94.783 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (/ a (- (acos a))) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: Extracting # 3 : cost 0 0.031 * * [simplify]: Extracting # 4 : cost 0 0.031 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.032 * [simplify]: Simplified to: (/ a (- (acos a))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.051 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.051 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.051 * [taylor]: Taking taylor expansion of -1 in a 0.051 * [backup-simplify]: Simplify -1 into -1 0.051 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.051 * [taylor]: Taking taylor expansion of a in a 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of (acos a) in a 0.051 * [backup-simplify]: Simplify (acos a) into (acos a) 0.051 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.051 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.051 * [taylor]: Taking taylor expansion of -1 in a 0.051 * [backup-simplify]: Simplify -1 into -1 0.051 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.051 * [taylor]: Taking taylor expansion of a in a 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of (acos a) in a 0.051 * [backup-simplify]: Simplify (acos a) into (acos a) 0.051 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.052 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.052 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.052 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.052 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.060 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.060 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.060 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.060 * [taylor]: Taking taylor expansion of -1 in a 0.060 * [backup-simplify]: Simplify -1 into -1 0.060 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.060 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.061 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.061 * [taylor]: Taking taylor expansion of a in a 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.061 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.061 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.061 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.061 * [taylor]: Taking taylor expansion of -1 in a 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.061 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.061 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.061 * [taylor]: Taking taylor expansion of a in a 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.062 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.062 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.062 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.063 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.067 * [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 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.069 * [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 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.069 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.069 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.069 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.069 * [taylor]: Taking taylor expansion of a in a 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.069 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.069 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.070 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.070 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.070 * [taylor]: Taking taylor expansion of a in a 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.070 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.070 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.071 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.071 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.081 * [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 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.081 * * * [progress]: simplifying candidates 0.082 * [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))) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: Extracting # 1 : cost 0 0.084 * * [simplify]: Extracting # 2 : cost 0 0.084 * * [simplify]: Extracting # 3 : cost 0 0.084 * * [simplify]: Extracting # 4 : cost 0 0.084 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.155 * * [simplify]: Extracting # 0 : cost 0 0.156 * * [simplify]: Extracting # 1 : cost 0 0.157 * * [simplify]: Extracting # 2 : cost 0 0.158 * * [simplify]: Extracting # 3 : cost 0 0.158 * * [simplify]: iteration 1 : 427 enodes (cost 581 ) 25.215 * * [simplify]: Extracting # 0 : cost 0 25.226 * * [simplify]: Extracting # 1 : cost 0 25.245 * * [simplify]: Extracting # 2 : cost 0 25.258 * * [simplify]: Extracting # 3 : cost 0 25.266 * * [simplify]: Extracting # 4 : cost 0 25.274 * * [simplify]: Extracting # 5 : cost 0 25.282 * * [simplify]: Extracting # 6 : cost 0 25.290 * * [simplify]: iteration done: 5000 enodes (cost 563 ) 25.291 * [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 -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 25.292 * * * [progress]: adding candidates to table 25.417 * * [progress]: iteration 2 / 4 25.417 * * * [progress]: picking best candidate 25.434 * * * * [pick]: Picked # 25.434 * * * [progress]: localizing error 25.441 * * * [progress]: generating rewritten candidates 25.441 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 25.490 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 25.517 * * * [progress]: generating series expansions 25.517 * * * * [progress]: [ 1 / 2 ] generating series at (2) 25.518 * [backup-simplify]: Simplify (* a (/ 1 (- (acos a)))) into (* -1 (/ a (acos a))) 25.518 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 25.518 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 25.518 * [taylor]: Taking taylor expansion of -1 in a 25.518 * [backup-simplify]: Simplify -1 into -1 25.518 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 25.518 * [taylor]: Taking taylor expansion of a in a 25.518 * [backup-simplify]: Simplify 0 into 0 25.518 * [backup-simplify]: Simplify 1 into 1 25.518 * [taylor]: Taking taylor expansion of (acos a) in a 25.518 * [backup-simplify]: Simplify (acos a) into (acos a) 25.518 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 25.518 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 25.518 * [taylor]: Taking taylor expansion of -1 in a 25.518 * [backup-simplify]: Simplify -1 into -1 25.518 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 25.518 * [taylor]: Taking taylor expansion of a in a 25.518 * [backup-simplify]: Simplify 0 into 0 25.518 * [backup-simplify]: Simplify 1 into 1 25.518 * [taylor]: Taking taylor expansion of (acos a) in a 25.519 * [backup-simplify]: Simplify (acos a) into (acos a) 25.519 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 25.519 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 25.519 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 25.519 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 25.520 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 25.521 * [backup-simplify]: Simplify 0 into 0 25.521 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 25.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 25.522 * [backup-simplify]: Simplify 0 into 0 25.523 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 25.524 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 25.524 * [backup-simplify]: Simplify 0 into 0 25.525 * [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 25.527 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 25.527 * [backup-simplify]: Simplify 0 into 0 25.528 * [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 25.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 25.530 * [backup-simplify]: Simplify 0 into 0 25.531 * [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 25.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 25.534 * [backup-simplify]: Simplify 0 into 0 25.534 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 25.535 * [backup-simplify]: Simplify (* (/ 1 a) (/ 1 (- (acos (/ 1 a))))) into (/ -1 (* (acos (/ 1 a)) a)) 25.535 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 25.535 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 25.535 * [taylor]: Taking taylor expansion of -1 in a 25.535 * [backup-simplify]: Simplify -1 into -1 25.535 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 25.535 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 25.535 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 25.535 * [taylor]: Taking taylor expansion of a in a 25.535 * [backup-simplify]: Simplify 0 into 0 25.535 * [backup-simplify]: Simplify 1 into 1 25.535 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 25.536 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 25.536 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 25.536 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 25.536 * [taylor]: Taking taylor expansion of -1 in a 25.536 * [backup-simplify]: Simplify -1 into -1 25.536 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 25.536 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 25.536 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 25.536 * [taylor]: Taking taylor expansion of a in a 25.536 * [backup-simplify]: Simplify 0 into 0 25.536 * [backup-simplify]: Simplify 1 into 1 25.537 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 25.537 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 25.537 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 25.538 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 25.539 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 25.539 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 25.539 * [backup-simplify]: Simplify 0 into 0 25.540 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 25.541 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 25.541 * [backup-simplify]: Simplify 0 into 0 25.542 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 25.543 * [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 25.543 * [backup-simplify]: Simplify 0 into 0 25.545 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 25.545 * [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 25.545 * [backup-simplify]: Simplify 0 into 0 25.547 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 25.548 * [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 25.548 * [backup-simplify]: Simplify 0 into 0 25.550 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 25.552 * [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 25.552 * [backup-simplify]: Simplify 0 into 0 25.552 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 25.552 * [backup-simplify]: Simplify (* (/ 1 (- a)) (/ 1 (- (acos (/ 1 (- a)))))) into (/ 1 (* a (acos (/ -1 a)))) 25.552 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 25.552 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 25.552 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 25.552 * [taylor]: Taking taylor expansion of a in a 25.552 * [backup-simplify]: Simplify 0 into 0 25.552 * [backup-simplify]: Simplify 1 into 1 25.552 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 25.553 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 25.553 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 25.554 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 25.554 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 25.554 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 25.554 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 25.554 * [taylor]: Taking taylor expansion of a in a 25.554 * [backup-simplify]: Simplify 0 into 0 25.554 * [backup-simplify]: Simplify 1 into 1 25.554 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 25.554 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 25.554 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 25.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 25.555 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 25.555 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 25.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 25.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 25.557 * [backup-simplify]: Simplify 0 into 0 25.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 25.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 25.559 * [backup-simplify]: Simplify 0 into 0 25.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 25.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 25.562 * [backup-simplify]: Simplify 0 into 0 25.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 25.565 * [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 25.565 * [backup-simplify]: Simplify 0 into 0 25.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 25.568 * [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 25.569 * [backup-simplify]: Simplify 0 into 0 25.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 25.573 * [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 25.573 * [backup-simplify]: Simplify 0 into 0 25.573 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 25.573 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 25.573 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 25.573 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 25.574 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 25.574 * [taylor]: Taking taylor expansion of -1 in a 25.574 * [backup-simplify]: Simplify -1 into -1 25.574 * [taylor]: Taking taylor expansion of (acos a) in a 25.574 * [backup-simplify]: Simplify (acos a) into (acos a) 25.574 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 25.574 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 25.574 * [taylor]: Taking taylor expansion of -1 in a 25.574 * [backup-simplify]: Simplify -1 into -1 25.574 * [taylor]: Taking taylor expansion of (acos a) in a 25.574 * [backup-simplify]: Simplify (acos a) into (acos a) 25.574 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 25.574 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 25.575 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 25.575 * [backup-simplify]: Simplify 0 into 0 25.575 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 25.575 * [backup-simplify]: Simplify 0 into 0 25.576 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 25.576 * [backup-simplify]: Simplify 0 into 0 25.576 * [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 25.576 * [backup-simplify]: Simplify 0 into 0 25.577 * [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 25.577 * [backup-simplify]: Simplify 0 into 0 25.577 * [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 25.578 * [backup-simplify]: Simplify 0 into 0 25.578 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 25.578 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 25.578 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 25.578 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 25.578 * [taylor]: Taking taylor expansion of -1 in a 25.578 * [backup-simplify]: Simplify -1 into -1 25.578 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 25.578 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 25.578 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 25.578 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 25.578 * [taylor]: Taking taylor expansion of -1 in a 25.578 * [backup-simplify]: Simplify -1 into -1 25.578 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 25.578 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 25.579 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 25.579 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 25.579 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 25.579 * [backup-simplify]: Simplify 0 into 0 25.580 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 25.580 * [backup-simplify]: Simplify 0 into 0 25.580 * [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 25.580 * [backup-simplify]: Simplify 0 into 0 25.581 * [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 25.581 * [backup-simplify]: Simplify 0 into 0 25.581 * [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 25.581 * [backup-simplify]: Simplify 0 into 0 25.582 * [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 25.582 * [backup-simplify]: Simplify 0 into 0 25.582 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 25.582 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 25.582 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 25.582 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 25.582 * [taylor]: Taking taylor expansion of -1 in a 25.582 * [backup-simplify]: Simplify -1 into -1 25.582 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 25.582 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 25.582 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 25.582 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 25.582 * [taylor]: Taking taylor expansion of -1 in a 25.582 * [backup-simplify]: Simplify -1 into -1 25.582 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 25.582 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 25.582 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 25.582 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 25.583 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 25.583 * [backup-simplify]: Simplify 0 into 0 25.583 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 25.583 * [backup-simplify]: Simplify 0 into 0 25.583 * [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 25.583 * [backup-simplify]: Simplify 0 into 0 25.583 * [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 25.583 * [backup-simplify]: Simplify 0 into 0 25.584 * [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 25.584 * [backup-simplify]: Simplify 0 into 0 25.584 * [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 25.584 * [backup-simplify]: Simplify 0 into 0 25.584 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 25.584 * * * [progress]: simplifying candidates 25.586 * [simplify]: Simplifying: (expm1 (* a (/ 1 (- (acos a))))) (log1p (* a (/ 1 (- (acos a))))) (* a (/ 1 (- (acos a)))) (+ (log a) (- (log (- (acos a))))) (+ (log a) (- 0 (log (- (acos a))))) (+ (log a) (- (log 1) (log (- (acos a))))) (+ (log a) (log (/ 1 (- (acos a))))) (log (* a (/ 1 (- (acos a))))) (exp (* a (/ 1 (- (acos a))))) (* (* (* a a) a) (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a))))) (* (* (* a a) a) (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (* (cbrt (* a (/ 1 (- (acos a))))) (cbrt (* a (/ 1 (- (acos a)))))) (cbrt (* a (/ 1 (- (acos a))))) (* (* (* a (/ 1 (- (acos a)))) (* a (/ 1 (- (acos a))))) (* a (/ 1 (- (acos a))))) (sqrt (* a (/ 1 (- (acos a))))) (sqrt (* a (/ 1 (- (acos a))))) (* (sqrt a) (sqrt (/ 1 (- (acos a))))) (* (sqrt a) (sqrt (/ 1 (- (acos a))))) (* (sqrt a) (/ (sqrt 1) (sqrt (- (acos a))))) (* (sqrt a) (/ (sqrt 1) (sqrt (- (acos a))))) (* (sqrt a) (/ 1 (sqrt (- (acos a))))) (* (sqrt a) (/ 1 (sqrt (- (acos a))))) (* a (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a)))))) (* a (sqrt (/ 1 (- (acos a))))) (* a (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))))) (* a (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (acos a))))) (* a (/ (* (cbrt 1) (cbrt 1)) 1)) (* a (/ (* (cbrt 1) (cbrt 1)) -1)) (* a (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (acos a)) (cbrt (acos a)))))) (* a (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (acos a))))) (* a (/ (* (cbrt 1) (cbrt 1)) (- 1))) (* a (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (* (cbrt 1) (cbrt 1)) (sqrt (acos a)))) (* a (/ (* (cbrt 1) (cbrt 1)) 1)) (* a (/ (sqrt 1) (* (cbrt (- (acos a))) (cbrt (- (acos a)))))) (* a (/ (sqrt 1) (sqrt (- (acos a))))) (* a (/ (sqrt 1) 1)) (* a (/ (sqrt 1) -1)) (* a (/ (sqrt 1) (- (* (cbrt (acos a)) (cbrt (acos a)))))) (* a (/ (sqrt 1) (- (sqrt (acos a))))) (* a (/ (sqrt 1) (- 1))) (* a (/ (sqrt 1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt 1) (sqrt (acos a)))) (* a (/ (sqrt 1) 1)) (* a (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a)))))) (* a (/ 1 (sqrt (- (acos a))))) (* a (/ 1 1)) (* a (/ 1 -1)) (* a (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a)))))) (* a (/ 1 (- (sqrt (acos a))))) (* a (/ 1 (- 1))) (* a (/ 1 (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ 1 (sqrt (acos a)))) (* a (/ 1 1)) (* a 1) (* a 1) (* (cbrt a) (/ 1 (- (acos a)))) (* (sqrt a) (/ 1 (- (acos a)))) (* a (/ 1 (- (acos a)))) (* a 1) (expm1 (/ 1 (- (acos a)))) (log1p (/ 1 (- (acos a)))) (- 1) (- (log (- (acos a)))) (- 0 (log (- (acos a)))) (- (log 1) (log (- (acos a)))) (log (/ 1 (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) (- 1) (- (- (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt 1) (cbrt (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (acos a)))) (/ (cbrt 1) (sqrt (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (acos a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (acos a)) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt 1) (cbrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (acos a)))) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt 1) (- (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (acos a))) (/ (cbrt 1) (- (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (acos a))) (/ (sqrt 1) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt 1) (cbrt (- (acos a)))) (/ (sqrt 1) (sqrt (- (acos a)))) (/ (sqrt 1) (sqrt (- (acos a)))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) -1) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt 1) (cbrt (acos a))) (/ (sqrt 1) (- (sqrt (acos a)))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (- 1)) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt 1) (- (cbrt (acos a)))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (- (sqrt (acos a)))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 1) (/ 1 (- (acos a))) (/ 1 -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)) (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 1) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) 1) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) (/ 1 1) (/ 1 -1) (/ 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) (/ (- (acos a)) (cbrt 1)) (/ (- (acos a)) (sqrt 1)) (/ (- (acos a)) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 25.589 * * [simplify]: Extracting # 0 : cost 0 25.589 * * [simplify]: Extracting # 1 : cost 0 25.589 * * [simplify]: Extracting # 2 : cost 0 25.589 * * [simplify]: Extracting # 3 : cost 0 25.590 * * [simplify]: Extracting # 4 : cost 0 25.590 * * [simplify]: Extracting # 5 : cost 0 25.590 * * [simplify]: Extracting # 6 : cost 0 25.590 * * [simplify]: iteration 0 : 146 enodes (cost 1224 ) 27.470 * * [simplify]: Extracting # 0 : cost 0 27.472 * * [simplify]: Extracting # 1 : cost 0 27.473 * * [simplify]: Extracting # 2 : cost 0 27.475 * * [simplify]: Extracting # 3 : cost 0 27.476 * * [simplify]: Extracting # 4 : cost 0 27.478 * * [simplify]: iteration 1 : 1977 enodes (cost 892 ) 34.808 * * [simplify]: Extracting # 0 : cost 0 34.820 * * [simplify]: Extracting # 1 : cost 0 34.825 * * [simplify]: Extracting # 2 : cost 0 34.830 * * [simplify]: Extracting # 3 : cost 0 34.834 * * [simplify]: Extracting # 4 : cost 0 34.838 * * [simplify]: Extracting # 5 : cost 0 34.843 * * [simplify]: iteration done: 5001 enodes (cost 844 ) 34.844 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (/ a (- (acos a))) (log (/ a (- (acos a)))) (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) (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)))) (* (sqrt a) (sqrt (/ 1 (- (acos a))))) (* (sqrt a) (sqrt (/ 1 (- (acos a))))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (* a (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a)))))) (* a (sqrt (/ 1 (- (acos 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 (/ (/ 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 (/ (/ 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 a a (/ (cbrt a) (- (acos a))) (/ (sqrt a) (- (acos a))) (/ 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)) 34.844 * * * [progress]: adding candidates to table 35.069 * * [progress]: iteration 3 / 4 35.069 * * * [progress]: picking best candidate 35.086 * * * * [pick]: Picked # 35.086 * * * [progress]: localizing error 35.092 * * * [progress]: generating rewritten candidates 35.093 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 35.109 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 35.143 * * * [progress]: generating series expansions 35.143 * * * * [progress]: [ 1 / 2 ] generating series at (2) 35.143 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 35.143 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 35.143 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 35.143 * [taylor]: Taking taylor expansion of -1 in a 35.143 * [backup-simplify]: Simplify -1 into -1 35.143 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 35.143 * [taylor]: Taking taylor expansion of a in a 35.143 * [backup-simplify]: Simplify 0 into 0 35.143 * [backup-simplify]: Simplify 1 into 1 35.143 * [taylor]: Taking taylor expansion of (acos a) in a 35.143 * [backup-simplify]: Simplify (acos a) into (acos a) 35.143 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 35.144 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 35.144 * [taylor]: Taking taylor expansion of -1 in a 35.144 * [backup-simplify]: Simplify -1 into -1 35.144 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 35.144 * [taylor]: Taking taylor expansion of a in a 35.144 * [backup-simplify]: Simplify 0 into 0 35.144 * [backup-simplify]: Simplify 1 into 1 35.144 * [taylor]: Taking taylor expansion of (acos a) in a 35.144 * [backup-simplify]: Simplify (acos a) into (acos a) 35.144 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 35.144 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 35.144 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 35.144 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 35.145 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 35.145 * [backup-simplify]: Simplify 0 into 0 35.145 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 35.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 35.146 * [backup-simplify]: Simplify 0 into 0 35.146 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 35.147 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 35.147 * [backup-simplify]: Simplify 0 into 0 35.147 * [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 35.148 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 35.148 * [backup-simplify]: Simplify 0 into 0 35.149 * [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 35.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 35.156 * [backup-simplify]: Simplify 0 into 0 35.157 * [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 35.158 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 35.158 * [backup-simplify]: Simplify 0 into 0 35.158 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 35.158 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 35.158 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 35.159 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 35.159 * [taylor]: Taking taylor expansion of -1 in a 35.159 * [backup-simplify]: Simplify -1 into -1 35.159 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 35.159 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 35.159 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 35.159 * [taylor]: Taking taylor expansion of a in a 35.159 * [backup-simplify]: Simplify 0 into 0 35.159 * [backup-simplify]: Simplify 1 into 1 35.159 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 35.159 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 35.159 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 35.159 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 35.159 * [taylor]: Taking taylor expansion of -1 in a 35.159 * [backup-simplify]: Simplify -1 into -1 35.159 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 35.159 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 35.160 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 35.160 * [taylor]: Taking taylor expansion of a in a 35.160 * [backup-simplify]: Simplify 0 into 0 35.160 * [backup-simplify]: Simplify 1 into 1 35.160 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 35.160 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 35.160 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 35.160 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 35.161 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 35.161 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 35.161 * [backup-simplify]: Simplify 0 into 0 35.162 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 35.162 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 35.162 * [backup-simplify]: Simplify 0 into 0 35.163 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 35.163 * [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 35.163 * [backup-simplify]: Simplify 0 into 0 35.164 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 35.164 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 35.164 * [backup-simplify]: Simplify 0 into 0 35.165 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 35.166 * [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 35.166 * [backup-simplify]: Simplify 0 into 0 35.167 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 35.167 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 35.167 * [backup-simplify]: Simplify 0 into 0 35.168 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 35.168 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 35.168 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 35.168 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 35.168 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 35.168 * [taylor]: Taking taylor expansion of a in a 35.168 * [backup-simplify]: Simplify 0 into 0 35.168 * [backup-simplify]: Simplify 1 into 1 35.168 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 35.168 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 35.168 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 35.168 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 35.169 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 35.169 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 35.169 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 35.169 * [taylor]: Taking taylor expansion of a in a 35.169 * [backup-simplify]: Simplify 0 into 0 35.169 * [backup-simplify]: Simplify 1 into 1 35.169 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 35.169 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 35.169 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 35.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 35.170 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 35.170 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 35.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 35.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 35.171 * [backup-simplify]: Simplify 0 into 0 35.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 35.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 35.173 * [backup-simplify]: Simplify 0 into 0 35.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 35.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 35.174 * [backup-simplify]: Simplify 0 into 0 35.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 35.176 * [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 35.176 * [backup-simplify]: Simplify 0 into 0 35.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 35.178 * [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 35.178 * [backup-simplify]: Simplify 0 into 0 35.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 35.180 * [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 35.180 * [backup-simplify]: Simplify 0 into 0 35.181 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 35.181 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 35.181 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 35.181 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 35.181 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 35.181 * [taylor]: Taking taylor expansion of -1 in a 35.181 * [backup-simplify]: Simplify -1 into -1 35.181 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 35.181 * [taylor]: Taking taylor expansion of (acos a) in a 35.181 * [backup-simplify]: Simplify (acos a) into (acos a) 35.181 * [taylor]: Taking taylor expansion of a in a 35.181 * [backup-simplify]: Simplify 0 into 0 35.181 * [backup-simplify]: Simplify 1 into 1 35.181 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 35.181 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 35.181 * [taylor]: Taking taylor expansion of -1 in a 35.181 * [backup-simplify]: Simplify -1 into -1 35.181 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 35.181 * [taylor]: Taking taylor expansion of (acos a) in a 35.181 * [backup-simplify]: Simplify (acos a) into (acos a) 35.181 * [taylor]: Taking taylor expansion of a in a 35.181 * [backup-simplify]: Simplify 0 into 0 35.181 * [backup-simplify]: Simplify 1 into 1 35.181 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 35.181 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 35.181 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 35.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 35.183 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 35.183 * [backup-simplify]: Simplify 0 into 0 35.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.185 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 35.185 * [backup-simplify]: Simplify 0 into 0 35.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 35.188 * [backup-simplify]: Simplify 0 into 0 35.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.190 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 35.190 * [backup-simplify]: Simplify 0 into 0 35.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.194 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 35.194 * [backup-simplify]: Simplify 0 into 0 35.196 * [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 35.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 35.197 * [backup-simplify]: Simplify 0 into 0 35.197 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 35.198 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 35.198 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 35.198 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 35.198 * [taylor]: Taking taylor expansion of -1 in a 35.198 * [backup-simplify]: Simplify -1 into -1 35.198 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 35.198 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 35.198 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 35.198 * [taylor]: Taking taylor expansion of a in a 35.198 * [backup-simplify]: Simplify 0 into 0 35.198 * [backup-simplify]: Simplify 1 into 1 35.198 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 35.198 * [taylor]: Taking taylor expansion of -1 in a 35.198 * [backup-simplify]: Simplify -1 into -1 35.198 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 35.198 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 35.198 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 35.198 * [taylor]: Taking taylor expansion of a in a 35.198 * [backup-simplify]: Simplify 0 into 0 35.198 * [backup-simplify]: Simplify 1 into 1 35.198 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 35.199 * [backup-simplify]: Simplify (* -1 0) into 0 35.199 * [backup-simplify]: Simplify 0 into 0 35.199 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 35.199 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 35.199 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 35.200 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 35.200 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 35.200 * [backup-simplify]: Simplify 0 into 0 35.201 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 35.202 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 35.202 * [backup-simplify]: Simplify 0 into 0 35.203 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 35.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 35.204 * [backup-simplify]: Simplify 0 into 0 35.204 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 35.206 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 35.206 * [backup-simplify]: Simplify 0 into 0 35.208 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 35.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 35.210 * [backup-simplify]: Simplify 0 into 0 35.212 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 35.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 35.214 * [backup-simplify]: Simplify 0 into 0 35.214 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 35.214 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 35.214 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 35.214 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 35.214 * [taylor]: Taking taylor expansion of a in a 35.214 * [backup-simplify]: Simplify 0 into 0 35.214 * [backup-simplify]: Simplify 1 into 1 35.214 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 35.214 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 35.214 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 35.214 * [taylor]: Taking taylor expansion of a in a 35.214 * [backup-simplify]: Simplify 0 into 0 35.215 * [backup-simplify]: Simplify 1 into 1 35.215 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 35.215 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 35.215 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 35.215 * [backup-simplify]: Simplify 0 into 0 35.215 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 35.215 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 35.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 35.216 * [backup-simplify]: Simplify 0 into 0 35.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 35.217 * [backup-simplify]: Simplify 0 into 0 35.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 35.218 * [backup-simplify]: Simplify 0 into 0 35.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 35.219 * [backup-simplify]: Simplify 0 into 0 35.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 35.221 * [backup-simplify]: Simplify 0 into 0 35.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 35.223 * [backup-simplify]: Simplify 0 into 0 35.223 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 35.223 * * * [progress]: simplifying candidates 35.227 * [simplify]: Simplifying: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (- (acos a))) a)) (/ (sqrt 1) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (- (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (/ -1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ -1 (sqrt a))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ -1 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ (- 1) (sqrt a))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ (- 1) 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (- (cbrt (acos a))) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (cbrt 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(/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 35.232 * * [simplify]: Extracting # 0 : cost 0 35.233 * * [simplify]: Extracting # 1 : cost 0 35.233 * * [simplify]: Extracting # 2 : cost 0 35.234 * * [simplify]: Extracting # 3 : cost 0 35.234 * * [simplify]: Extracting # 4 : cost 0 35.234 * * [simplify]: Extracting # 5 : cost 0 35.235 * * [simplify]: iteration 0 : 292 enodes (cost 3194 ) 37.680 * * [simplify]: Extracting # 0 : cost 0 37.684 * * [simplify]: Extracting # 1 : cost 0 37.687 * * [simplify]: Extracting # 2 : cost 0 37.690 * * [simplify]: Extracting # 3 : cost 0 37.692 * * [simplify]: Extracting # 4 : cost 0 37.695 * * [simplify]: iteration 1 : 2725 enodes (cost 2563 ) 45.058 * * [simplify]: Extracting # 0 : cost 0 45.072 * * [simplify]: Extracting # 1 : cost 0 45.084 * * [simplify]: Extracting # 2 : cost 0 45.094 * * [simplify]: Extracting # 3 : cost 0 45.104 * * [simplify]: Extracting # 4 : cost 0 45.110 * * [simplify]: iteration done: 5000 enodes (cost 2515 ) 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a))))) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (* -1 (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ a (acos a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt 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))) (* (* (cbrt a) (cbrt a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a)))))) (* (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (sqrt a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (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 a)) a))) (cbrt (/ (- (acos a)) a)) (pow (- (/ (acos a) a)) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (- (/ (acos a) (cbrt a))) (/ 1 (sqrt a)) (- (/ (acos a) (sqrt a))) 1 (- (/ (acos a) a)) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (cbrt (acos a)) (/ (- (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (* (cbrt (acos a)) (/ (- (cbrt (acos a))) (sqrt a))) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (* (cbrt (acos a)) (/ (cbrt (acos a)) (sqrt a))) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (- (cbrt (acos a))) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (- (/ (acos a) (cbrt a))) (/ 1 (sqrt a)) (- (/ (acos a) (sqrt a))) 1 (- (/ (acos a) a)) (/ 1 a) (/ (- a) (acos a)) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (- (/ (acos a) (sqrt a))) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ (- a) (acos a)) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) 45.114 * * * [progress]: adding candidates to table 45.598 * * [progress]: iteration 4 / 4 45.598 * * * [progress]: picking best candidate 45.618 * * * * [pick]: Picked # 45.618 * * * [progress]: localizing error 45.627 * * * [progress]: generating rewritten candidates 45.627 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 45.666 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 45.757 * * * [progress]: generating series expansions 45.757 * * * * [progress]: [ 1 / 2 ] generating series at (2) 45.758 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 45.758 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 45.758 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 45.758 * [taylor]: Taking taylor expansion of -1 in a 45.758 * [backup-simplify]: Simplify -1 into -1 45.758 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 45.758 * [taylor]: Taking taylor expansion of a in a 45.758 * [backup-simplify]: Simplify 0 into 0 45.758 * [backup-simplify]: Simplify 1 into 1 45.758 * [taylor]: Taking taylor expansion of (acos a) in a 45.758 * [backup-simplify]: Simplify (acos a) into (acos a) 45.758 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 45.758 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 45.758 * [taylor]: Taking taylor expansion of -1 in a 45.758 * [backup-simplify]: Simplify -1 into -1 45.758 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 45.758 * [taylor]: Taking taylor expansion of a in a 45.758 * [backup-simplify]: Simplify 0 into 0 45.758 * [backup-simplify]: Simplify 1 into 1 45.759 * [taylor]: Taking taylor expansion of (acos a) in a 45.759 * [backup-simplify]: Simplify (acos a) into (acos a) 45.759 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 45.759 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 45.759 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 45.759 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 45.760 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 45.760 * [backup-simplify]: Simplify 0 into 0 45.761 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 45.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 45.762 * [backup-simplify]: Simplify 0 into 0 45.762 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 45.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 45.764 * [backup-simplify]: Simplify 0 into 0 45.765 * [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 45.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 45.766 * [backup-simplify]: Simplify 0 into 0 45.767 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 45.769 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 45.769 * [backup-simplify]: Simplify 0 into 0 45.770 * [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 45.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 45.773 * [backup-simplify]: Simplify 0 into 0 45.773 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 45.773 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 45.773 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 45.773 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 45.773 * [taylor]: Taking taylor expansion of -1 in a 45.773 * [backup-simplify]: Simplify -1 into -1 45.773 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 45.773 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 45.773 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 45.773 * [taylor]: Taking taylor expansion of a in a 45.773 * [backup-simplify]: Simplify 0 into 0 45.773 * [backup-simplify]: Simplify 1 into 1 45.773 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 45.774 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 45.774 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 45.774 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 45.774 * [taylor]: Taking taylor expansion of -1 in a 45.774 * [backup-simplify]: Simplify -1 into -1 45.774 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 45.774 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 45.775 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 45.775 * [taylor]: Taking taylor expansion of a in a 45.775 * [backup-simplify]: Simplify 0 into 0 45.775 * [backup-simplify]: Simplify 1 into 1 45.775 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 45.775 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 45.775 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 45.776 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 45.776 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 45.777 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 45.777 * [backup-simplify]: Simplify 0 into 0 45.778 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 45.778 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 45.778 * [backup-simplify]: Simplify 0 into 0 45.780 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 45.780 * [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 45.780 * [backup-simplify]: Simplify 0 into 0 45.782 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 45.782 * [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 45.782 * [backup-simplify]: Simplify 0 into 0 45.784 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 45.785 * [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 45.785 * [backup-simplify]: Simplify 0 into 0 45.787 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 45.788 * [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 45.788 * [backup-simplify]: Simplify 0 into 0 45.788 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 45.788 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 45.788 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 45.788 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 45.788 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 45.788 * [taylor]: Taking taylor expansion of a in a 45.788 * [backup-simplify]: Simplify 0 into 0 45.788 * [backup-simplify]: Simplify 1 into 1 45.788 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 45.789 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 45.789 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 45.789 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 45.790 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 45.790 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 45.790 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 45.790 * [taylor]: Taking taylor expansion of a in a 45.790 * [backup-simplify]: Simplify 0 into 0 45.790 * [backup-simplify]: Simplify 1 into 1 45.790 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 45.790 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 45.790 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 45.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 45.791 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 45.791 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 45.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 45.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 45.792 * [backup-simplify]: Simplify 0 into 0 45.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 45.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 45.794 * [backup-simplify]: Simplify 0 into 0 45.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 45.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 45.795 * [backup-simplify]: Simplify 0 into 0 45.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 45.797 * [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 45.797 * [backup-simplify]: Simplify 0 into 0 45.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 45.799 * [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 45.799 * [backup-simplify]: Simplify 0 into 0 45.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 45.801 * [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 45.801 * [backup-simplify]: Simplify 0 into 0 45.801 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 45.801 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 45.801 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 45.802 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 45.802 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 45.802 * [taylor]: Taking taylor expansion of -1 in a 45.802 * [backup-simplify]: Simplify -1 into -1 45.802 * [taylor]: Taking taylor expansion of (acos a) in a 45.802 * [backup-simplify]: Simplify (acos a) into (acos a) 45.802 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 45.802 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 45.802 * [taylor]: Taking taylor expansion of -1 in a 45.802 * [backup-simplify]: Simplify -1 into -1 45.802 * [taylor]: Taking taylor expansion of (acos a) in a 45.802 * [backup-simplify]: Simplify (acos a) into (acos a) 45.802 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 45.802 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 45.802 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 45.802 * [backup-simplify]: Simplify 0 into 0 45.802 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 45.802 * [backup-simplify]: Simplify 0 into 0 45.803 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 45.803 * [backup-simplify]: Simplify 0 into 0 45.803 * [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 45.803 * [backup-simplify]: Simplify 0 into 0 45.803 * [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 45.803 * [backup-simplify]: Simplify 0 into 0 45.804 * [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 45.804 * [backup-simplify]: Simplify 0 into 0 45.804 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 45.804 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 45.804 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 45.804 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 45.804 * [taylor]: Taking taylor expansion of -1 in a 45.804 * [backup-simplify]: Simplify -1 into -1 45.804 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 45.804 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 45.804 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 45.804 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 45.804 * [taylor]: Taking taylor expansion of -1 in a 45.804 * [backup-simplify]: Simplify -1 into -1 45.804 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 45.804 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 45.804 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 45.804 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 45.804 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 45.805 * [backup-simplify]: Simplify 0 into 0 45.805 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 45.805 * [backup-simplify]: Simplify 0 into 0 45.805 * [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 45.805 * [backup-simplify]: Simplify 0 into 0 45.805 * [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 45.805 * [backup-simplify]: Simplify 0 into 0 45.806 * [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 45.806 * [backup-simplify]: Simplify 0 into 0 45.806 * [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 45.806 * [backup-simplify]: Simplify 0 into 0 45.806 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 45.807 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 45.807 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 45.807 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 45.807 * [taylor]: Taking taylor expansion of -1 in a 45.807 * [backup-simplify]: Simplify -1 into -1 45.807 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 45.807 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 45.807 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 45.807 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 45.807 * [taylor]: Taking taylor expansion of -1 in a 45.807 * [backup-simplify]: Simplify -1 into -1 45.807 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 45.807 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 45.807 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 45.807 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 45.808 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 45.808 * [backup-simplify]: Simplify 0 into 0 45.808 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 45.808 * [backup-simplify]: Simplify 0 into 0 45.808 * [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 45.808 * [backup-simplify]: Simplify 0 into 0 45.808 * [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 45.808 * [backup-simplify]: Simplify 0 into 0 45.809 * [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 45.809 * [backup-simplify]: Simplify 0 into 0 45.809 * [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 45.809 * [backup-simplify]: Simplify 0 into 0 45.809 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 45.809 * * * [progress]: simplifying candidates 45.828 * [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 (/ 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(acos a)))) (sqrt 1) (/ (sqrt 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) (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- 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) (/ 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 (/ (- (acos a)) (cbrt 1)) (/ (- (acos a)) (sqrt 1)) (- (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 47.099 * * * [progress]: adding candidates to table 49.013 * [progress]: [Phase 3 of 3] Extracting. 49.014 * * [regime]: Finding splitpoints for: (# # # # # # #) 49.015 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 49.015 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # #) 49.062 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 49.084 * * * [regime]: Found split indices: #