Simplify 1 into 1 10.706 * [taylor]: Taking taylor expansion of (acos a) in a 10.706 * [backup-simplify]: Simplify (acos a) into (acos a) 10.706 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.706 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.706 * [taylor]: Taking taylor expansion of -1 in a 10.706 * [backup-simplify]: Simplify -1 into -1 10.706 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.706 * [taylor]: Taking taylor expansion of a in a 10.706 * [backup-simplify]: Simplify 0 into 0 10.706 * [backup-simplify]: Simplify 1 into 1 10.706 * [taylor]: Taking taylor expansion of (acos a) in a 10.706 * [backup-simplify]: Simplify (acos a) into (acos a) 10.706 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.707 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 10.707 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.707 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 10.707 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 10.707 * [backup-simplify]: Simplify 0 into 0 10.708 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.708 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 10.708 * [backup-simplify]: Simplify 0 into 0 10.708 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [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 10.710 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 10.710 * [backup-simplify]: Simplify 0 into 0 10.711 * [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 10.712 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 10.712 * [backup-simplify]: Simplify 0 into 0 10.712 * [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 10.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 10.713 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 10.714 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 10.714 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 10.714 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 10.714 * [taylor]: Taking taylor expansion of -1 in a 10.714 * [backup-simplify]: Simplify -1 into -1 10.714 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.714 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.714 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.714 * [taylor]: Taking taylor expansion of a in a 10.714 * [backup-simplify]: Simplify 0 into 0 10.714 * [backup-simplify]: Simplify 1 into 1 10.714 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.714 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.714 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.714 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 10.714 * [taylor]: Taking taylor expansion of -1 in a 10.714 * [backup-simplify]: Simplify -1 into -1 10.714 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.714 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.714 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.714 * [taylor]: Taking taylor expansion of a in a 10.714 * [backup-simplify]: Simplify 0 into 0 10.714 * [backup-simplify]: Simplify 1 into 1 10.714 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.715 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.715 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.715 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.715 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 10.715 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.715 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.716 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.716 * [backup-simplify]: Simplify 0 into 0 10.717 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.717 * [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 10.717 * [backup-simplify]: Simplify 0 into 0 10.718 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.718 * [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 10.718 * [backup-simplify]: Simplify 0 into 0 10.719 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.719 * [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 10.719 * [backup-simplify]: Simplify 0 into 0 10.720 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 10.720 * [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 10.720 * [backup-simplify]: Simplify 0 into 0 10.720 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 10.721 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 10.721 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 10.721 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.721 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.721 * [taylor]: Taking taylor expansion of a in a 10.721 * [backup-simplify]: Simplify 0 into 0 10.721 * [backup-simplify]: Simplify 1 into 1 10.721 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.721 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.721 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.721 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.721 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.721 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.721 * [taylor]: Taking taylor expansion of a in a 10.721 * [backup-simplify]: Simplify 0 into 0 10.721 * [backup-simplify]: Simplify 1 into 1 10.721 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.721 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.721 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.722 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.722 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 10.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.723 * [backup-simplify]: Simplify 0 into 0 10.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 10.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.723 * [backup-simplify]: Simplify 0 into 0 10.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 10.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.725 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 10.726 * [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 10.726 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 10.728 * [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 10.728 * [backup-simplify]: Simplify 0 into 0 10.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 10.729 * [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 10.730 * [backup-simplify]: Simplify 0 into 0 10.730 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 10.730 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 10.730 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 10.730 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 10.730 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 10.730 * [taylor]: Taking taylor expansion of -1 in a 10.730 * [backup-simplify]: Simplify -1 into -1 10.730 * [taylor]: Taking taylor expansion of (acos a) in a 10.730 * [backup-simplify]: Simplify (acos a) into (acos a) 10.730 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.730 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 10.730 * [taylor]: Taking taylor expansion of -1 in a 10.730 * [backup-simplify]: Simplify -1 into -1 10.730 * [taylor]: Taking taylor expansion of (acos a) in a 10.730 * [backup-simplify]: Simplify (acos a) into (acos a) 10.730 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.730 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.730 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 10.730 * [backup-simplify]: Simplify 0 into 0 10.731 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.731 * [backup-simplify]: Simplify 0 into 0 10.731 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.731 * [backup-simplify]: Simplify 0 into 0 10.731 * [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 10.731 * [backup-simplify]: Simplify 0 into 0 10.731 * [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 10.731 * [backup-simplify]: Simplify 0 into 0 10.732 * [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 10.732 * [backup-simplify]: Simplify 0 into 0 10.732 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.732 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 10.732 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 10.732 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 10.732 * [taylor]: Taking taylor expansion of -1 in a 10.732 * [backup-simplify]: Simplify -1 into -1 10.732 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.732 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.732 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.732 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 10.732 * [taylor]: Taking taylor expansion of -1 in a 10.732 * [backup-simplify]: Simplify -1 into -1 10.732 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.732 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.732 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.732 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.732 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.732 * [backup-simplify]: Simplify 0 into 0 10.733 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.733 * [backup-simplify]: Simplify 0 into 0 10.733 * [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 10.733 * [backup-simplify]: Simplify 0 into 0 10.733 * [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 10.733 * [backup-simplify]: Simplify 0 into 0 10.734 * [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 10.734 * [backup-simplify]: Simplify 0 into 0 10.734 * [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 10.734 * [backup-simplify]: Simplify 0 into 0 10.734 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 10.735 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 10.735 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 10.735 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 10.735 * [taylor]: Taking taylor expansion of -1 in a 10.735 * [backup-simplify]: Simplify -1 into -1 10.735 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.735 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.735 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.735 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 10.735 * [taylor]: Taking taylor expansion of -1 in a 10.735 * [backup-simplify]: Simplify -1 into -1 10.735 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.735 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.735 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.735 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.735 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.735 * [backup-simplify]: Simplify 0 into 0 10.735 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.736 * [backup-simplify]: Simplify 0 into 0 10.736 * [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 10.736 * [backup-simplify]: Simplify 0 into 0 10.736 * [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 10.736 * [backup-simplify]: Simplify 0 into 0 10.736 * [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 10.737 * [backup-simplify]: Simplify 0 into 0 10.737 * [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 10.737 * [backup-simplify]: Simplify 0 into 0 10.738 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 10.738 * * * [progress]: simplifying candidates 10.748 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos 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Extracting # 1 : cost 0 11.939 * * [simplify]: Extracting # 2 : cost 0 11.941 * * [simplify]: Extracting # 3 : cost 0 11.943 * * [simplify]: iteration 2 : 3262 enodes (cost 7448 ) 12.543 * * [simplify]: Extracting # 0 : cost 0 12.547 * * [simplify]: Extracting # 1 : cost 0 12.550 * * [simplify]: Extracting # 2 : cost 0 12.553 * * [simplify]: Extracting # 3 : cost 0 12.556 * * [simplify]: Extracting # 4 : cost 0 12.559 * * [simplify]: Extracting # 5 : cost 0 12.567 * * [simplify]: Extracting # 6 : cost 0 12.570 * * [simplify]: iteration done: 5000 enodes (cost 7226 ) 12.574 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- 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a))) 1 (/ a (- (acos a))) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) a (/ (- (acos a)) a) (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (/ (* (cbrt a) (cbrt a)) (- (acos a))) (/ (sqrt a) (- (acos a))) (/ 1 (- (acos a))) (/ (* (cbrt a) (cbrt a)) (- (acos a))) (/ (sqrt a) (- (acos a))) (/ 1 (- (acos a))) (/ (* (cbrt a) (cbrt a)) (- (acos a))) (/ (sqrt a) (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) (/ (/ 1 a) (sqrt (/ 1 (- (acos 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)) 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)) 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)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (expm1 (/ 1 (- (acos a)))) (log1p (/ 1 (- (acos a)))) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ 1 (pow (- (acos a)) 3)) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (/ 1 (pow (- (acos a)) 3)) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) -1 (acos a) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 12.580 * * * [progress]: adding candidates to table 12.911 * [progress]: [Phase 3 of 3] Extracting. 12.911 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 12.912 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 12.912 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # #) 12.945 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 12.976 * * * [regime]: Found split indices: #