61.601 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying: (/ a (- (acos a))) 0.041 * * [simplify]: iteration 0: 4 enodes 0.042 * * [simplify]: iteration complete: 4 enodes 0.042 * * [simplify]: Extracting #0: cost 1 inf + 0 0.042 * * [simplify]: Extracting #1: cost 3 inf + 0 0.042 * * [simplify]: Extracting #2: cost 3 inf + 1 0.042 * * [simplify]: Extracting #3: cost 0 inf + 394 0.042 * [simplify]: Simplified to: (/ a (- (acos a))) 0.043 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.065 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.065 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.065 * [taylor]: Taking taylor expansion of -1 in a 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.065 * [taylor]: Taking taylor expansion of a in a 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (acos a) in a 0.066 * [backup-simplify]: Simplify (acos a) into (acos a) 0.066 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.066 * [taylor]: Taking taylor expansion of -1 in a 0.066 * [backup-simplify]: Simplify -1 into -1 0.066 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.066 * [taylor]: Taking taylor expansion of a in a 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [taylor]: Taking taylor expansion of (acos a) in a 0.066 * [backup-simplify]: Simplify (acos a) into (acos a) 0.066 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.066 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.066 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.067 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.067 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.069 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [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 0.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [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 0.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [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 0.074 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.075 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.075 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.075 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.075 * [taylor]: Taking taylor expansion of -1 in a 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.075 * [taylor]: Taking taylor expansion of a in a 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.075 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.075 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.075 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.075 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.075 * [taylor]: Taking taylor expansion of -1 in a 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.075 * [taylor]: Taking taylor expansion of a in a 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.076 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.076 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.076 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.076 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 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 (acos (/ 1 a))))))) into 0 0.080 * [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 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.082 * [backup-simplify]: Simplify (- (/ 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 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.084 * [backup-simplify]: Simplify (- (/ 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 0.084 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.087 * [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 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.087 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.087 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.087 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.087 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.087 * [taylor]: Taking taylor expansion of a in a 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.087 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.087 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.088 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.088 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.088 * [taylor]: Taking taylor expansion of a in a 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.089 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.089 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.090 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.090 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.098 * [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 0.098 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.110 * [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 0.110 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.112 * [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 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.112 * * * [progress]: simplifying candidates 0.113 * [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))) 0.114 * * [simplify]: iteration 0: 96 enodes 0.133 * * [simplify]: iteration 1: 173 enodes 0.161 * * [simplify]: iteration 2: 466 enodes 0.416 * * [simplify]: iteration 3: 2093 enodes 1.277 * * [simplify]: iteration complete: 5000 enodes 1.277 * * [simplify]: Extracting #0: cost 65 inf + 0 1.280 * * [simplify]: Extracting #1: cost 663 inf + 44 1.290 * * [simplify]: Extracting #2: cost 1308 inf + 12084 1.343 * * [simplify]: Extracting #3: cost 640 inf + 213544 1.432 * * [simplify]: Extracting #4: cost 41 inf + 343143 1.505 * * [simplify]: Extracting #5: cost 4 inf + 354388 1.598 * * [simplify]: Extracting #6: cost 0 inf + 355660 1.667 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ 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 (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (/ (sqrt (- (acos a))) (cbrt 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 (acos a))) (cbrt (acos a))) (cbrt 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 (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt 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))) 1.669 * * * [progress]: adding candidates to table 1.920 * * [progress]: iteration 2 / 4 1.920 * * * [progress]: picking best candidate 1.970 * * * * [pick]: Picked # 1.970 * * * [progress]: localizing error 1.984 * * * [progress]: generating rewritten candidates 1.984 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.997 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.022 * * * [progress]: generating series expansions 2.022 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.022 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 2.022 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.022 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.022 * [taylor]: Taking taylor expansion of -1 in a 2.022 * [backup-simplify]: Simplify -1 into -1 2.022 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.022 * [taylor]: Taking taylor expansion of a in a 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of (acos a) in a 2.022 * [backup-simplify]: Simplify (acos a) into (acos a) 2.023 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.023 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.023 * [taylor]: Taking taylor expansion of -1 in a 2.023 * [backup-simplify]: Simplify -1 into -1 2.023 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.023 * [taylor]: Taking taylor expansion of a in a 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of (acos a) in a 2.023 * [backup-simplify]: Simplify (acos a) into (acos a) 2.023 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.023 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.023 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.024 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.024 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.026 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.037 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.038 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 2.038 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 2.038 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.038 * [taylor]: Taking taylor expansion of -1 in a 2.038 * [backup-simplify]: Simplify -1 into -1 2.038 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.038 * [taylor]: Taking taylor expansion of a in a 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.038 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.038 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.039 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.039 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.039 * [taylor]: Taking taylor expansion of -1 in a 2.039 * [backup-simplify]: Simplify -1 into -1 2.039 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.039 * [taylor]: Taking taylor expansion of a in a 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.039 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.039 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.041 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.041 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.042 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.047 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.050 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.058 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.058 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.058 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.058 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.058 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.058 * [taylor]: Taking taylor expansion of a in a 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.058 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.059 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.059 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.059 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.060 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.060 * [taylor]: Taking taylor expansion of a in a 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.060 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.060 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.061 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.061 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.068 * [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 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.070 * [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 2.070 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.072 * [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 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.072 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.072 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 2.072 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.072 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.072 * [taylor]: Taking taylor expansion of -1 in a 2.072 * [backup-simplify]: Simplify -1 into -1 2.072 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.072 * [taylor]: Taking taylor expansion of (acos a) in a 2.073 * [backup-simplify]: Simplify (acos a) into (acos a) 2.073 * [taylor]: Taking taylor expansion of a in a 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.073 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.073 * [taylor]: Taking taylor expansion of -1 in a 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.073 * [taylor]: Taking taylor expansion of (acos a) in a 2.073 * [backup-simplify]: Simplify (acos a) into (acos a) 2.073 * [taylor]: Taking taylor expansion of a in a 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.073 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.073 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.086 * [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 2.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.091 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 2.091 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 2.091 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.091 * [taylor]: Taking taylor expansion of -1 in a 2.091 * [backup-simplify]: Simplify -1 into -1 2.091 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.091 * [taylor]: Taking taylor expansion of a in a 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.091 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.091 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.091 * [taylor]: Taking taylor expansion of -1 in a 2.091 * [backup-simplify]: Simplify -1 into -1 2.091 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.091 * [taylor]: Taking taylor expansion of a in a 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.092 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.092 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.092 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.092 * [backup-simplify]: Simplify (* -1 0) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.093 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 2.093 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 2.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.101 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.105 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.109 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.115 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.115 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.115 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.115 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.115 * [taylor]: Taking taylor expansion of a in a 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.115 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.115 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.115 * [taylor]: Taking taylor expansion of a in a 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.116 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.116 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.117 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 2.128 * * * [progress]: simplifying candidates 2.134 * [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))) (/ 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(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) 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(/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 2.141 * * [simplify]: iteration 0: 292 enodes 2.356 * * [simplify]: iteration 1: 790 enodes 2.911 * * [simplify]: iteration 2: 3977 enodes 3.737 * * [simplify]: iteration complete: 5001 enodes 3.737 * * [simplify]: Extracting #0: cost 129 inf + 0 3.743 * * [simplify]: Extracting #1: cost 1397 inf + 309 3.772 * * [simplify]: Extracting #2: cost 1350 inf + 71522 3.831 * * [simplify]: Extracting #3: cost 515 inf + 280139 3.905 * * [simplify]: Extracting #4: cost 15 inf + 405861 3.988 * * [simplify]: Extracting #5: cost 0 inf + 410681 4.084 * [simplify]: Simplified to: (expm1 (* (/ 1 (- (acos a))) a)) (log1p (* (/ 1 (- (acos a))) a)) -1 (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (exp (* (/ 1 (- (acos a))) a)) (/ (/ 1 (* (/ (acos a) a) (/ (acos a) a))) (- (/ (acos a) a))) (/ (/ 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) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a)))) (/ (* 1 (cbrt a)) (cbrt (- (acos a)))) (* (sqrt a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a))))) (/ (* 1 (sqrt a)) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos 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(/ 1 (- (acos a))) a (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a)))) (/ (* 1 (cbrt a)) (cbrt (- (acos a)))) (* (sqrt a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a))))) (/ (* 1 (sqrt a)) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (* 1 a) (cbrt (- (acos a)))) (* (* (/ 1 (sqrt (- (acos a)))) (cbrt a)) (cbrt a)) (* (cbrt a) (/ 1 (sqrt (- (acos a))))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ (* 1 a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (* 1 (cbrt a)) (- (acos a))) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) (- (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (acos a))) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (* a (/ 1 (acos a))) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (cbrt a) (/ 1 (cbrt (acos a)))) (/ 1 (- (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))))) (/ (* 1 (sqrt a)) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ 1 (/ (cbrt (acos a)) a)) (* (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (cbrt a)) (/ (* 1 (cbrt a)) (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ (* 1 (sqrt a)) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (* (/ 1 (sqrt (acos a))) a) (- (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (acos a))) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (* a (/ 1 (acos a))) (/ 1 (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (* (/ 1 (- (cbrt (acos a)))) (cbrt a)) (* (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (sqrt a)) (/ (* 1 (sqrt a)) (- (cbrt (acos a)))) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (* a (/ 1 (- (cbrt (acos a))))) (* (* (cbrt a) (cbrt a)) (/ 1 (sqrt (acos a)))) (* (cbrt a) (/ 1 (- (sqrt (acos a))))) (/ (* 1 (sqrt a)) (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (/ 1 (- (/ (sqrt (acos a)) a))) (* (cbrt a) (cbrt a)) (/ (* 1 (cbrt a)) (- (acos a))) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (- (acos a))) a (* (/ 1 (- (acos a))) a) (- (/ (acos a) a)) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a)))) (* (sqrt a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (* (* (/ 1 (sqrt (- (acos a)))) (cbrt a)) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ 1 (- (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos 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 (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (* (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (sqrt a)) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (* (* (cbrt a) (cbrt a)) (/ 1 (sqrt (acos a)))) (/ (* 1 (sqrt a)) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (expm1 (- (/ (acos a) a))) (log1p (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (exp (- (/ (acos a) a))) (- (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a))) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a))) (- (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (acos a) (- a) 0 (/ (acos a) a) (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos 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 a)) (/ (cbrt (acos a)) (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (- (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos 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 a)) (/ (cbrt (acos a)) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos 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)) 4.109 * * * [progress]: adding candidates to table 4.988 * * [progress]: iteration 3 / 4 4.988 * * * [progress]: picking best candidate 5.016 * * * * [pick]: Picked # 5.017 * * * [progress]: localizing error 5.038 * * * [progress]: generating rewritten candidates 5.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.171 * * * [progress]: generating series expansions 5.171 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.172 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 5.172 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.172 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.172 * [taylor]: Taking taylor expansion of -1 in a 5.172 * [backup-simplify]: Simplify -1 into -1 5.172 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.172 * [taylor]: Taking taylor expansion of a in a 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [taylor]: Taking taylor expansion of (acos a) in a 5.172 * [backup-simplify]: Simplify (acos a) into (acos a) 5.172 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.172 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.172 * [taylor]: Taking taylor expansion of -1 in a 5.172 * [backup-simplify]: Simplify -1 into -1 5.172 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.172 * [taylor]: Taking taylor expansion of a in a 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [taylor]: Taking taylor expansion of (acos a) in a 5.172 * [backup-simplify]: Simplify (acos a) into (acos a) 5.173 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.173 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.173 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.173 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [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 5.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [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 5.180 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [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 5.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.182 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 5.182 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 5.182 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.182 * [taylor]: Taking taylor expansion of -1 in a 5.182 * [backup-simplify]: Simplify -1 into -1 5.182 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.183 * [taylor]: Taking taylor expansion of a in a 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.183 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.183 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.183 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.183 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.183 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.183 * [taylor]: Taking taylor expansion of -1 in a 5.183 * [backup-simplify]: Simplify -1 into -1 5.183 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.183 * [taylor]: Taking taylor expansion of a in a 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.183 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.183 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.184 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.184 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.184 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 5.185 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 5.186 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 5.188 * [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 5.188 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 5.190 * [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 5.190 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 5.192 * [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 5.192 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 5.194 * [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 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.194 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 5.194 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.195 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.195 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.195 * [taylor]: Taking taylor expansion of a in a 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.195 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.195 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.195 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.196 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.196 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.196 * [taylor]: Taking taylor expansion of a in a 5.196 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.196 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.196 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.197 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.197 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.199 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.201 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.203 * [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 5.203 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.205 * [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 5.205 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.208 * [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 5.208 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.208 * * * [progress]: simplifying candidates 5.217 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 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(* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (* (/ 1 (sqrt (acos a))) (cbrt a)) (cbrt a)) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) 1 (/ 1 (/ (- (acos a)) a)) a (/ (- (acos a)) a) (/ (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (sqrt (/ 1 (- (acos a)))) a)) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (- (* (/ 1 a) (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 7.924 * * * [progress]: adding candidates to table 8.846 * * [progress]: iteration 4 / 4 8.846 * * * [progress]: picking best candidate 8.885 * * * * [pick]: Picked # 8.885 * * * [progress]: localizing error 8.895 * * * [progress]: generating rewritten candidates 8.895 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 8.921 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 8.945 * * * [progress]: generating series expansions 8.945 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 8.945 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 8.945 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 8.945 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 8.945 * [taylor]: Taking taylor expansion of -1 in a 8.945 * [backup-simplify]: Simplify -1 into -1 8.945 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 8.945 * [taylor]: Taking taylor expansion of (acos a) in a 8.945 * [backup-simplify]: Simplify (acos a) into (acos a) 8.946 * [taylor]: Taking taylor expansion of a in a 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 8.946 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 8.946 * [taylor]: Taking taylor expansion of -1 in a 8.946 * [backup-simplify]: Simplify -1 into -1 8.946 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 8.946 * [taylor]: Taking taylor expansion of (acos a) in a 8.946 * [backup-simplify]: Simplify (acos a) into (acos a) 8.946 * [taylor]: Taking taylor expansion of a in a 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 8.946 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 8.946 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 8.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 8.947 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 8.949 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.954 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 8.954 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 8.957 * [backup-simplify]: Simplify 0 into 0 8.959 * [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 8.961 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 8.961 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* a (acos (/ 1 a)))) 8.961 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 8.961 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 8.961 * [taylor]: Taking taylor expansion of -1 in a 8.961 * [backup-simplify]: Simplify -1 into -1 8.961 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 8.961 * [taylor]: Taking taylor expansion of a in a 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.961 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.961 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 8.961 * [taylor]: Taking taylor expansion of -1 in a 8.961 * [backup-simplify]: Simplify -1 into -1 8.961 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 8.961 * [taylor]: Taking taylor expansion of a in a 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.961 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.962 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 8.962 * [backup-simplify]: Simplify (* -1 0) into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 8.963 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 8.963 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 8.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 8.964 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 8.964 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 8.966 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 8.966 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 8.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 8.968 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 8.970 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 8.970 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 8.973 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 8.973 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 8.977 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 8.977 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 8.977 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 8.977 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.977 * [taylor]: Taking taylor expansion of a in a 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 1 into 1 8.977 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.977 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.977 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.977 * [taylor]: Taking taylor expansion of a in a 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 1 into 1 8.977 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.978 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.978 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.978 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.981 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.982 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.984 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 8.986 * * * * [progress]: [ 2 / 2 ] generating series at (2) 8.986 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 8.986 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 8.986 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.986 * [taylor]: Taking taylor expansion of -1 in a 8.986 * [backup-simplify]: Simplify -1 into -1 8.986 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.986 * [taylor]: Taking taylor expansion of a in a 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.986 * [taylor]: Taking taylor expansion of (acos a) in a 8.986 * [backup-simplify]: Simplify (acos a) into (acos a) 8.986 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.986 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.986 * [taylor]: Taking taylor expansion of -1 in a 8.986 * [backup-simplify]: Simplify -1 into -1 8.986 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.986 * [taylor]: Taking taylor expansion of a in a 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.986 * [taylor]: Taking taylor expansion of (acos a) in a 8.986 * [backup-simplify]: Simplify (acos a) into (acos a) 8.986 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.987 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 8.987 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.987 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 8.987 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 8.987 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.988 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 8.989 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.990 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [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 8.991 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [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 8.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [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 8.996 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 8.996 * [backup-simplify]: Simplify 0 into 0 8.996 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 8.996 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 8.996 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 8.996 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 8.996 * [taylor]: Taking taylor expansion of -1 in a 8.996 * [backup-simplify]: Simplify -1 into -1 8.996 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 8.996 * [taylor]: Taking taylor expansion of a in a 8.996 * [backup-simplify]: Simplify 0 into 0 8.996 * [backup-simplify]: Simplify 1 into 1 8.996 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.996 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.996 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 8.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 8.997 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.997 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 8.997 * [taylor]: Taking taylor expansion of -1 in a 8.997 * [backup-simplify]: Simplify -1 into -1 8.997 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 8.997 * [taylor]: Taking taylor expansion of a in a 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.997 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.997 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.997 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 8.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 8.997 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.998 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 8.998 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.998 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 9.000 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.000 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 9.001 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.001 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 9.003 * [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 9.003 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 9.007 * [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 9.007 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 9.011 * [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 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 9.012 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 9.012 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 9.012 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 9.012 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.012 * [taylor]: Taking taylor expansion of a in a 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.012 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.012 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.012 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 9.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 9.013 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 9.013 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 9.013 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.013 * [taylor]: Taking taylor expansion of a in a 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.013 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.013 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 9.014 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 9.014 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 9.014 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 9.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 9.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 9.015 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 9.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.017 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 9.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.020 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 9.023 * [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 9.023 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 9.026 * [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 9.026 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 9.033 * [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 9.033 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 9.034 * * * [progress]: simplifying candidates 9.036 * [simplify]: Simplifying: (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) (- (log 1) (log a)))) (- (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (* (- (acos a)) (/ 1 a)))) (- 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)))) (- 0 (log (* (- (acos a)) (/ 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) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 9.038 * * [simplify]: iteration 0: 129 enodes 9.116 * * [simplify]: iteration 1: 383 enodes 9.372 * * [simplify]: iteration 2: 2421 enodes 11.434 * * [simplify]: iteration complete: 5000 enodes 11.434 * * [simplify]: Extracting #0: cost 37 inf + 0 11.439 * * [simplify]: Extracting #1: cost 1143 inf + 2 11.453 * * [simplify]: Extracting #2: cost 1730 inf + 32420 11.497 * * [simplify]: Extracting #3: cost 514 inf + 313605 11.597 * * [simplify]: Extracting #4: cost 4 inf + 444946 11.688 * * [simplify]: Extracting #5: cost 0 inf + 446032 11.774 * [simplify]: Simplified to: (expm1 (- (/ (acos a) a))) (log1p (- (/ (acos a) a))) (- (/ (acos a) a)) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (exp (- (/ (acos a) a))) (* (* (/ (acos a) a) (/ (acos a) a)) (- (/ (acos a) a))) (* (* (/ (acos a) a) (/ (acos a) a)) (- (/ (acos a) a))) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a))) (* (* (/ (acos a) a) (/ (acos a) a)) (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (acos a) a) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (/ (/ (- (acos a)) (cbrt a)) (cbrt a)) (- (/ (acos a) (sqrt a))) (- (acos a)) (/ (/ (- (acos a)) (cbrt a)) (cbrt a)) (- (/ (acos a) (sqrt a))) (- (acos a)) (/ (/ (- (acos a)) (cbrt a)) (cbrt a)) (- (/ (acos a) (sqrt a))) (- (acos a)) (- (acos a)) (- (acos a)) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (- (/ (acos a) a)) (/ (acos a) 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)) (expm1 (* (/ 1 (- (acos a))) a)) (log1p (* (/ 1 (- (acos a))) a)) -1 -1 (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (exp (* (/ 1 (- (acos a))) a)) (/ (/ 1 (* (/ (acos a) a) (/ (acos a) a))) (- (/ (acos a) a))) (/ (/ 1 (* (/ (acos a) a) (/ (acos a) a))) (- (/ (acos a) a))) (/ (/ 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) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (* (/ 1 (- (acos a))) a) (- (/ (acos a) a)) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 11.778 * * * [progress]: adding candidates to table 12.047 * [progress]: [Phase 3 of 3] Extracting. 12.047 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 12.048 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 12.048 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # # #) 12.135 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # #) 12.225 * * * [regime]: Found split indices: #